Wiley, 2024. — 318 p. — ISBN 9781786308115 Numerical modeling now plays a central role in the design and study of electromagnetic systems. In the field of devices operating in low frequency, it is the finite element method that has come to the fore in recent decades. Today, it is widely used by engineers and researchers in industry, as well as in research centers. This book...
Wiesbaden: Springer Vieweg, 2025. — 179 S. — ISBN 978-3-658-47611-3. Dieses Lehrbuch richtet sich an Studierende und Lehrende ingenieurwissenschaftlicher Studiengänge. Es stellt Möglichkeiten der didaktischen Aufbereitung komplexer Zusammenhänge der Mechanik mit digitalen Lehr- und Lernmethoden dar. Dadurch wird exemplarisch gezeigt, wie Lehre in der Technischen Mechanik und...
Birkhäuser, 2024. - 160 p. - (Compact Textbooks in Mathematics). - ISBN 3031725298. This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience. The author accomplishes this, in part, by including numerous exercises and illustrations. Each chapter begins with a clear outline to help make complex concepts...
3rd. ed. - CRC Press, 2025. - 392 p. - ISBN 1032947497. This book is a concise, self-contained treatment of the finite element method and all the computational techniques needed for its efficient use and practical implementation. This book describes the process of transforming the physical problem into a mathematical model, the reduction of the mathematical model to a...
Cambridge: Cambridge University Press, 2021. — 859 p. — ISBN: 978-1-108-47168-8. Connecting theory with numerical techniques using MatLAB, this practical textbook equips students with the tools required to solve finite element problems. This hands-on guide covers a wide range of engineering problems through nine well structured chapters including solid mechanics, heat transfer,...
Clarendon Press, Oxford, 1984. — 565 p. — ISBN 0-19-856211-X. The book begins with the fundamentals and covers simple bars and frames to the more advanced topics concerning plates, vibration, and buckling of bars and plates. As stated by the author, "This book is concerned almost exclusively with displacement type analysis, that is, with the type of analysis in which the...
Dover Publications, New York, 2008. — 356 p. — ISBN-13: 978-0-486-46676-7. Originally developed to address specific areas of structural mechanics and elasticity, the finite element method is applicable to problems throughout applied mathematics, continuum mechanics, engineering, and physics. This text elucidates the method's broader scope, bridging the gap between mathematical...
Springer, 2024. — 762 p. — (Infosys Science Foundation Series in Mathematical Sciences). — ISBN 9819757096. This book discusses major topics and problems in finite element methods. It is targeted to graduate students and researchers in applied mathematics, physics, and engineering, wishing to learn and familiarize themselves with finite element theory. The book describes the...
London: Professional Engineering Publishing, 2004. — 204 p. — ISBN 1 86058 4101. "An Introductory Guide to Finite Element Analysis" is written specifically for engineers and scientists who want to understand the fundamental theory of finite element (FE) analysis and to learn how to analyse practical problems using FE software. Based on lecture notes compiled by the author...
Austin: Society for Industrial and Applied Mathematics; SIAM, 2024. — 212 p. This book discusses the foundations of the mathematical theory of finite element methods. The focus is on two subjects: the concept of discrete stability, and the theory of conforming elements forming the exact sequence. Both coercive and noncoercive problems are discussed.. Following the historical...
Springer, Switzerland, 2016. — 365 p. — ISBN 978-3-319-39003-1. New finite elements are needed as well in research as in industry environments for the development of virtual prediction techniques. The design and implementation of novel finite elements for specific purposes is a tedious and time consuming task, especially for nonlinear formulations. The automation of this...
Dover Publications, Mineola, 2006. — 350 p. — ISBN-13: 978-0486453019. A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers students of engineering and physics a comprehensive view of the principles involved, with numerous illustrative examples and exercises. Starting with...
Dover Publications, Mineola, 2000. — 468 p. — ISBN 0-486-44973-4. Geared toward undergraduate and graduate students, this text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. It treats both theory and applications from a general and unifying point of view. The...
2nd. ed. — CRC Press, 2024. — 772 p. — ISBN 1032346299. Now in its second edition , Introduction to Finite Element Analysis for Engineers is an essential introduction to FEA as a method to solve differential equations . With many practical examples focusing on both solid mechanics and fluid mechanics, it includes problems for both applications. Using a structure of classes of...
CRC Press, 2025. — 507 p. — ISBN 9781032359182. This book covers code development for structural analysis and includes topics from finite element methods such as modeling and analysis of continuum structures. It explains the concepts showing derivation of necessary equations, relationships, and steps in solving structural analysis problems. It contains worked examples, problem...
Springer, 2024. — 291 p. — ISBN 3031563689. This textbook introduces the widely used numerical technique FEM in various engineering disciplines for the analysis of structures, heat transfer, fluid dynamics, and other physical phenomena. Appropriate for interested senior undergraduate engineering students and beginner graduate students in a one-semester introductory course, this...
2nd. ed. - Springer, 2024. - 812 p. - ISBN 3031487877. This new edition includes three new chapters, 7 through 9 , that have very broad, practical applications in engineering and science . In addition, the author’s latest research results incorporated into the new textbook demonstrates better performance than the popular METIS software for partitioning graphs, partitioning...
USP, 2023. — 614 p. Preface Mathematical Preliminaries Introduction Matrix Definition Types of Matrices Addition or Subtraction of Matrices Multiplication of a Matrix by Scalar Multiplication of a Matrix by Another Matrix Rules of Matrix Multiplications Transpose of a Matrix Multiplication Trace of a Matrix Differentiation of a Matrix Integration of a Matrix Equality of...
Springer, 2024. — 126 p. Preface List of Figures List of Tables Accurate Finite-Difference Methods for Helmholtz and Wave Equations Higher-Order Finite-Difference Methods for the Burgers' Equations High-Accuracy Finite Element Methods for Solution of Discrete Spectrum Problems Continuous Analogue of Newton's Method for Solving the Generalized Eigenvalue Problem PI-Type Fully...
Uniwersytet Warmińsko-Mazurski w Olsztynie, 2019. — 157 p. — ISBN 978-83-8100-200-4. Basic principles and concepts of the own nonlinear constitutive models suitable for traditional engineering applications in solid mechanics, such as an analysis of a complex stress state in unreinforced and reinforced concrete structures, in masonry and timber structures and in soil mechanics...
2nd Edition. — CRC Press, 2023. — 535 p. — ISBN: 978-0-367-62145-2. Developed from the author’s course on advanced mechanics of composite materials, Finite Element Analysis of Composite Materials with Abaqus(R) shows how powerful finite element tools tackle practical problems in the structural analysis of composites. This Second Edition includes two new chapters on Fatigue and...
Elsevier, 2024. — 312 p. Preface Introduction Fundamentals The p-version of the finite element method The Generalized Finite Element Method Discontinuity-enriched finite element formulations Applications GFEM approximations for fractures Generalized enrichment functions for weak discontinuities Immerse boundary (fictitious domain) problems Non-conforming mesh coupling and...
Singapore: World Scientific Publishing Company, 2022. - 661 p. - ISBN 9811250618. This comprehensive compendium presents the detailed theory, implementation and application of finite element analysis via heavily commented MatLAB scripts . The book includes over 110 examples of the methods, and has a very detailed subject index. It uniquely illustrates the use of symbolic MatLAB...
3rd Edition. — SAE International, 2023. — 287 p. — ISBN: 978-1-4686-0536-5. Finite Element Analysis (FEA) has been widely implemented by the automotive industry as a productivity tool for design engineers to reduce both development time and cost. This essential work serves as a guide for FEA as a design tool and addresses the specific needs of design engineers to improve...
2nd. ed. - Boston: Mercury Learning and Information, 2023. - 612 p. - ISBN 1683924150. Finite Element Analysis, second edition , is a comprehensive guide that explores the versatility and affordability of the finite element method (FEM) as a powerful tool for solving engineering problems across various industries. This book provides a practical introduction to FEM analysis,...
John Wiley & Sons, 2024. — 367 p. — ISBN: 9780470667088. While it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. Partition of...
3rd Edition, 2015. — 503 p. This book intends to provide basic information to help the beginner Finite Element Analysis (FEA) modeler as well as the novice HyperWorks user to get started. CAE-Driven Design Process Analysis Types Introduction To Finite Element Analysis What Is Needed To Run A Finite Element Analysis? Strategic Planning Common Mistakes And Errors Consistent Units...
FEA Academy, 2020. — 660 p. — ISBN 978-1-9990475-2-8. This book is intended for all structural engineers wishing to solve problems using FEA, including both experienced engineers and students who want to know what FEA is, how it works, and how to use good modeling practices to develop accurate and reliable finite element models. The reader is assumed to have a basic...
Springer Vieweg, 2023. — 438 p. — ISBN 3658427418. The textbook at hand offers an introduction to Finite Element Methods from an engineering point of view comprising the basic principles of virtual work, derivations of displacement-based, mixed and hybrid element formulations for 1-D and 2-D membrane as well as bending structures and heat conduction. Different element...
2nd edition. — Boca Raton: CRC Press, 2024. — 321 p. — ISBN 978-1-032-56602-3. Finite element analysis has been widely applied in mechanical, civil, and biomedical designs. This new edition provides the readers with comprehensive views of various material models through practical examples, which will help them better understand various materials and build appropriate material...
Белкин А.Е., Гаврюшин С.С. Расчет пластин методом конечных элементов: Учеб. пособие. — М.: Изд-во МГТУ им. Н.Э. Баумана, 2008. — 232с. В пособии приведены краткие сведения о теоретических основах расчета пластин при изгибе по моделям Кирхгофа и Тимошенко-Миндлина. Рассмотрены различные вариационные формулировки задачи изгиба пластин, служащие основой конечно-элементного...
М.: Советское радио, 1978. — 192 с.: ил. В доступной форме показано применение метода конечных разностей для расчетов на ЦВМ для тепловых и механических процессов. Метод основан на представлении сложных физических процессов, происходящих в больших объемах, простыми процессами, протекающими м малых объемах кубической формы. Книга адресована в первую очередь радиоконструкторам,...
Cambridge: Cambridge University Press, 2021. — 370 p. — ISBN13 9781108497091. — ISBN10 1108497098. This innovative approach to teaching the finite element method blends theoretical, textbook-based learning with practical application using online and video resources. This hybrid teaching package features computational software such as MatLAB, and tutorials presenting software...
ДНУ, Днепр, 2021 год. 10 стр. В практической работе показано применения метода конечных элементов к приближению поверхности ( в примере поверхность описывается гармонической функцией). Работа сопровождается подробными пояснениями и рисунками. Программа расчета выполнена в MatLAB. Все пояснения в работе на украинском языке. ДНУ, Дніпро, 2021 рік. 10 стр. У практичній роботі...
Учебное пособие. — Казань: Казанский государственный университет (КГУ), 2010. — 71 с. В пособии излагаются основные этапы построения и программной реализации схем метода конечных элементов приближенного решения краевых задач для линейных эллиптических уравнений второго порядка. Пособие рассчитано на студентов старших курсов и аспирантов, специализирующихся в области методов...
Учебное пособие. — Ереван: Российско-Армянский университет, 2022. — 142 с. — ISBN 978-9939-67-294-6. Предлагаемая книга посвящена методу конечных элементов, который получил широкое распространение как один из наиболее эффективных инструментов численного решения дифференциальных уравнений в частных производных. Издание может рассматриваться как введение в современные...
Walter de Gruyter, 2016. — 157 p. All relevant implementation aspects of finite element methods are discussed in this book. The focus is on algorithms and data structures as well as on their concrete implementation. Theory is covered only as far as it gives insight into the construction of algorithms. In the exercises, a complete FE-solver for stationary 2D problems is...
Издательство не указано. — 62 с. Курс лекций для студентов факультета ВМК Московского государственного университета (МГУ) имени М.В. Ломоносова подготовлен при поддержке Московского центра фундаментальной и прикладной математики. Введение. Расчетная сетка и ее геометрические элементы. Типы расчетных сеток. Способы описания неструктурированных расчетных сеток. Использование...
Cham: Springer, 2023. — 205 p. The book presents the fundamentals of the Galerkin Finite Element Method for linear boundary value problems from an engineering perspective. Emphasis is given to the theoretical foundation of the method rooted in Functional Analysis using a language accessible to engineers. The book discusses standard procedures for applying the method to...
Springer, 2021. — 306 p. — ISBN 9813345233. This book introduces the basic structure, modeling methods, numerical calculation processes, post-processing, and system functions of MatDEM, which applies the basic principles and algorithm of the discrete element method. The discrete element method can effectively simulate the discontinuity, inhomogeneity, and large deformation...
Учебное пособие. — Благовещенск: Амурский государственный университет, 2019. — 71 с. В учебном пособии рассматриваются основные теоретические сведения о методе конечных элементов, примеры использования инструментальных возможностей ППП MatLAB и COMSOL Multiphysics для решения практических задач. Приводятся варианты индивидуальных заданий для лабораторных работ и вопросы для...
Springer, 2023. — 228 p. This book is an attempt to develop a guide for the user who is interested in learning the method by doing. There is enough discussion of some of the basic theory so that the user can get a broad understanding of the process. And there are many examples with step-by-step instructions for the user to quickly develop some proficiency in using FEA. We have...
Монография. — Красноярск: Сибирский федеральный университет (СФУ), 2021. — 196 с. Рассмотрен метод конечных элементов как один из самых эффективных методов решения краевых и начально-краевых задач математической физики. Изложены теоретические основы эрмитовых конечных элементов, менее изученных и распространенных в практических приложениях, чем традиционные лагранжевы элементы....
Springer, 2022. — 481 p. — ISBN 3031087232. This textbook has been primarily written for undergraduate and postgraduate engineering students studying the mechanics of solids and structural systems. The content focuses on matrix, finite elements, structural analysis, and computer implementation in a unified and integrated manner. Using classical methods of structural analysis,...
Springer, 2022. — 621 p. — (SEMA SIMAI Springer Series 31). — ISBN-13 9783030953188. Метод виртуальных элементов и его приложения The purpose of this book is to present the current state of the art of the Virtual Element Method (VEM) by collecting contributions from many of the most active researchers in this field and covering a broad range of topics: from the mathematical...
Cham: Springer, 2022. — 119 p. This book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for discrete systems with constraints such as those which arise from mixed formulations. Starting by recalling the basic theory of mixed finite element methods, the book goes on to discuss the...
6th Enhanced Edition. — Cengage Learning, 2023. — 980 p. — ISBN 978-0-357-67643-1. Gain a clear understanding of the basics of the finite element method (FEM) with this simple, direct, contemporary approach in Logan's A First Course in the Finite Element Method, Enhanced 6th Edition, SI Version. This unique presentation is written so you can easily comprehend content without...
Singapore: Bentham Science Publishers, 2022. — 178 p. This book explains uncertainty analysis for finite elements and general nonlinear problems. It starts with the fundamentals of the topic and progresses to complex methods through 9 chapters. Each chapter focuses on a specific, relevant topic and provides information in a structured reading format for advanced learners. The...
Singapore: Springer, 2022. — 210 p. This textbook is intended to be used by the senior engineering undergraduate and the graduate student. Nowadays, the finite element method has become one of the most widely used techniques in all the engineering fields, including aerospace engineering, mechanical engineering, biomedical engineering, etc. To unveil the FE technique, the...
Cham: Springer International Publishing, 2016. — 272 p. This book gathers selected contributions on emerging research work presented at the International Conference eXtended Discretization MethodS (X-DMS), held in Ferrara in September 2015. It highlights the most relevant advances made at the international level in the context of expanding classical discretization methods, like...
Singapore: World Scientific Publishing Company, 2021. — 651 p. The differential quadrature hierarchical finite element method (DQHFEM) was proposed by Bo Liu. This method incorporated the advantages and the latest research achievements of the hierarchical finite element method (HFEM), the differential quadrature method (DQM) and the isogeometric analysis (IGA). The DQHFEM also...
Chapman and Hall/CRC, 2022. — 182 p. Computational Framework for the Finite Element Method in MatLAB and Python aims to provide a programming framework for coding linear FEM using matrix-based MatLAB language and Python scripting language. It describes FEM algorithm implementation in the most generic formulation so that it is possible to apply this algorithm to as many...
Учебное пособие. — СПб.: Балтийский государственный технический университет (БГТУ) имени Д.Ф. Устинова "Военмех", 2020. — 123 с. — ISBN 978-5-907324-05-3. Пособие посвящено введению в метод конечных элементов и его приложению к решению краевых задач для дифференциальных уравнений и уравнений с частными производными. Рассмотрены схемы получения уравнений при помощи метода...
Учебное пособие. — СПб.: Балтийский государственный технический университет им. Д.Ф. Устинова (БГТУ) "Военмех", 2018. — 42 с. Рассмотрены методы решения двумерных задач математической физики методом конечных элементов на Mathcad, нестационарных двумерных задач математической физики, приведены алгоритмы автоматизации разбиения области, где ищется решение, на конечные элементы, а...
Учебное пособие. — Краснодар: Кубанский государственный университет (КубГУ), 2015. — 75 с. — ISBN 978-5-8209-1077-7. В пособии излагаются основы, необходимые для применения на практике метода конечных элементов высокой степени точности, называемого также методом спектральных элементов, для решения дифференциальных уравнений с частными производными. Приводятся примеры...
Routledge, 2022. — 2022. — ISBN-13 9780429341564. Existing structures represent a heterogeneous category in the global built environment as often characterized by the presence of archaic materials, damage and disconnections, uncommon construction techniques and subsequent interventions throughout the building history. In this scenario, the common linear elastic analysis...
CRC Press, Taylor & Francis Group, LLC, 2022. — 496 p. — ISBN-13 9789054107651. The interest in finite element method as a solution technique of the computer age is reflected in the availability of many general and special purpose software based on this technique. This work aims to provide a complete and detailed explanation of the basics of the application areas. Introduction...
Конспект лекций. — СПб.: Балтийский государственный технический университет "Военмех" им. Д.Ф. Устинова (БГТУ), 2013. — 72 с. — ISBN 978-5-85546-750-5. Рассмотрены основные этапы решения задач статики стержневых конструкций, методика формирования матриц жёсткости стержневых элементов с использованием метода Бубнова-Галёркина. Приведены примеры подготовки структур данных для...
Benutzerhandbuch. — Dlubal Software GmbH: Tiefenbach, 2020. — 643 S. RFEM, das FE-Programm für Platten, Scheiben, Schalen, Volumen und Stabwerke, ist ein leistungsfähiges Werkzeug für die verschiedenen Aufgaben im modernen Ingenieurbau. Dieses Programm bildet die Basis einer modular konzipierten Software: RFEM ermittelt die Schnittgrößen, Verformungen und Lagerreaktionen...
Boca Raton CRC Press, 2013. — 438 p. — ISBN 978-1-4665-1663-2. Developed from the author’s graduate-level course on advanced mechanics of composite materials, Finite Element Analysis of Composite Materials with Abaqus shows how powerful finite element tools address practical problems in the structural analysis of composites. Unlike other texts, this one takes the theory to a...
ITexLi, 2021. — 297 p. — ISBN 1839623411 9781839623417 183962356X 9781839623561. This book provides several applications of the finite element method (FEM) for solving real-world problems. This book describes the development of FEM and discusses and illustrates its specific applications. FEM is a widely used technique for numerical simulations in many areas of physics and...
CRC Press, Boca Raton, 2006. — 425 p. — ISBN 0-8493-3407-1. The finite element method (FEM) is the dominant tool for numerical analysis in engineering, yet many engineers apply it without fully understanding all the principles. Learning the method can be challenging, but Mike Gosz has condensed the basic mathematics, concepts, and applications into a simple and...
М.: Физматлит, 2010. — 1024 с. Книга представляет собой критическое изложение как самих методов конечных элементов, так и их приложений в механике твердых тел, гидромеханике, теории фильтрации и теории теплопередачи. После предварительной информации о построении математических моделей приводятся формулировки как линейных, так и нелинейных задач. Метод конечных элементов...
М.: Стройиздат, 1982. — 448 с. Излагаются численные методы анализа, применяемые при решении задач строительной механики методом конечных элементов и получившие развитие в связи с широким использованием ЭВМ в практике расчетов. Рассмотрены основные теории матриц и линейной алгебры, основные принципы метода конечных элементов. Значительное внимание уделено методам решения систем...
Berlin: Springer, 2004. — 382 p. The position taken in this collection of pedagogically written essays is that conjugate gradient algorithms and finite element methods complement each other extremely well. Via their combinations practitioners have been able to solve differential equations and multidimensional problems modeled by ordinary or partial differential equations and...
Монография. — М.: Физматлит, 2015. — 544 с. — ISBN 978-5-9221-1632-9. Пятитомный цикл монографий посвящен изложению моделей и методов для решения нелинейных задач механики деформируемого твердого тела с упором на задачи при больших деформациях и их наложении, а также разработке систем прочностного инженерного анализа (прочностных CAE). В томе II излагаются численные методы...
Монография. — Под общ. ред. В.А. Левина. — Москва: Физматлит, 2016. — 216 с. — ISBN 978-5-9221-1730-2. Пятитомный цикл монографий посвящен изложению моделей и методов для решения нелинейных задач механики деформируемого твердого тела с упором на задачи при больших деформациях и их наложении, а также разработке систем прочностного инженерного анализа (прочностных CAE). В томе IV...
Монография. — М.: Физматлит, 2016. — 400 с. — ISBN 978-5-9221-1660-2. Пятитомный цикл монографий посвящен изложению моделей и методов для решения нелинейных задач механики деформируемого твердого тела с упором на задачи при больших деформациях и их наложении, а также разработке систем прочностного инженерного анализа (прочностных CAE). В томе III приведены точные и приближенные...
ITexLi, 2020. — 130 p. — ISBN 1-83880-072-7, 978-1-83880-072-7, 1-83880-341-6, 978-1-83880-341-4. The main content of this book is related to construction of analytical solutions of differential equations and systems of mathematical physics, to development of analytical methods for solving boundary value problems for such equations and the study of properties of their...
Монография. — Москва: Физматлит, 2015. — 456 с. Пятитомный цикл монографий посвящен изложению моделей и методов для решения нелинейных задач механики деформируемого твердого тела с упором на задачи при больших деформациях и их наложении, а также разработке систем прочностного инженерного анализа (прочностных CAE). В томе I описаны востребованные при промышленном проектировании...
Монография. — Москва: Физматлит, 2015. — 544 с. Пятитомный цикл монографий посвящен изложению моделей и методов для решения нелинейных задач механики деформируемого твердого тела с упором на задачи при больших деформациях и их наложении, а также разработке систем прочностного инженерного анализа (прочностных CAE). В томе II излагаются численные методы решения задач механики...
Монография. — Москва: Физматлит, 2016. — 400 с. Пятитомный цикл монографий посвящен изложению моделей и методов для решения нелинейных задач механики деформируемого твердого тела с упором на задачи при больших деформациях и их наложении, а также разработке систем прочностного инженерного анализа (прочностных CAE). В томе III приведены точные и приближенные аналитические и...
Монография. — Москва: Физматлит, 2016. — 216 с. Пятитомный цикл монографий посвящен изложению моделей и методов для решения нелинейных задач механики деформируемого твердого тела с упором на задачи при больших деформациях и их наложении, а также разработке систем прочностного инженерного анализа (прочностных CAE). В томе IV проводится детальное обсуждение разнообразного...
Springer, Berlin, 2006. — 228 p. — ISBN-13: 978-3-540-32351-8. A new approach is presented in this book for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates. Apart from its simple physical interpretation and easy computer implementation,...
2nd edition. — Wiley, 2021. — 387 p. — ISBN 9781119426424. An updated and comprehensive review of the theoretical foundation of the finite element method The revised and updated second edition of Finite Element Analysis: Method, Verification, and Validation offers a comprehensive review of the theoretical foundations of the finite element method and highlights the fundamentals...
2nd edition. — Wiley, 2021. — 387 p. — ISBN 9781119426424. An updated and comprehensive review of the theoretical foundation of the finite element method The revised and updated second edition of Finite Element Analysis: Method, Verification, and Validation offers a comprehensive review of the theoretical foundations of the finite element method and highlights the fundamentals...
Second Edition. — CRC Press, Boca Raton, 2009. — 336 p. — ISBN-13: 978-1-4398-0295-3. Finite element analysis (FEA) has become the dominant tool of analysis in many industrial fields of engineering, particularly in mechanical and aerospace engineering. This process requires significant computational work divided into several distinct phases. What Every Engineer Should Know...
М.: Машиностроение, 1988. — 256 с. — ISBN 5-217-00011-2. Изложена методология создания программного обеспечения для численной реализации на ЭВМ матричных алгоритмов решения разнообразных задач механики и физики и, в частности, матричных алгоритмов метода конечных элементов. Описываются структура и принципы функционирования системы матричного программного обеспечения (СМПО), а...
CRC Press, 2021. — 341 p. — ISBN 978-1-032-04158-2. Finite Element Analysis of Solids and Structures combines the theory of elasticity (advanced analytical treatment of stress analysis problems) and finite element methods (numerical details of finite element formulations) into one academic course derived from the author’s teaching, research, and applied work in automotive...
Springer, 2021. — 716 p. — ISBN 978-3-030-49839-9. The book introduces the basic concepts of the finite element method in the static and dynamic analysis of beam, plate, shell and solid structures, discussing how the method works, the characteristics of a finite element approximation and how to avoid the pitfalls of finite element modeling. Presenting the finite element theory...
Springer, 2021. — 232 p. — ISBN-13 9783030658922. This book is focused on the introduction of the finite difference method based on the classical one-dimensional structural members, i.e., rods/bars and beams. It is the goal to provide a first introduction to the manifold aspects of the finite difference method and to enable the reader to get a methodical understanding of...
Johannes Kepler Universit¨at. — Linz, 2006. — 177 p. This thesis deals with the higher-order Finite Element Method (FEM) for computational electromagnetics. The hp-version of FEM combines local mesh refinement (h) and local increase of the polynomial order of the approximation space (p). A key tool in the design and the analysis of numerical methods for electromagnetic problems...
Philadelphia, Siam., 2002. — 559 p. — (Classics in applied mathematics 40). — ISBN 0-89871-514-8. The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a...
Elsevier North-Holland, Inc., 1979. — 551 p. — (Studies in Mathematics and Its Applications 04). — ISBN 0-444-85028-7. The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also...
CRC Precc, 2020. — 323 p. — ISBN 978-1-4987-5946-5. This book is intended to be a cookbook for students and researchers to understand the finite element method and optimization methods and couple them to effect shape optimization. The optimization part of the book will survey optimization methods and focus on the genetic algorithm and Powell’s method for implementation in the...
Springer, 2021. — 492 p. — (Texts in Applied Mathematics, 73). — ISBN 978-3-030-56922-8. This book is the second volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and...
Springer, 2021. — 492 p. — (Texts in Applied Mathematics, 73). — ISBN 978-3-030-56922-8. This book is the second volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and...
Springer, 2013. — 137 p. — (Lecture Notes in Electrical Engineering 230). — ISBN 978-3-642-36100-5. Метод ячеек для задач электротехники и мультифизики This book presents a numerical scheme for the solution of field problems governed by partial differential equations: the cell method. The technique lends itself naturally to the solution of multiphysics problems with several...
Berlin: Springer, 1982. — 502 p. The Use of ADINA in Engineering Practice Ansys APPLE-SAP Structural Analysis System ASAS — A Large-Scale, Sophisticated Finite Element Analysis System The ASKA Finite Element System BEASY A Boundary Element Analysis System A Description of the BERSAFE System The CASTEM Finite Element System CA.ST.OR COMET-PR: The First Computer Implementation of...
Springer, 2021. — 417 p. — (Texts in Applied Mathematics, 74). — ISBN 978-3030573478. This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and...
Springer, 2021. — 417 p. — (Texts in Applied Mathematics, 74). — ISBN 978-3030573478. This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and...
Cambridge: Cambridge University Press, 2021. - 350 p. - ISBN 9781107115620. Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation...
Springer, 2021. — 176 p. — ISBN-13 9783030658922. This book is focused on the introduction of the finite difference method based on the classical one-dimensional structural members, i.e., rods/bars and beams. It is the goal to provide a first introduction to the manifold aspects of the finite difference method and to enable the reader to get a methodical understanding of...
Cham: Springer, 2021. — 323 p. This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a...
Wiley, 2020. — 352 p. — ISBN 9781119671640. Master the finite element method with this masterful and practical volume An Introduction to the Finite Element Method for Differential Equations provides readers with a practical and approachable examination of the use of the finite element method in mathematics. Author Mohammad Asadzadeh covers basic FEM theory, both in...
CRC Press, 2020. — 177 p. The finite element method is widely employed for numerical simulations in engineering and science due to its accuracy and efficiency. This concise introduction to the mathematical theory of the finite element method presents a selection of applications in civil and mechanical engineering including beams, elastic membranes, the wave equation, heat...
New York: Springer, 2020. — 616 p. Comprehensive introduction to the Dune software. The Distributed and Unified Numerics Environment (Dune) is a set of open-source C++ libraries for the implementation of finite element and finite volume methods. Over the last 15 years it has become one of the most commonly used libraries for the implementation of new, efficient simulation...
Springer, 2020. — 197 p. — (Springer Monographs in Mathematics). — ISBN: 978-3-030-55676-1. This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear...
Cham: Springer, 2015. — 195 p. Finite volume methods are used in numerous applications and by a broad multidisciplinary scientific community. The book communicates this important tool to students, researchers in training and academics involved in the training of students in different science and technology fields. The selection of content is based on the author's experience...
Диссертация на соискание ученой степени доктора физико-математических наук. : 01.01.07— вычислительная математика. — Лимерский университет. — Лимерик: 2018. — 298 с. Научный консультант: д.ф-м. н. проф. Б.Андреев. Цель исследования теоретическое исследование конечноэлементных аппроксимаций полулинейных сингулярно возмущенных уравнений реакций-дифузий.
Алматы: Қыздар университеті, 2012. — 318 б. Қазіргі заманғы ең озық сандық әдіс – шекті элементтер әді-сінің (ШЭӘ) негізі матрицалар алгебрасы, аналитикалық геомет-рия, физикалық Гук заңымен байланыстырылып жазылған. Оқулық мемлекеттік, ҧлттық тағы басқа университеттердің физика-матема-тикалық, инженерлік техникалық тағы басқа мамандықтарының студенттері мен магистранттарының...
Учебное пособие. — Казань: Казанский университет, 2013. — 120 с. Пособие содержит основные понятия метода конечных элементов в применении к уравнениям в частных производных. Предназначено для студентов III курса Института математики и механики.
Hoboken (NJ): John Wiley & Sons, 2020. — 334 p. — ISBN: 1119671647. The objective of this book is two-fold . The first objective is to construct, as much as possible, stable finite element schemes without affecting accuracy. The second objective is to derive convergence of the numerical schemes up to maximal available regularity of the exact solution. The first two chapters of...
CRC Press; Taylor & Francis Group, 2020. — 327 p. — ISBN13: 978-0-367-35320-9. Finite element analysis has been widely applied in mechanical, civil, and biomedical designs. This book aims to provide the readers comprehensive views of various material models with practical examples, which would help readers understand various materials, and build appropriate material models in...
Учебно-методическое пособие для студентов инженерных направлений подготовки. — Набережные Челны: НЧИ (ф) КФУ, 2017. — 25 с.: ил. Учебно-методическое пособие по проведению лабораторных и практических занятий по дисциплинам «Системы автоматизированного проектирования» и «Информационное обеспечение, базы данных» для студентов инженерных направлений подготовки.
Spriger, 2019. — 289 p. — ISBN: 978-3-658-27736-9. Christoph Lohmann introduces a very general framework for the analysis and design of bound-preserving finite element methods. The results of his in-depth theoretical investigations lead to promising new extensions and modifications of existing algebraic flux correction schemes. The main focus is on new limiting techniques...
2nd ed. — Springer, 2020. — 365 p. — ISBN: 303047951X. This book illustrates how MatLAB compact and powerful programming framework can be very useful in the finite element analysis of solids and structures. The book shortly introduces finite element concepts and an extensive list of MatLAB codes for readers to use and modify. The book areas range from very simple springs and...
Springer, 2020. — 644 p. — ISBN: 9811529442. This book systematically introduces readers to the finite element analysis software DIANA (DIsplacement ANAlyzer) and its applications in civil engineering. Developed by TNO Corporation in the 1970s, DIANA is frequently used in civil engineering and engineering mechanics. Unlike the software user’s manual, which provides a...
AIAA, Reston, 2009. — 154 p. — ISBN: 978-1-56347-997-7. Introducing a novel concept for assessing the accuracy of powerful & versatile finite element structural simulation technology, this book should assist the development of new analysis codes & the modification of existing codes, & will generate reliable solution bounds.
Новосибирск: Сибирский государственный университет путей сообщения (СГУПС), 2015. — 131 с. Изложены основы метода конечных элементов и дан обзор систем конечно-элементного анализа. Рассмотрены примеры оценки напряжений с использованием пакета Femap with NX Nastran. Предназначено для студентов II–IV курсов, обучающихся по специальности «Строительство железных дорог, мостов и...
Wiley, 2014. — 401 p. — ISBN13: 978-1-118-56720-3. Gives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygonal particles Introduces DEM from the fundamental concepts (theoretical mechanics and solidstate physics), with 2D and 3D simulation methods for polygonal particles...
Wiley, Hoboken, 2012. — 352 p. — ISBN: 978-0-470-57237-5. A systematic introduction to the theories and formulations of the explicit finite element method As numerical technology continues to grow and evolve with industrial applications, understanding the explicit finite element method has become increasingly important, particularly in the areas of crashworthiness, metal...
Philadelphia: Society for Industrial and Applied Mathematics, 2018. — 132 p. Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world—wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum...
Hoboken: John Wiley & Sons, 2018. – 710 p. Physical Processes and Mathematical Models Approximation, Error, and Convergence Approximate Solution of Differential Equations and the Finite Element Method Brief History of the Finite Element Method Finite Element Software Significance of Finite Element Analysis for Engineering Typical Process for Obtaining a Finite Element Solution...
2nd Edition. — Springer, 2020. — 626 p. — ISBN: 978-981-15-1277-3. This book is the 2nd edition of an introduction to modern computational mechanics based on the finite element method. It includes more details on the theory, more exercises, and more consistent notation; in addition, all pictures have been revised. Featuring more than 100 pages of new material, the new edition...
Second edition. — CRC Press, 2014. — 366 p. Half a century after their commercial introduction, composite materials arc of widespread use in many industries. Applications such as aerospace, windmill blades, highway bridge retrofit, and many more require designs that assure safe mid reliable operation for twenty years or more. Using composite materials, virtually any property,...
Birkhäuser Basel, 2016. — 111 p. The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust...
Springer, 2008. — 511 p. This book discusses a family of computational methods, known as discontinuous Galerkin methods, for solving partial differential equations. While these methods have been known since the early 1970s, they have experienced an almost explosive growth interest during the last ten to fifteen years, leading both to substantial theoretical developments and the...
Самара: СГАУ, 2011. — 19 с. Элементы теории упругости. Формулы Коши. Объемные деформации. Закон Гука для объемного напряженного состояния. Основные уравнения метода конечных элементов. Представление формул Коши и закона Гука в матричной форме. Условия в пределах конечного элемента. Определение матрицы жесткости элемента. Определение приведенной внешней нагрузки. Переход в...
Конспект лекций. — Харьков: ХНАДУ, 2013. — 31 с. [электр. ресурс] Введение в метод конечных элементов (МКЭ) Основные понятия МКЭ Классификация расчетов МКЭ Этапы решения задачи МКЭ Программы для решения задач МКЭ Атрибуты конечных элементов Основные типы конечных элементов Линейно-упругая пружина как конечный элемент Закон Гука Одномерная пружинная конструкция Пружинный...
Release 4.2.1. — 2019. — 661 p. FreeFEM is a partial differential equation solver for non-linear multi-physics systems in 2D and 3D. Problems involving partial differential equations from several branches of physics, such as fluid-structure interactions, require interpolations of data on several meshes and their manipulation within one program. FreeFEM includes a fast...
Springer, 2020 p. — (CISM International Centre for Mechanical Sciences: Courses and Lectures 597). — ISBN: 978-3-030-33519-9. This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these...
Academic Press, 2020. — 629 p. — ISBN: 978-0-12-814106-9. This book provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and...
Professional Publications, Inc, 2006. — 872 p. — ISBN10: 1591260728. The Best-Selling Book for FE Exam Preparation The FE Review Manual gives you the power to pass the FE exam the first time. Designed to prepare you for the general FE exam in the least amount of time, this review manual provides you with a complete and comprehensive review of the topics covered on the FE exam....
2nd Edition. — Wiley, 2018. — 857 p. — ISBN13: 9781119078722. Introduces the basic concepts of FEM in an easy-to-use format so that students and professionals can use the method efficiently and interpret results properly Finite element method (FEM) is a powerful tool for solving engineering problems both in solid structural mechanics and fluid mechanics. This book presents all...
John Wiley & Sons Ltd, 2018. — 496 p. — ISBN: 9781119329107. Theoretical and experimental study of the mechanical behavior of structures under load Analysis of Engineering Structures and Material Behavior is a textbook covering introductory and advanced topics in structural analysis. It begins with an introduction to the topic, before covering fundamental concepts of stress,...
Springer, 2019. — 490 p. — ISBN: 978-3030139919, 3030139913. The International Meshing Roundtable (IMR) brings together researchers, developers, and application experts in a variety of disciplines, from all over the world, to present and discuss ideas on mesh generation and related topics. The technical papers in this volume present theoretical and novel ideas and algorithms...
Springer, 2019. — 473 p. — ISBN: 9789811357756, 9811357757. This book describes the main concepts of and recent advances in the base forces element method (BFEM). It combines theories, methods, models, numerical results, and an analysis of the BFEM. Each chapter starts with an introduction and derivation of a new mathematical model for the proposed method. Subsequently, the...
Springer, 2019. — 473 p. — ISBN: 9811357757. This book describes the main concepts of and recent advances in the base forces element method (BFEM). It combines theories, methods, models, numerical results, and an analysis of the BFEM. Each chapter starts with an introduction and derivation of a new mathematical model for the proposed method. Subsequently, the methods are...
К.: Будівельник, 1980. — 232 с. В практике проектирования различных строительных конструкций широкое распространение получил метод конечных элементов (МКЭ). Применение МКЭ в традиционной форме к пространственному расчету зданий и сооружений приводит часто к сложным и трудоемким операциям матричной алгебры, связанным с необходимостью решения систем алгебраических уравнений высокого...
Sixth Edition. — Cengage Learning, 2016. — 998 р. Discover a simple, direct approach that highlights the basics you need within A FIRST COURSE IN THE FINITE ELEMENT METHOD, 6E. This unique book is written so both undergraduate and graduate students can easily comprehend the content without the usual prerequisites, such as structural analysis. The book is written primarily as a...
Springer, 2018. — 358 p. — ISBN: 978-1-4939-7421-4. This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level engineering mathematics and the mechanics of solids. The book is divided into two distinct parts of nine chapters and seven appendices. The first chapter reviews the energy concepts in...
Springer, 2018. — 358 p. — ISBN: 978-1-4939-7421-4. This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level engineering mathematics and the mechanics of solids. The book is divided into two distinct parts of nine chapters and seven appendices. The first chapter reviews the energy concepts in...
Springer, 2018. — 358 p. — ISBN: 978-1-4939-7421-4. This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level engineering mathematics and the mechanics of solids. The book is divided into two distinct parts of nine chapters and seven appendices. The first chapter reviews the energy concepts in...
2018. — 62 с. Многие инженеры, несмотря на высшее образование, не знают, что такое метод конечных элементов (МКЭ) и оставляют задачи расчёта конструкций дорогостоящим программным продуктам типа Ansys или Nastran. Назначение этой книги - показать, что МКЭ является таким же несложным методом, как и весь сопромат.
Практикум по лабораторным работам по дисциплине «Математическое моделирование». — Ульяновск: Ульяновский гос. технический ун-т (УлГТУ), 2016. — 36 с. На основе дифференциального уравнения Пуассона отрабатываются навыки численного решения методом конечных элементов типичных задач, возникающих при моделировании физических явлений. Каждая лабораторная работа включает в себя...
Монография. — Кишинев: Штиинца, 1981. — 308 с. Книга посвящена изложению основ одного из наиболее эффективных матричных методов исследований напряженно-деформированного состояния конструкций - метода конечных элементов, а также его приложениям. Подробно рассмотрены принципы метода и вопросы его применения к задачам строительной механики стержневых систем, теории упругости,...
Учебно пособие. — София: Университет по архитектура, строителство и геодезия, 2014. — 259 с. За студенти от строителният факултет на Университет по архитектура, строителство и геодезия. тримерна 3D задача на теорията на еластичността; равнинна задача на теорията на еластичността; енергетични теореми и принципи в строителната механика; вариационен метод на Риц; едномерна...
Учебное пособие. — Куйбышев: Куйбышевск. гос. ун-т, 1986. — 88 с. Учебное пособие по расчету плоских систем методом конечных элементов и суперэлементов составлено в соответствии с программой курса "Строительная механика" для студентов специальностей 1202,1203,1205. Оно содержит теоретические основы расчета систем стержневых, простых и сложных треугольных и прямоугольных элементов,...
Cambridge University Press, Cambridge, 2016. — 341 p. — ISBN: 978-1-107-11579-8, 1107115795. Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical...
Revised ed. — Dover Publications, Mineola, 2002. — 129 p. — ISBN: 9780486428185, 0-486-42818-4. Discrepancies frequently occur between a physical system's responses and predictions obtained from mathematical models. The Spectral Stochastic Finite Element Method (SSFEM) has proven successful at forecasting a variety of uncertainties in calculating system responses. This text...
Springer Science+Business Media, Singapore, 2016. — 485 p. — ISBN10: 9811007322. Provides essential guidance to ensure students’ success in mechanics courses Shows students how to apply their fundamental knowledge Includes over 80 calculation exercises with brief solutions for each This book introduces readers to modern computational mechanics based on the finite element...
3th ed. — Cambridge University Press, 2003. — 512 p. — ISBN: 0-521-44505-1. This third edition of the principal text on the finite element method for electrical engineers and electronics specialists presents the method in a mathematically undemanding style, accessible to undergraduates who may be encountering it for the first time. Like the earlier editions, it begins by...
Boca Raton, USA: CRC Press, Taylor & Francis Group, 2018. — 567 p. — ISBN13: 978-1-1380-3017-6. Finite Element Analysis for Engineers introduces FEA as a technique for solving differential equations, and for application to problems in Civil, Mechanical, Aerospace and Biomedical Engineering and Engineering Science & Mechanics. Intended primarily for senior and first-year...
Courier Corporation, 1987. — 704 p. — ISBN: 978-0486411811. This text is geared toward assisting engineering and physical science students in cultivating comprehensive skills in linear static and dynamic finite element methodology. Based on courses taught at Stanford University and the California Institute of Technology, it ranges from fundamental concepts to practical computer...
Boca Raton, USA: CRC Press, Taylor & Francis Group, 2018. — 163 p. — ISBN: 1 1138320730. Finite element analysis has become the most popular technique for studying engineering structures in detail. It is particularly useful whenever the complexity of the geometry or of the loading is such that alternative methods are inappropriate. The finite element method is based on the...
Springer, 2005. — 368 p. This course with 6 lecturers intends to present a systematic survey of recent re search results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for adaptivity, error analysis as well as h- and p-adaptive refinement techniques including meshing and...
Springer, 2014. — 289 p. The field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering. This volume brings together scholars working in this area, each representing a particular theme or direction of current research. Derived from the 2012 Barrett Lectures at the University of...
Springer, 1992. — 115 p. This text considers the problem of the dynamic fluid-structure interaction between a finite elastic structure and the acoustic field in an unbounded fluid-filled exterior domain. The exterior acoustic field is modelled through a boundary integral equation over the structure surface. However, the classical boundary integral equation formulations of this...
Springer, 1979. — 177 p. THESE NOTES SUMMARISE a course on the finite element solution of Elliptic problems, which took place in August 1978, in Bangalore. Sobolev Spaces Abstract Variational Problems and Examples Conforming Finite Element Methods Computation of the Solution of the Approximate Problem Problems with an Incompressibility Constraint Mixed Finite Element Methods...
Springer, 2018. — 165 p. This book offers a brief introduction to the general-purpose finite element program MSC Marc, focusing on providing simple examples, often single-element problems, which can easily be related to the theory that is discussed in finite element lectures. As such, it is an ideal companion book to classical introductory courses on the finite element method. MSC...
Springer, 2016. — 54 p. This work identifies the characteristics of racket design parameters that influence racket performance. It presents the finite element analysis of several designs of badminton rackets and compares them to experimental results for validation. Designing a racket requires a comprehensive understanding of racket performance characteristics. Essentially, racket...
Springer, 1982. — 206 p. This Monograph has two objectives : to analyze a finite element method useful for solving a large class of thin shell problems, and to show in practice how to use this method to simulate an arch dam prob lem. The first objective is developed in Part I. We record the definition of a general thin shell model corresponding to the W.T. KOlTER linear...
Springer, 2008. — 162 p. Franz-Theo Suttmeier describes a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) which is based on a variational formulation of the...
Springer, 2014. — 114 p. This work describes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation. This is done by means of linear approximations on uniform meshes. First, a careful Fourier analysis is constructed, highlighting the coexistence of two Fourier spectral branches or spectral...
Springer, 2017. — 133 p. Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features...
Springer, 2017. — 133 p. Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features...
Wiley, 2018. — 491 p. — ISBN: 978-1-119-38845-6. An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MatLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary...
Учебно-методическое пособие. — Гомель: Белорусский государственный университет транспорта (БелГУТ), 2008. — 61 с. Изложены основы метода конечных элементов применительно к задачам механики деформируемого твердого тела. Описаны основные принципы формирования конечноэлементных моделей. Приведены примеры решения некоторых задач прикладной механики, рассматриваемых в курсе...
Ленинград: Судостроение, 1984. — 240 с. Настоящая книга ставит своей целью осветить вопросы ударного взаимодействия тел и сред, гидроупругости, имеющие исключительное значение для судостроения и других отраслей техники. Особенности применения МКЭ в нестационарных задачах МКЭ в задачах безвихревого течения жидкости Жидкостные конечные и полубесконечные элементы в задачах удара...
3rd. ed. — Boca Raton: CRC Press, 2017. — 627 p. — (Series in Computational and Physical Processes in Mechanics and Thermal Sciences). — ISBN: 978-1498738606. This self-explanatory guide introduces the basic fundamentals of the Finite Element Method in a clear manner using comprehensive examples. Beginning with the concept of one-dimensional heat transfer, the first chapters...
Методические указания. — Нижний Новгород: Нижегородский гос. архитектурно-строительный ун-т (ННГАСУ), 2013. — 17 c. Методические указания предназначены для студентов различных направлений и специальностей, изучающих основы метода конечных элементов. Разобраны задачи на операции с матрицами, интерполирование с использованием функций формы и численное интегрирование функций. Даны...
Boca Raton, USA: CRC Press, Taylor & Francis Group, 2018. — 389 p. — ISBN13: 978-1-1385-0162-1. Finite Element Computations in Mechanics with R: A Problem-Centred Programming Approach provides introductory coverage of the finite element method (FEM) with the R programming language, emphasizing links between theory and implementation of FEM for problems in engineering mechanics....
CRC Press, 2018. — 630 p. — ISBN: 1138576379, 9781138576377, 9781351269988, 1351269984. Unlike most finite element books that cover time dependent processes (IVPs) in a cursory manner, The Finite Element Method for Initial Value Problems: Mathematics and Computations focuses on the mathematical details as well as applications of space-time coupled and space-time decoupled...
Academic Press, 2018. — 504 p. — ISBN: 978-0-12-809952-0. This book strikes a solid balance between more traditional FEA textbooks that focus primarily on theory, and the software specific guidebooks that help teach students and professionals how to use particular FEA software packages without providing the theoretical foundation. In this new textbook, Professor Bi condenses...
6th Edition. — Butterworth-Heinemann, 2018. — 754 p. — ISBN: 978-0-12-811768-2. This book, Sixth Edition, provides a thorough grounding in the mathematical principles behind the Finite Element Analysis technique—an analytical engineering tool originated in the 1960's by the aerospace and nuclear power industries to find usable, approximate solutions to problems with many...
2nd Edition. – Springer International Publishing AG, 2018. — 432 p. — ISBN: 3319751441. This textbook presents finite element methods using exclusively one-dimensional elements. It presents the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understanding of the...
Рига: Знание, 1988. — 284 с. Изложены теории и основные соотношения метода конечных элементов для расчета анизотропных оболочек произвольной геометрии. На базе теории Тимошенко построены конечные элементы пластин, оболочек вращения и оболочек произвольной формы. Рассмотрены задачи статики, динамики и устойчивости оболочек из однородных и композитных материалов. Обсуждены вопросы...
Taylor & Francis Group, LLC, 2016. — 276 p. The core of the book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method. It offers new tools and approaches for modeling and simulation problems with moving fronts. These problems are described by time-dependent convection-reaction-diffusion partial differential...
Wiley, 2018. — 872 p. — ISBN: 978-1-119-10734-7. A comprehensive review of the Finite Element Method (FEM), this book provides the fundamentals together with a wide range of applications in civil, mechanical and aeronautical engineering. It addresses both the theoretical and numerical implementation aspects of the FEM, providing examples in several important topics such as...
World Scientific Publishing Co Pte Ltd, 2003. — 274 p. This book is a collection of the papers from the proceedings of the 1st Asian Workshop on Meshfree Methods held in conjunction with the 2nd International Conference on Structural Stability & Dynamics (ICSSD02) on 16-18 December 2002 in Singapore. It contains 36 articles covering most of the topics in the rapidly developing...
2nd ed. — Oxford University Press, 2015. — 768 p. — ISBN: 0199641757, 9780199641758. The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions of...
Grenoble, France, 2018. — 260 p. Rheolef is a programming environment for finite element method computing. The reader is assumed to be familiar with (i) the C++ programming language and (ii) the finite element method. Rheolef is an attempt to provide such a library in the field of finite element methods for partial differential equations. Rheolef provides both a C++ library and...
М.: Мир, 1981. — 304 с. Книга представит существенный интерес для советских специалистов, поскольку рассматриваемые в ней вопросы не нашли достаточного освещения в отечественной литературе по прикладной математике. Авторы с большим педагогическим мастерством излагают основные понятия и принципы метода конечных элементов, знакомят с важными особенностями использования метода при...
2nd edition. — Springer, 2018. — 135 p. The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are: Weighted residual methods and Galerkin approximations. A model problem for one-dimensional linear elastostatics. Weak formulations in one dimension....
New York: Springer, 2018. — 482 p. This textbook demonstrates the application of the finite element philosophy to the solution of real-world problems and is aimed at graduate level students, but is also suitable for advanced undergraduate students. An essential part of an engineer’s training is the development of the skills necessary to analyse and predict the behaviour of...
Czech Technical University, Praag 2016, 187 p. This publication introduces benchmark cases for validation and verification procedures of structural steel joints. The hierarchy of the system response quantity is prepared for welded and bolted connections as well as for column bases. Each benchmark case starts with task description and includes results of prediction by analytical...
Springer, 1995. — 304 p. — ISBN: 978-90-481-4535-5. Finite element model updating has emerged in the 1990s as a subject of immense importance to the design, construction and maintenance of mechanical systems and civil engineering structures. This book, the first on the subject, sets out to explain the principles of model updating, not only as a research text, but also as a...
Cambridge University Press, 2017. — 216 p. Finite element method (FEM) is a numerical technique for approximation of the solution of partial differential equations. This book on FEM and related simulation tools starts with a brief introduction to Sobolev spaces and elliptic scalar problems and continues with explanation of finite element spaces and estimates for the interpolation...
4th edition. — Hoboken: Wiley, 2001. — 370 p. Designed to serve as an introductory text which presents the finite element technique in a clear, easy-to-understand manner. The emphasis remains on establishing an accessible comprehension of fundamentals to facilitate using the method in research and/or to solve practical, existing problems. Contains a balanced treatment of the...
Finite To Infinite, 2008. — 446 p. —ISBN10: 8190619500; ISBN13: 978-8190619509. Highlights of the book: Discussion about all the fields of Computer Aided Engineering, Finite Element Analysis Sharing of worldwide experience by more than 10 working professionals Emphasis on Practical usuage and minimum mathematics Simple language, more than 1000 colour images International...
Springer, 2018. — 358 p. — ISBN: 978-1-4939-7421-4. This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level engineering mathematics and the mechanics of solids. The book is divided into two distinct parts of nine chapters and seven appendices. The first chapter reviews the energy concepts in...
Springer International Publishing AG, 2018. — 151 p. — (Mathematical Engineering) — ISBN: 3319645277. The book provides a self-contained treatment of stochastic finite element methods. It helps the reader to establish a solid background on stochastic and reliability analysis of structural systems and enables practicing engineers to better manage the concepts of analysis and...
2nd ed. — CRC Press, 2014. — 793 p. Why another book on the finite element method? There are currently more than 200 books in print with "Finite Element Method" in their titles. Many are devoted to special topics or emphasize error analysis and numerical accuracy. Others stick to the fundamentals and do little to describe the development and implementation of algorithms for...
Amsterdam: De Gruyter, 2014. — 230 p. The book is the first systematical treatment of the theory of finite elements in Archimedean vector lattices and contains the results known on this topic up to the year 2013. It joins all important contributions achieved by a series of mathematicians that can only be found in scattered in literature.
Новосибирск : Изд-во НГТУ, 2010. — 68 с. Учебное пособие посвящено обзору современных многомасштабных методов для решения эллиптических задач. Может быть рекомендовано для студентов и аспирантов направления «Прикладная математика».
Acta Numerica, 2013. — 108 p. In this article we consider finite element methods for approximating the solution of partial differential equations on surfaces. We focus on surface finite elements on triangulated surfaces, implicit surface methods using level set descriptions of the surface, unfitted finite element methods and diffuse interface methods. In order to formulate the...
Butterworth-Heinemann, 2017. — 439 p. — ISBN 978-0-12-812981-4. This book provides a hands-on introduction to engineering analysis using one of the most powerful commercial general purposes finite element programs on the market. Students will find a practical and integrated approach that combines finite element theory with best practices for developing, verifying, validating...
John Wiley & Sons, Ltd, 2017. — 239 p. — ISBN: 9781119153030. This book deals with the finite element model that was first applied in solving complex elasticity and structural analysis problems in aeronautical, mechanical and civil engineering. Introduction to Finite Element Model Updating Model Selection in Finite Element Model Updating Bayesian Statistics in Structural...
2nd Edition – Oxford University Press, UK, 2014. — 495 p. — (Numerical Mathematics and Scientific Computation) — ISBN: 0199678804. This book is a description of why and how to do Scientific Computing for fundamental models of fluid flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely available MatLAB codes that implement the methods...
New York: Springer, 2017. — 522 p. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of...
Учебное пособие. — М.: МИСИ им. Куйбышева, 1979. — 75 с. Излагаются основные понятия метода конечных элементов применительно к задачам теплопроводности, упругости и решению систем обыкновенных дифференциальных уравнений, а также основные принципы программирования конечноэлементных задач. Предназначено для студентов факультета ПГС, обучающихся по специальности "Теория...
Ладуга инженерные услуги, 190 с. Инструкции по модуле GEOM Salome, созданный компанёй ЛАДУГА. Год издания неизвестный. Язык русский. Геометрический модуль SALOME разработан для: - Импортирования и экспортирования геометрических моделей в форматах IGES, BREP и STEP - Построения и оптимизации геометрических моделей, используя широкий набор функций автоматизированного...
Australia: Moonish Ent. Pty. Ltd, 2014. — 260 p. This book is written for those who have a passion for learning Open Source software, particularly CAD and FEA software. This book is written for those who are new to software like Salome and Code Aster. If you are having trouble understanding where to start with Salome and Code Aster, this book is written for you. If you are having...
3rd Edition. — Springer International Publishing AG, 2017. — 541 p. — (Scientific Computation) — ISBN: 3319578456. This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows....
Методическое пособие. — Ижевск: Удмуртский университет, 2011. — 44 с. Методическое пособие предназначено магистрам первого курса математического факультета по направлению "Прикладная математика и информатика", изучающим годовой курс "Проекционно-сеточные методы". Теоретическая часть пособия охватывает разделы курса, читаемые в первом семестре, содержит примеры постановок задач и...
New York: Springer, 2014. - 416 p. This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations. Traditionally,...
Morgan & Claypool Publ., 2017. — 269 p. — (Synthesis Lectures on Mechanical Engineering 1) — ISBN10: 1627058702. Finite element analysis is a basic foundational topic that all engineering majors need to understand in order for them to be productive engineering analysts for a variety of industries. This book provides an introductory treatment of finite element analysis with an...
Springer Basel AG, 2004. — 574 p. — (Operator Theory: Advances and Applications 151) — ISBN: 303489595X. Boundary problems constitute an essential field of common mathematical interest. The intention of this volume is to highlight several analytic and geometric aspects of boundary problems with special emphasis on their interplay. It includes surveys on classical topics...
Academic Press, 1989. — 273 p. In this book, the author examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated,...
Учебник. — Новосибирск: НГТУ, 2010. — 238 с. — (Учебники НГТУ). — ISBN: 978-5-7782-1287-9. Современные пакеты прикладных программ, основанные на МКЭ (NASTRAN, Ansys, COSMOS/M), реализуют технологию этого метода для расчета на прочность, устойчивость и колебания любых конструкций, решения задач аэро-, гидро- и электродинамики. Квалифицированное применение подобных пакетов...
CRC Press, 2017. — 343 p. This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques...
Springer, 1992. — 187 p. Professor Sluzalec is a well-known and respected authority in the field of Computational Mechanics, and his personal experience forms the basis of the book. Introduction to Nonlinear Thermomechanics provides both an elementary and advanced exposition of nonlinear thermomechanics. The scope includes theoretical aspects and their rational application in...
Springer, 1981. — 167 p. In structure mechanics analysis, finite element methods are now well established and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes approximating mathematically wellposed...
Prentice-Hall of India Pvt.Ltd, 2012. — 340 p. Designed for a one semester course in finite element method, this compact and well organized text presents FEM as a tool to find approximate solutions to differential equations.
University of Colorado, 2000. — 306 p. Element Stiffness Matrix Stiffness Method; Part I: Orthogonal Structures Transformation Matrices Stiffness Method; Part II Equations Of Statics And Kinematics Flexibility Method Special Analysis Procedures Review Of Elasticity Variational And Energy Methods Interpolation Functions Finite Element Formulation Some Finite Elements Dynamic...
2015. — 197 p. "If you haven’t been hiding under a stone during your studies of Engineering, Mathematics or Physics, it is very likely that you have already heard about the Finite Element Method. Maybe you even know some theoretical and practical aspects and have played a bit with FEM software. What you are going to find here is a detailed and mathematically biased introduction...
University of Colorado, 2001. — 334 p. Prerequisite Fundamental Relations Mesh Generation Variational And Rayleigh-Ritz Methods Interpolation Functions; Natural Coordinate Systems Finite Element Discretization And Requirements Straight Sided Elements; 1st Generation Isoparametric Elements; 2nd Generation Element Formulation And Strain Recovery In Hw Formulation Weighted...
Springer, 1991. — 227 p. Finite Element Programs for Structural Vibrations presents detailed descriptions of how to use six computer programs (written in Fortran 77) to determine the resonant frequencies of one, two, and three-dimensional skeletal structures through the finite element method. Chapter 1 is on "The Finite Element Method" and Chapter 2 demonstrates, with the aid of...
Albion, 1996. — 217 p. This advanced undergraduate and postgraduate text serves for courses in many engineering disciplines and professionals in industrial or academic research. It is written in a step-by-step methodological approach so that readers can acquire knowledge, either through formal engineering courses or by self-study. Also useful for industrial engineers as a...
Albion, 1996. — 637 p. Bridging the gap between theoretical texts and the massive and expensive software packages, this handbook covers finite element programming in a wide range of problems in mechanical, civil, aeronautical and electrical engineering. Comprehensive, it ranges from the static analysis of two- and three-dimensional structures to stress analysis of thick slabs on...
Horwood, 1998. — 480 p. This book is aimed at senior undergraduates, graduates and engineers. It fills the gap between the numerous textbooks on traditional Applied Mechanics and postgraduate books on Finite Element Methods. Key Features Fills the gap between the applied mechanics and finite element methods Discusses basic structural concepts and energy theorems, the discrete...
Springer, 1992. — 286 p. State-of-the-art nonlinear computational analysis of shells, nonlinearities due to large deformations and nonlinear material behavior, alternative shell element formulations, algorithms and implementational aspects, composite and sandwich shells, local and global instabilities, optimization of shell structures and concepts of shape finding methods of free...
Academic Press, 2015. — 501 p. Fundamental coverage, analytic mathematics, and up-to-date software applications are hard to find in a single text on the finite element method (FEM). Dimitrios Pavlou’s Essentials of the Finite Element Method: For Structural and Mechanical Engineers makes the search easier by providing a comprehensive but concise text for those new to FEM, or...
Springer, 2003. — 342 p. This book is an essential tool written to be used as the primary text for an undergraduate or early postgraduate course as well as a reference book for engineers and scientists who want to quickly develop finite-element programs. Regarding the formulation of the finite element method, the book emphasizes the essential unity of all processes of...
Prentice Hall, 1992. — 432 p. Providing a systematic approach and simple introduction ot the finite element method, this self-contained book will enable the reader to obtain a clear understanding of the concepts involved in this traditionally complicated methodology.
Springer, 2013. — 407 p. This textbook presents finite element methods using exclusively one-dimensional elements. The aim is to present the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understanding of the principles of basic and advanced mechanical problems. The...
Academic Press, 1973. — 336 p. The Finite Element Method: Fundamentals and Applications demonstrates the generality of the finite element method by providing a unified treatment of fundamentals and a broad coverage of applications. Topics covered include field problems and their approximate solutions; the variational method based on the Hilbert space; and the Ritz finite element...
McGraw-Hill, 1996. — 294 p. Increasing use is being made of commercial software to demonstrate the applications of finite element theory to mechanical or structural design. This book is aimed at those who are new to using commercially available finite element software for mechanical or structural design and those who are contemplating using this software. It emphasizes the...
London: Academic Press, 1987. — 224 p. The finite element method is now widely used in many areas of applied mathematics, physics and engineering. The method enables numerical solutions to be calculated for such problems as those involving electrostatic and electromagnetic fields, ideal flow in hydro- and aerodynamics, diffusion processes, temperature distributions and strains...
Prentice Hall, 1992. — 344 p. This text treats the fundamental principles of the method in a simple, logical manner, placing the emphasis on the practical applications of the method in those areas where it is most commonly used, and so enabling the student to develop a sound understanding of the subject. Using simple, understandable mathematics, backed up by practical modelling...
Marcel Dekker, 1993. — 547 p. In this work, MacNeal examines why finite elements sometimes fail and how element designers have corrected their failures. It includes quantitative analyses of failure modes and illustrations of possible side effects found in proposed remedies, providing a practical understanding of finite element performance. The book is designed to enable users and...
Springer, 2013. — 380 p. This volume on some recent aspects of finite element methods and their applications is dedicated to Ulrich Langer and Arnd Meyer on the occasion of their 60th birthdays in 2012. Their work combines the numerical analysis of finite element algorithms, their efficient implementation on state of the art hardware architectures, and the collaboration with...
Birkhauser, 2004. — 460 p. Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and...
Cambridge University Press, 1986. — 418 p. This is a textbook written for mechanical engineering students at first-year graduate level. As such, it emphasizes the development of finite element methods used in applied mechanics. The book starts with fundamental formulations of heat conduction and linear elasticity and derives the weak form (i.e. the principle of virtual work in...
Springer, 1994. — 204 p. This text presents an introduction to the application of the finite element method to the analysis of heat transfer problems. The discussion has been limited to diffusion and convection type of heat transfer in solids and fluids. The main motivation of writing this book stems from two facts. Firstly, we have not come across any other text which provides an...
Springer, 1986. — 407 p. The rapid advances in the nuclear and aerospace technologies in the past two decades compounded with the increasing demands for high performance, energy-efficient power plant components and engines have made reliable thermal stress analysis a critical factor in the design and operation of such equipment. Recently, and as experienced by the author, the need...
2nd ed. — AIAA, 2003. — 439 p. This addresses the challenges and developments in multidisciplinary analysis. Current developments include disciplines of structural mechanics, heat transfer, fluid mechanics, controls engineering and propulsion technology, and their interaction as encountered in many practical problems in aeronautical, aerospace, and mechanical engineering, among...
Thomas Telford Ltd, 1999. — 423 p. The book provides a basic and clear introduction to the principles underlying finite elements and the computer based methods of the analysis of structures commonly used in industry. There can be a danger that, without such an understanding, engineers will use these computer based analysis tools as black boxes and accept results without being...
University of Colorado, 2001. — 489 p. This textbook presents an Introduction to the computer-based simulation of linear structures by the Finite Element Method (FEM). It assembles the “converged” lecture notes of Introduction to Finite Element Methods or IFEM. This is a core graduate course offered in the Department of Aerospace Engineering Sciences of the University of Colorado...
Prentice Hall, 1992. — 344 p. This text treats the fundamental principles of the method in a simple, logical manner, placing the emphasis on the practical applications of the method in those areas where it is most commonly used, and so enabling the student to develop a sound understanding of the subject. Using simple, understandable mathematics, backed up by practical modelling...
Maney, 2001. — 187 p. Provides an introductory text which lays out the basic theory of the finite element method in a form that will be comprehensible to engineering and materials science students Although this book was written with materials scientists in mind, it will prove useful to all those interested in learning the fundamentals of the finite element method. The method is...
Butterworth-Heinemann, 2014. — 682 p. In recent years, bridge engineers and researchers are increasingly turning to the finite element method for the design of Steel and Steel-Concrete Composite Bridges. However, the complexity of the method has made the transition slow. Based on twenty years of experience, Finite Element Analysis and Design of Steel and Steel-Concrete Composite...
Momentum Press, 2015. — 220 p. This book presents a straightforward introduction to the finite element method, error analysis, and adaptive refinement. It provides an easy-to-read overview that allows the contents of other finite element books and finite element courses to be seen in perspective as the various procedures are encountered. Furthermore, it provides developments that...
Van Nostrand Reinhold, 1971. — в наличии только первые 323 страницы из 477 . This text therefore is designed to prepare undergraduates and practicing engineers with bachelors degrees both to solve their specific problems and to read further in the current finite element literature. It is assumed that the reader has some background in the diverse mathematical fields associated with...
Springer, 1998. — 424 p. This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.
Springer, 1990. — 264 p. The variational approach, including the direct methods and finite elements, is one of the main tools of engineering analysis. However, it is difficult to appreciate not only for seniors but for graduate students too. It is possible to make this subject easier to understand with the help of symbolic manipulation codes (SMC). The easiness with which these...
Prentice Hall, 1976. — 544 p. "... The primary aim in the writing of this book is to provide a tool for teaching upper-level undergraduate and graduate courses in engineering. Although the topic is finite element analysis procedures, many of the numerical techniques are quite general and could be employed effectively in any discrete method of analysis. In addition, a large...
Springer, 2004. — 530 p. — (Applied Mathematical Sciences 159). This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications...
1999. — 613 p. Element Stiffness Matrix Stiffness Method; Part I: Orthogonal Structures Transformation Matrices Stiffness Method; Part II Equations Of statics And Kinematics Flexibility Method Review Of Elasticity Variational And Energy Methods Interpolation Functions Finite Element Formulation Some Finite Elements Geometric Nonlinearity Review Of Matrix Algebra Solutions Of...
2nd ed. — CRC Press, 2006. — 324 p. This much-anticipated second edition introduces the fundamentals of the finite element method featuring clear-cut examples and an applications-oriented approach. Using the transport equation for heat transfer as the foundation for the governing equations, this new edition demonstrates the versatility of the method for a wide range of...
Thomas Telford Publishing, 2010. — 414 p. Structural Analysis with Finite Elements reveals the theory behind the finite element (FE) method as it relates to structural engineering and explains how to overcome commonly encountered problems and errors found in everyday structural modelling with finite element software.
Palgrave, 1996. — 217 p. The finite element method is popular among engineers and scientists as a numerical technique for solving practical problems. At the same time, the links with classical variational methods make the technique of interest to mathematicians. This book introduces the main concepts of the finite element method in a simple and carefully paced manner, using...
3rd ed. — Prentice Hall, 2002. — 453 p. "... The underlying philosophy of the book is to provide a clear presentation of theory, modeling, and implementation into computer programs. The pedagogy of earlier editions has been retained in this edition. New material has been introduced in several chapters. Worked examples and exercise problems have been added to supplement the...
Springer, 2017. — 289 p. This book addresses the solution of rotating beam free-vibration problems using the finite element method. It provides an introduction to the governing equation of a rotating beam, before outlining the solution procedures using Rayleigh-Ritz, Galerkin and finite element methods. The possibility of improving the convergence of finite element methods through...
5th Edition. — Butterworth-Heinemann, 2000. — 479 p. The first volume of this edition covered basic aspects of finite element approximation in the context of linear problems. Typical examples of two- and three-dimensional elasticity, heat conduction and electromagnetic problems in a steady state and transient state were dealt with and a finite element computer program structure...
Springer, 1997. — 308 p. This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error...
2nd edition. — Springer, 2006. — 376 p. This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is...
4th ed. — John Wiley & Sons Ltd, 2004. — 648 p. The theme of the successful earlier editions has been maintained. A modular programming style, now expressed in Fortran95, facilitates both the consolidation of previous programs into easier-o-use units, and the very important advance into parallel computing environments. Chapter 1 has been extended by a description of the...
4th ed. — Elsevier Inc, 2004. — 685 p. The objective of this book is to introduce the various aspects of finite element method as applied to engineering problems in a systematic manner. It is attempted to give details of development of each of the techniques and ideas from basic principles. New concepts are illustrated with simple examples wherever possible. Several Fortran...
Dover Publications, 1976. — 448 p. This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations.
Berlin: Springer, 2001. — 113 p. This book presents recent research on damage mechanics with finite elements. Particular emphasis is laid on programming the finite element method to incorporate applications of damage mechanics. This textbook for graduates and researchers in civil, mechanical, aerospace engineering and materials science deals with the practical applications of...
Society for Industrial & Applied Mathematics, 2006. — 363 p. — ISBN10: 0898716144. The finite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. Understanding and Implementing the Finite Element Method is essential reading for those interested in understanding both the theory and the implementation...
Springer, 2005. — 424 p. — ISBN10: 3540240780. Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their...
2nd Edition. — Wiley, 2014. — 830 p. This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes...
Kluwer Academic Publishers, 2002. — 397 p. — (Fundamental Theories of Physics) — ISBN: 1402009682. The second aspect has a purely mathematical nature. It is related to the form of factorization (i.e., mathematical description) of hier- chical types of dynamic models, and discussion of the methods of their mathematical analysis. A set of the hierarchical asymptotic analytical–...
Kluwer Academic Publishers, 2002. — 385 p. — ISBN: 0306480611. Everybody is current in a world surrounded by computer. Computers determine our professional activity and penetrate increasingly deeper into our everyday life. Therein we also need increasingly refined computer technology. Sometimes we think that the next generation of computer will satisfy all our dreams, giving us...
Oxford University Press, 2005. — 413 p. The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The material is organized into four groups of two chapters each, covering the Poisson equation (chapters 1 & 2); the convection-diffucion equation (chapters 3 & 4); the Stokes equations (chapters...
Springer, 2017. — 344 p. — ISBN: 978-3-319-47667-4 This book offers an in-depth insight into the general-purpose finite element program MSC Marc, which is distributed by MSC Software Corporation. It is a specialized program for nonlinear problems (implicit solver) which is common in academia and industry. The primary goal of this book is to provide a comprehensive introduction...
Wiley, 2017. — 421 p. — ISBN: 9781118934548. This book not only provides the theoretical formulation of fundamental problems of mechanics of plates and shells, but also several examples of analytical and numerical solutions for different types of shell structures. The book contains advanced aspects related to stability analysis and a brief description of modern finite element...
Springer International Publishing AG, 2017. — 236 p. — (Mathematical Engineering) — ISBN: 331949970X This book has evolved from courses on the finite element method that have been taught as part of several graduate programmes at the University of Oxford. These courses have all focused on the practical application of the finite element method. A typical course would begin with a...
Springer, 2012. — 391 p.
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and...
Research Report No. 96-20, October 1996. Seminar fur Angewandte Mathematik Eidgenossische Technische Hochschule CH-8092, Zurich Switzerland. We consider the numerical approximation of boundary layer phenomena occuring in many singularly perturbed problems in mechanics such as plate and shell problems. We present guidelines for the effective resolution of such layers in the context...
Springer, 2005. — 450 p. The purpose of this text is to offer a comprehensive and self-contained presentation of some of the most successful and popular domain decomposition methods for partial differential equations. Strong emphasis is put on both a-gorithmic and mathematical aspects. In addition, we have wished to present a number of methods that have not been treated...
ENS CACHAN, 2013. — 162 p.
This M1 level course is an introduction to mathematical and numerical modeling of transport problems and is based on the Openfem ++ programming environment for fast digital resolution. It is aimed at students interested in the numerical discretization of systems of partial differential equations, in particular hyperbolic or parabolic equations with...
John Wiley & Sons Ltd, 2004. — 355 p. — ISBN: 0-470-85752-8. The only prerequisite for reading this book is a profound mathematical background in tensor analysis, matrix algebra and vector calculus. The book is largely self-contained, and all other knowledge is introduced within the text. It is oriented toward graduate students working in the finite element field, enabling them...
ExLi4EvA, 2016. — 273 p. — ISBN: 9535128205 This book presents a current research by highlighting the vitality and potential of the finite elements for the future development of more efficient numerical techniques, new areas of application, and FEA's important role in practical engineering. The finite element method (FEM) is a numerical technique for finding approximate...
ISTE Ltd and John Wiley & Sons, Inc., 2012. — 612 p. — (Numerical Methods Series) — ISBN: 1848213689 This book offers an in-depth presentation of the finite element method, aimed at engineers, students and researchers in applied sciences. The description of the method is presented in such a way as to be usable in any domain of application. The level of mathematical expertise...
Перевод классического обзора: O.C. Zenkiewicz, The finite element method: From intuition to generality, Applied mechanics Reviews, 3, 249-256, 1970.
Перевод был помещен в: Механика: Периодический сборник переводов иностранных статей, №6 (124), 1970, стр.90-103.
Ценна большая библиография оригинальных работ.
Учебное пособие. — Казань: КГУ, 2004. — 239 с. Излагаются основные способы построения и исследования схем метода конечных элементов приближенного решения краевых задач для линейных эллиптических уравнений второго и четвертого порядков. Книга рассчитана на студентов старших курсов и аспирантов, специализирующихся в области методов численного решения задач математической физики,...
Учебное пособие. — Казань: Казанский гос. университет, 2010. — 71 с. В пособии излагаются основные этапы построения и программной реализации схем метода конечных элементов приближенного решения краевых задач для линейных эллиптических уравнений второго порядка. Пособие рассчитано па студентов старших курсов и аспирантов, специализирующихся в области методов численного решения...
Course Notes, автор неизвестен, выходные данные неизвестны. - 197 p. Nodes Individual Elements Element Grouping Element Constitutive Properties Element Fabrication Properties Freedom Assignment Nodal State Global Connectivity Pre-Skyline Processing Symmetric Skyline Solver Skyline Assembly The Master Element Library Implementation of One-Dimensional Elements
North Holland, 1984. — 371 p.
The 7th UFEM gathering, like its predecessors, advances further toward its goal of accomplishing “a unified method” in computational mechanics. No matter how powerful a methodology might be for a certain class of problems, it often presents shortcomings for others. Since engineering problems today are very complex and contain subregions with...
Elsevier Science B.V., 1996. — 119 p.
A large range of physical phenomena can be formalized in terms of partial differential equations and thus can be solved numerically using the finite element method.
This method was first conceived and used by engineers in the early fifties, in particular for problems with a structural mechanic nature. Due to the constant improvement of...
Marcel Dekker, 1989. — 358 p.
Step-by-step guidance through the stages of problem definition, modeling, and solution. Presents six example problems, as well as nine industry-standard benchmark problems. Covers dynamic and thermal analysis, substructuring, and linear statics, and discusses how to calibrate the accuracy of finite.
Cambridge University Press, 1991. — 323 p. Finite Element Plasticity and Metalforming Analysis is specifically devoted to the finite element method and its use in plasticity problems. It details the theoretical background, assuming little previous knowledge, and how it can be used to examine realistic metalforming processes. Forging, rolling and extrusion are typical processes...
М.: Мир, 1976. — 96 с. В книге даётся математическое обоснование метода конечных элементов, получившего в последние годы широкое распространение. Основное внимание уделяется строгой математической формулировке вопросов. Даётся вариационная формулировка задач с краевыми условиями, рассматривается применение метода к численному решению уравнений в частных производных; изложенный...
Учебное пособие. — Пер. с англ. В.М. Картвелишвили. — Под ред. Н.В. Баничука. — М.: Мир, 1984. — 428 с. Книга написана крупным американским ученым, одним из разработчиков известного метода конечных элементов. В ней глубокой всесторонне рассмотрены вопросы применения метода конечных элементов и вариационного подхода к задачам теории упругости. Изложение начинается с простейших...
Цикл научных статей в журнале "Вестник МГСУ". - М.: МГСУ, 2014-2015. - (Часть 1 - 2014, № 11, с. 37-57; часть 2 - 2014, № 12, с. 40-59; часть 3 - 2015, № 1, с. 16-26). Предложена классификация формулировок метода конечных элементов (МКЭ), позволяющая ориентироваться в огромном количестве опубликованных и продолжающих публиковаться работ по проблеме повышения эффективности этого...
Монография. — Перевод с английского. — М.: Мир, 1975. — 543 с. Монография посвящена изложению основ метода конечных элементов - одного из наиболее эффективных современных методов численного решения инженерных, физических и математических задач с применением вычислительных машин. В книге рассмотрены основные принципы метода конечных элементов и их приложение к задачам теории...
Л.: ЛИСИ, 1978. — 85 с. Учебное пособие для слушателей ФПК и студентов строительных специальностей вузов. Учебное пособие предназначено для студентов строительных и автодорожных вузов и факультетов, изучающих курс "Строительная механика", и для слушателей факультета повышения квалификации по строительной механике и строительным конструкциям. В отличие от учебного пособия (10) того...
М.: Недра, 1974. — 240 с.
В книге описан метод конечных элементов применительно к расчету инженерных конструкций и задачам механики сплошной среды. Сформулированы вариационные принципы и энергетический подход для вывода зависимостей метода, а также предложены критерии сходимости решения и границы применения метода. Приведен материал об использовании метода конечных элементов...
Academic Press, 1975. — 346 p. The basis functions described in this book are rational in two senses. They are rational functions (ratios of polynomials), and they are constructed from geometric properties of the elements in a rational (logical) manner. The word basis also has a dual meaning. Besides providing a function basis for polynomial approximation over elements, the...
Morgan and Claypool Publishers, 2006. — 156 p.
This book provides a brief overview of the popular Finite Element Method (FEM) and its hybrid versions for electromagnetics with applications to radar scattering, antennas and arrays, guided structures, microwave components, frequency selective surfaces, periodic media, and RF materials characterizations and related topics. It...
Chapman and Hall/CRC , 2006. — 395 p.
While the theory and application of finite elements methods can be extended to incompatible, hybrid, and mixed element methods, important issues, such as determining the reliability of the solution of incompatible multivariable elements, along with a common perception of impracticality, have hindered the widespread implementation of these...
Academic Press, 1989. — 273 p.
In this book, the author examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are...
М.: Стройиздат, 1982. — 448 с. Излагаются численные методы анализа, применяемые при решении задач строительной механики методом конечных элементов и получившие развитие в связи с широким использованием ЭВМ в практике расчетов. Рассмотрены основные теории матриц и линейной алгебры, основные принципы метода конечных элементов. Значительное внимание уделено методам решения систем...
Wiley, 2000. — 1023 p.
This comprehensive two-volume reference covers the application of the finite element method to incompressible flows in fluid mechanics, addressing the theoretical background and the development of appropriate numerical methods applied to their solution.
Volume One provides extensive coverage of the prototypical fluid mechanics equation: the...
Springer, 1995. — 185 p.
This book is essentially a set of lecture notes from a graduate seminar given at Cornell in Spring 1994. It treats basic mathematical theory for superconvergence in the context of second order elliptic problems. It is aimed at graduate students and researchers. The necessary technical tools are developed in the text although sometimes long proofs are...
Springer, 1977. — 366 p. The contents of this book are based on lectures given at the Meeting on Mathematical Aspects of Finite Element Methods , held in Rome, December 10-12 1975, at the "Consiglio Nazionale delle Ricerche" (C.N.R.) organized by the Istituto per Ze Applicazioni del Calcolo "Mauro Picone" and Laboratorio di Analisi Numerica. The subject of this meeting is of...
Springer, 2006. — 744 p.
This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. The fluid dynamics equations are derived from basic thermo-mechanical principles and the multi-dimensional and infinite-directional upstream procedure is developed by combining a finite element discretization...
CRC Press , 1996. — 304 p.
This book provides researchers at the forefront of nonlinear optical technologies with robust procedures and software for the investigation of the fundamental phenomena in nonlinear optical waveguide structures. A full vectorial electromagnetic formulation is adopted and the condition under which simplification to a scalar formulation is possible are...
Springer, 1979. — 207 p. The contents of this publication have been taught at the University Pierre & Marie Curie as a graduate course in numerical analysis during the academic year 1977-78. In the last few years, many engineers and mathematicians have concentrated their efforts on the numerical solution of the Navier-Stokes equations by finite element methods. The purpose of...
Springer, 2007. — 434 p.
Domain decomposition is an active, interdisciplinary research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. Since the advent of hierarchical distributed memory computers, it has been motivated by considerations of...
Springer, 2005. — 453 p.
The scope of this text is to offer a comprehensive and self-sufficient presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. Strong emphasis is put both on their algorithmic and mathematical aspects. Some important methods that are...
Springer, 2008. — 396 p.
Although the aim of this book is to give a unified introduction into finite and boundary element methods, the main focus is on the numerical analysis of boundary integral and boundary element methods.
Starting from the variational formulation of elliptic boundary value problems boundary integral operators and associated boundary integral equations are...
Prentice Hall, 1981. — 272 p.
Our purpose in writing this book is to provide the undergraduate student of engineering and science with a concise introduction to finite element methods — one that will give a reader, equipped with little more than calculus, some matrix algebra, and ordinary differential equations, a clear idea of what the finite element method is, how it works,...
Cambridge University Press, 2009. — 255 p.
The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged, as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the boundary can now be solved on desktop...
University of Colorado, 2004. — 659 p.
This book covers advanced techniques for the analysis of linear elastic structures by the Finite Element Method (FEM). It has been constructed from Notes prepared for the course Advanced to Finite Element Methods or AFEM. This course has been taught at the Department of Aerospace Engineering Sciences, University of Colorado at Boulder...
Academic Press, 1972. — 809 p. The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus. This symposium relates considerable numerical analysis involved in research in both theoretical and...
CRC Press , 1998. — 368 p.
Based on the proceedings of the first conference on superconvergence held recently at the University of Jyväskylä, Finland, this unique resource presents reviewed papers focusing on superconvergence phenomena in the finite element method. Keeping abreast of this rapidly developing field of research, Finite Element Methods surveys for the first time...
Springer, 2007. — 223 p.
Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial differential equations. Thus the eficient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together...
Springer, 2002. — 283 p.
Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these...
Technical University of Denmark, 1993. — 203 p.
This thesis is concerned with the numerical solution of the steady state wave equation - Helmholtz equation - exterior to one or several bodies positioned in free space. The current work may without complications be applied to interior problems and problems concerning other fluids in which Helmholtz equation is valid. The...
Springer, 2006. — 382 p.
This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error...
Chapman and Hall/CRC , 2004. — 388 p.
The finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, particularly in higher-order hp-adaptive schemes. These techniques respond well to the increasing complexity of engineering simulations...
Springer, 2013. — 691 p.
Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and...
М.: Мир, 1979. — 392 с. Книга представляет собой руководство по широко используемому в настоящее время методу конечных элементов, позволяющему получать численные решения инженерных, физических и математических задач. Детальное обсуждение основных идей метода сопровождается примерами, иллюстрирующими технику его применения. Приводится большое число простых программ, написанных...
Казань: КФУ, 2014. — 106 с.
Излагаются основные этапы построения и программной реализации схем метода конечных элементов приближенного решения краевых задач для одномерных и двумерных линейных уравнений в частных производных второго порядка. Пособие рассчитано на студентов старших курсов и аспирантов, специализирующихся в области численных методов решения краевых задач...
М.: Мир, 1981. — 216 с. Предлагаемая книга посвящена методу конечных элементов и отличается от других книг по этой тематике простотой и компактностью изложения, широтой охвата материала и методичностью изложения. В книге даются анализ различных вариантов метода и многочисленные примеры его применения к конкретным задачам. Приведено свыше ста упражнений различной степени...
Перевод с английского В. И. Агошкова, В. А. Василенко, В. В. Шайдурова. — Под ред. Г. И. Марчука. — М. : Мир, 1977. — 351 с. Метод конечных элементов получил широкое распространение как один из самых эффективных методов решения краевых задач математической физики. В монографии известных американских специалистов излагаются теоретические основы метода конечных элементов —...
Самара: Изд-во Самар. гос. аэрокосм. ун-та, 2013. — 80 с.
Изложены основные сведения о численных методах. Рассмотрены основные задачи математической физики и аналитические способы их решения. Изложены основы метода конечных разностей. При анализе основных особенностей численных методов особое внимание уделено использованию аппроксимации базисными функциями при решении...
Springer, 2008. — 589 p. Among numerical methods applied in acoustics, the Finite Element Method (FEM) is normally favored for interior problems whereas the Boundary Element Method (BEM) is quite popular for exterior ones. That is why this valuable reference provides a complete survey of methods for computational acoustics, namely FEM and BEM. It demonstrates that both methods...
Казань: КФУ, 2014. — 106 с.
Излагаются основные этапы построения и программной реализации схем метода конечных элементов приближенного решения краевых задач для одномерных и двумерных линейных уравнений в частных производных второго порядка. Пособие рассчитано на студентов старших курсов и аспирантов, специализирующихся в области численных методов решения краевых задач...
Казань: КГУ, 2010. — 94 с.
В пособии излагается метод Галеркина с возмущениями для самосопряженных задач на собственные значения в вещественном гильбертовом пространстве.Рассмотрено применение этого метода для решения задачи о поверхностных собственных волнах цилиндрических диэлектрических волноводов.
Пособие рассчитано на студентов старших курсов и аспирантов,...
Методические указания. — Самара: Самарский гос. аэрокосмический ун- им. С. П. Королёва (СГАУ), 2013. — 20 с. Представлено описание алгоритма выполнения расчётной работы по дисциплине «Основы метода конечных элементов» с расчётным примером, основанным на системе из двух плоских трёхузловых конечных элементов. Рассмотрены все основные этапы работы, включая выдачу задания,...
Учебное пособие. — М.: Московский государственный университет (МГУ) имени М.В. Ломоносова, 2010 — 264 с. Учебное пособие посвящено изложению основных концепций метода конечных элементов (МКЭ). Этот метод завоевал всеобщее признание как весьма эффективный метод решения самых разнообразных задач механики, математической физики и техники. В данном пособии МКЭ трактуется как...
2nd edition. — Australia: Moonish Ent. Pty. Ltd, 2014. — 354 p. This book is written for those who have a passion for learning Open Source software, particularly CAD and FEA software. This book is written for those who are new to software like Salome and Code Aster. If you are having trouble understanding where to start with Salome and Code Aster, this book is written for you. If...
Учебное пособие для студентов авиационных специальностей вузов. — М.: Высшая школа, 1985. — 392 с.
В книге изложены общие принципы метода конечных элементов в перемещениях, его связь с вариационными принципами механики. Рассмотрены вопросы сходимости конечноэлементного решения, способы построения матриц жесткости и матриц масс типовых конечных элементов, схемы конечноэлементной...
М.: Физматлит, 2006. — 392 с.
Книга посвящена проблеме построения конечно-элементных моделей оболочек малой и средней толщины. Структурно книга состоит из трех разделов. Первый раздел содержит анализ различных подходов построения конечных элементов тонких непологих оболочек с точки зрения выполнения требования сходимости (совместность, представлений смещений как твердого целого...
FreeFEM is a partial differential equation solver for non-linear multi-physics systems in 2D and 3D. Problems involving partial differential equations from several branches of physics, such as fluid-structure interactions, require interpolations of data on several meshes and their manipulation within one program. FreeFEM includes a fast interpolation algorithm and a language...
Статья. — AIAA Journal (Журнал Американского Института Аэронавтики и Астронавтики), USA, Vol.8, No.7, July 1970, p.p.1252-1255.
Оригинал на английском языке известной статьи Жюля Кэнтина, посвящённой построению хорошо обусловленнной матрицы жёсткости конечного элемента криволинейного очертания при учёте смещения тела как жёсткого целого. Предложенный метод применим к любым...
2nd Edition. – ITexLi (ExLi4EvA), 2016. – 408 p. – ISBN: 95351076909 This book reports on the state of the art research and development findings on this very broad matter through original and innovative research studies exhibiting various investigation directions of Finite Element Method (FEM) in electrical, civil, materials and biomedical engineering. The text is addressed not...
CISM International Centre for Mechanical, Sciences,Springer, 2016. – 239 p. – ISBN10: 331931923X The book presents an overview of the state of research of advanced finite element technologies. Besides the mathematical analysis, the finite element development and their engineering applications are shown to the reader. The authors give a survey of the methods and technologies...
Статья. Опубликована в Инженерно-строительном журнале — 2013. — №9 — С. 64-68
В работе построена методика численного исследования упругопластических тел с учетом конечных деформаций. Определяющие соотношения получены с использованием упругого потенциала в рамках теории пластического течения. Приводится решение тестовой задачи.
Framasoft, 2013. — 379 p. — ISBN: 979-10-92674-03-3. Foreword. Begginind with. Drawing and meshing a simple frame. Creating the command file. Solving in Salome-Meca. Understanding some details. Adding end release to the top bar. Making an highway sign. Stiffening it with rods. Replacing rods, by cables, first step in non-linear. Cycling on a cable. Going soli, with contact, a...
Springer Science+Business Media, Singapore, 2016. – 496 p. – ISBN10: 9811007322 Provides essential guidance to ensure students’ success in mechanics courses Shows students how to apply their fundamental knowledge Includes over 80 calculation exercises with brief solutions for each This book introduces readers to modern computational mechanics based on the finite element method....
2nd Edition. — Springer, 2007. — 604 p. — ISBN10: 3-540-49698- X; ISBN13: 978-3-540-49698-4. Additional sections: The Dirac energy How to predict changes The influence of a single element Retrofitting structures Generalized finite element methods (X-FEM) Cables Hierarchical elements Sensitivity analysis Weak form of influence functions What are finite elements? What are...
Курс лекций. — Санкт-Петербург: Балтийский государственный технический университет "Военмех" им. Д.Ф. Устинова (БГТУ), 2015. — 90 с. В курсе лекций особое внимание уделено основным понятиям о методе конечных элементов (МКЭ), алгоритму выполняемых операций и практическим действиям по применению МКЭ к решению прочностных задач. Курс лекций предназначен для студентов технических...
Учебное пособие. — Санкт-Петербург: Балтийский государственный технический университет (БГТУ) имени Д.Ф. Устинова "Военмех", 2015. — 90 с. В курсе лекций особое внимание уделено основным понятиям о методе конечных элементов (МКЭ), алгоритму выполняемых операций и практическим действиям по применению МКЭ к решению прочностных задач. Курс лекций предназначен для студентов...
Wiley, 2002. — 480 p. — ISBN: 978-0-471-38152-5
State-of-the-art coverage of modern computational methods for the analysis and design of beams
Analysis and Design of Elastic Beams presents computer models and applications related to thin-walled beams such as those used in mechanical and aerospace designs, where thin, lightweight structures with high strength are needed. This...
ISTE Ltd., 2015. — 430 p. — ISBN: 1848219148. This book is issued from a 30 years' experience on the presentation of variational methods to successive generations of students and researchers in Engineering. It gives a comprehensive, pedagogical and engineer-oriented presentation of the foundations of variational methods and of their use in numerical problems of Engineering....
John Wiley & Sons, Ltd., 2015. – 600 p. – ISBN: 1118457684. Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including...
Springer, 2011. — 638 p.
The papers in this volume were selected for presentation at the 20th International Meshing Roundtable (IMR), held October 23–26, 2011 in Paris, France. The conference was started by Sandia National Laboratories in 1992 as a small meeting of organizations striving to establish a common focus for research and development in the field of mesh generation....
CRC Press, 2015. — 672 p.
This book provides a concise and comprehensive guide to the application of finite element mesh generation over 2D domains, curved surfaces, and 3D space. Organised according to the geometry and dimension of the problem domains, it develops from the basic meshing algorithms to the most advanced schemes to deal with problems with specific requirements...
Wien: Springer, 2015. - 232p. The book presents the state of the art in isogeometric modeling and shows how the method has advantaged. First an introduction to geometric modeling with NURBS and T-splines is given followed by the implementation into computer software. The implementation in both the FEM and BEM is discussed. A Primer on Splines and NURBS for Isogeometric Analysis...
Учебное пособие. — Новосибирск: Изд-во НГТУ, 2007. — 896 с. — ISBN: 978-5-7782-0749-9. Рассматриваются вопросы теории и практики МКЭ и его возможности при использовании узловых и векторных базисных функций для решения различных классов задач. Много внимания уделяется технологическим аспектам при реализации МКЭ, методам тестирования и способам оценки точности получаемых...
Wiley, 1995. — 320 p. Oriented toward those who will use finite elements (FE) rather than toward theoreticians and computer programmers. Emphasizes the behavior of FE and how to use the FE method successfully. Includes several examples of FE analysis--each one features a critique of the accuracy of the solutions. Contains end-of-chapter exercises and extensive advice about FE...
World Scientific Publishing Company (December 13, 2010). - 377 p. This textbook provides an accessible and self-contained description of the Galerkin finite element method for the two important models of continuum mechanics, transient heat conduction and elastodynamics, from formulation of the governing equations to implementation in MatLAB. The coverage follows an intuitive...
3rd Edition. — Cambridge University Press, 2007. — 382 p. The method of finite elements is one of the main tools for the numerical treatment of elliptic and parabolic partial differential equations. Because it is based on the variational formulation of the differential equation, it is much more flexible than finite difference methods and finite volume methods, and can thus be...
Курс лекций. — Санкт-Петербург: Балтийский государственный технический университет Военмех им. Д.Ф. Устинова (БГТУ Военмех), 2015. — 90 с. В курсе лекций основное внимание уделено основным понятиям о методе конечных элементов, алгоритму выполняемых операций и практическим действиям по применению МКЭ к решению прочностных задач. При выводе основных формул описывается в основном...
Cham; Heidelberg; New York; Dordrecht; London: Springer, 2015. — XIII, 314 p. — ISBN: 978-3-319-17709-0; ISBN: 978-3-319-17710-6 (eBook). This book presents theories and the main useful techniques of the Finite Element Method (FEM), with an introduction to FEM and many case studies of its use in engineering practice. It supports engineers and students to solve primarily linear...
Third edition. — John Wiley & Sons, 2014. — XXIX, 846. — ISBN: 978-1-118-57136-1 (cloth) A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering...
Учебное пособие. — Брянск: Брянская гос. инженерно-технологическая академия (БГИТА), 2008. — 99 с. Приведены основные положения МКЭ применительно к расчету стержневых несущих конструкций. Изложены процедуры статического анализа напряженно-деформированного состояния, определения собственных частот и форм колебаний и исследования переходных динамических процессов для объектов...
Boca Ratonk: CRC Press, 2013. - 429p. This book provides a comprehensive review of meshless approximation methods, an important alternative to the finite element method, which is widely used for numerical analysis of a wide range of engineering problems. The authors discuss the numerical properties and background information for the most important meshless approximation methods...
Prof. Duc Thai Nguyen, 135 Kaufman, Old Dominion University, Department of Civil & Environmental Engineering ISBN: 0-387-29330-2 e-ISBN: 0-387-30851-2 ISBN: 978-0-387-29330-1 USA: Springer, 2006. - 544 с. A Review of Basic Finite Element Procedures Simple MPI/FORTRAN Applications Direct Sparse Equation Solvers Sparse Assembly Process Generalized Eigen-Solvers Finite Element...
2 edition. — John Wiley & Sons, 2002. — XXIV, 753 p. — ISBN: 0-471-43818-9. The finite element method is one of the preeminent simulation techniques for obtaining solutions to boundary-value problems in mathematical physics. It has applications in a variety of engineering and scientific studies, such as antennas, radar, microwave engineering, high-speed/high-frequency circuits,...
CRC Press, 1997. — 519 p. — ISBN: 0849396530. The finite element method (FEM) has become one of the most important and useful tools for scientists and engineers. This new book features the use of MatLAB to present introductory and advanced finite element theories and formulations. MatLAB is especially convenient to write and understand finite element analysis programs because a...
Учебное пособие. — Новосибирск: Новосиб. гос. ун-т, 1999. — 166 с. В книге содержатся теоретические основы метода конечных элементов. Приводятся необходимые для изложения факты теории обобщенных решений эллиптических краевых задач и в абстрактной форме описываются проекционные методы их решения. Отдельная глава посвящена описанию метода конечных элементов в применении к...
Монография. — Киев: Вища школа, 1982. — 480 с. Монография посвящена проблемам развития и реализации метода конечных элементов (МКЭ) применительно к расчету строительных и машиностроительных конструкций при силовых и температурных воздействиях. Изложены эффективные гибридные схемы МКЭ для решения линейных, физически и геометрически нелинейных задач механики деформируемых твердых...
Методическое пособие. — Ижевск: Удмуртский университет, 2011. — 44 с. Методическое пособие предназначено магистрам первого курса математического факультета по направлению "Прикладная математика и информатика", изучающим годовой курс "Проекционно-сеточные методы". Теоретическая часть пособия охватывает разделы курса, читаемые в первом семестре, содержит примеры постановок задач...
Wiley, 2008. — 432 p. — ISBN: 047012539X Finite Element Method (FEM) is one of the numerical methods of solving differential equations that describe many engineering problems. This new book covers the basic theory of FEM and includes appendices on each of the main FEA programs as reference. It introduces the concepts so that engineers can use the method efficiently and...
Wien: Springer-Verlag, 1988. — VII, 333 p. — ISBN: 978-3-211-82103-9; ISBN: 978-3-7091-2826-8 (eBook). Traditional FEM and the more recent BEM underlie many engineering computational methods and corresponding software. Both methods have their merits and also their limitations. The combination of both methods will provide an improved numerical tool in the future. Complementary...
CRC Press, Taylor & Francis Group, 2011. — XVI, 482 p. — ISBN13: 978-1-4398-4584-4 (eBook - PDF). While the finite element method (FEM) has become the standard technique used to solve static and dynamic problems associated with structures and machines, Ansys software has developed into the engineer’s software of choice to model and numerically solve those problems. An...
2nd ed. — Wiley-ISTE, 2008. — 848 p. — ISBN: 9781848210295, 9780470611166. The aim of the second edition of this book is to provide a comprehensive survey of the different algorithms and data structures useful for triangulation and meshing construction. In addition, several aspects are given full coverage, such as mesh modification tools, mesh evaluation criteria, mesh...
Technical Report. — Calgary: University of Calgary, Department of Civil Engineering, 2000. — 68 p. Kinematics of finite deformations. Eulerian setting of isotropic elasticity. Decoupled volumetric-isochoric response. Isotropic hyperelasticity. Finite element formulation. Abaqus implementation. Performance. Derivation of formulas.
5th Edition. — Butterworth-Heinemann, 2000. — 479 p. The first volume of this edition covered basic aspects of finite element approximation in the context of linear problems. Typical examples of two- and three-dimensional elasticity, heat conduction and electromagnetic problems in a steady state and transient state were dealt with and a finite element computer program structure...
5th Edition. — Butterworth-Heinemann, 2000. — 707 p. It is just over thirty years since The Finite Element Method in Structural and Continuum Mechanics was first published. This book, which was the first dealing with the finite element method, provided the base from which many further developments occurred. The expanding research and field of application of finite elements led...
Соросовский образовательный журнал, Математика, 2000, том 6, номер 4, 120-127
На простых примерах пояснены основы метода конечных элементов и проиллюстрированы основные его достоинства.
5., bearbeitete und ergänzte Aulage. — Berlin; Heidelberg: Springer Vieweg, 2015. — XVI, 485 p. — ISBN: 978-3-642-53936-7, ISBN: 978-3-642-53937-4 (eBook). Dieses moderne Lehrbuch ermöglicht aufgrund der ausführlichen Darstellung, der rechnergestützten Form und vieler Beispiele einen einfachen Einstieg in die Finite-Elemente-Methode (FEM). Nach einer Einführung in die...
Robert D. Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt. — 4th Edition. — John Wiley & Sons. Inc., 2002. — XVI, 719 p. — ISBN: 978-0-471-35605-9 (cloth: alk. paper). This book has been thoroughly revised and updated to reflect developments since the third edition, with an emphasis on structural mechanics. Coverage is up-to-date without making the treatment highly...
2nd edition. — Oxford University Press, 2011. — 312 p. — ISBN: 0199609136 The finite element method is a technique for solving problems in applied science and engineering. The essence of this book is the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. The method is developed for...
3rd edition. — McGraw-Hill, 2005. — 672 p.
The book retains its strong conceptual approach, clearly examining the mathematical underpinnings of FEM, and providing a general approach of engineering application areas. Known for its detailed, carefully selected example problems and extensive selection of homework problems, the author has comprehensively covered a wide range of...
СГТУ им. Гагарина Ю.А., Саратов, 2015. — 31 с.
Дисциплина «Компьютерные технологии в теплотехнических расчетах».
Приведены решения методом конечных элементов двумерных стационарных задач расчета переноса тепла теплопроводностью в Mathcad. Целью расчета является определение температуры в узловых точках. В качестве граничных условий задаются коэффициенты теплоотдачи и...
Springer, 2015. - 108 pp. The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. Weighted Residuals and Galerkin’s Method for a Generic 1-D Problem. A Model Problem: 1-D Elastostatics. A Finite Element Implementation in One Dimension. Accuracy of the Finite Element Method....
Verlag der Fachvereine Hochschulverlag AG an der ETH Zurich, 2002. — 112 p. IMAGINE Abstract Procedural programming paradigm Other programming paradigms Object-oriented programming paradigm Requirements for large programming systems Aim of the framework Persistence Object-oriented database Development environment FE kernel Geometric modeling Project management User interface...
JOHN Wiley & SONS, 1997. Reprinted with corrections December 1988, April 2000 - 509 p. ISBN: 047195649X More continuum mechanics Non-orthogonal coordinates and CO- and contravariant tensor components More finite element analysis of continua Large strains, hyper elasticity and rubber More plasticity and other material non-linearity-I More plasticity and other material...
JOHN Wiley & SONS, 1991. Reprinted April 2000 - 360 p. ISBN: 0471929565 Notation General introduction, brief history and introduction to geometric non-linearity A shallow truss element with Fortran computer program Truss elements and solutions for different strain measures Basic continuum mechanics Basic finite element analysis of continua Basic plasticity Two-dimensional...
М.: Мир, 1979. — 392 с. Книга представляет собой руководство по широко используемому в настоящее время методу конечных элементов, позволяющему получать численные решения инженерных, физических и математических задач. Детальное обсуждение основных идей метода сопровождается примерами, иллюстрирующими технику его применения. Приводится большое число простых программ, написанных...
Springer, 2003. — 234 p. — ISBN: 3642055052 The Japanese original edition of "FEM for Springs" was published in 1997, to commemorate the 50th anniversary of Japan Society for Spring Research (JSSR). While there have been many books published about Finite Element Method (FEM), this book was among the first to address the application of FEM to spring design. When asked about...
Cham; Heidelberg; New York; Dordrecht; London: Springer, 2015. — XIV, 363 p. — ISBN: 978-3-319-13379-9; ISBN: 978-3-319-13380-5 (eBook). This monograph describes the numerical analysis of non-linearities in structural mechanics, i.e. large rotations, large strain (geometric non-linearities), non-linear material behaviour, in particular elasto-plasticity as well as...
СГТУ им. Гагарина Ю.А., Саратов, 2015. — 25 с.
Дисциплина «Компьютерные технологии в теплотехнических расчетах».
Приведены решения методом конечных элементов одномерных стационарных задач расчета переноса тепла теплопроводностью в Mathcad. Целью расчета является определение температуры в узловых точках. В качестве граничных условий задаются температуры на концах стержня,...
Springer, 2013. — 894 p. — ISBN: 978-1-4020-8743-1. The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM).The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of...
John Wiley & Sons, 2015. — 486 p. — ISBN: 1118405307 An introductory approach to the subject of large strains and large displacements in finite elements. Large Strain Finite Element Method: A Practical Course, takes an introductory approach to the subject of large strains and large displacements in finite elements and starts from the basic concepts of finite strain...
Издание 2-е., испр. — Казань: КГУ, 2011. — 239 с. Излагаются основные способы построения и исследования схем метода конечных элементов приближенного решения краевых задач для линейных эллиптических уравнений второго и четвертого порядков. Книга рассчитана на студентов старших курсов и аспирантов, специализирующихся в области методов численного решения задач математической...
Springer, 2014. - 370 pp. This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of...
Ph. D. Dissertation. – Aalborg: Aalborg University. – 1994. – 236 p. Abstract: The objective of the present Ph.D project is to develop, implement and integrate methods for structural analysis, design sensitivity analysis and optimization into a general purpose computer aided environment for interactive structural design, analysis, design sensitivity analysis, synthesis, and...
2 edition. — Springer New York Heidelberg Dordrecht London, 2015. XIV, 657 p. — ISBN: 978-1-4899-7549-2, ISBN: 978-1-4899-7550-8 (eBook). This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using Ansys, a commercially available FEA program. Revised and updated,...
Thomas Telford Publ., 1999. — 440 p. This comprehensive new two-volume work provides the reader with a detailed insight into the use of the finite element method in geotechnical engineering. As specialist knowledge required to perform geotechnical finite element analysis is not normally part of a single engineering degree course, this lucid work will prove invaluable. It brings...
Thomas Telford Publ., 2001. — 427 p. This comprehensive new two-volume work provides the reader with a detailed insight into the use of the finite element method in geotechnical engineering. As specialist knowledge required to perform geotechnical finite element analysis is not normally part of a single engineering degree course, this lucid work will prove invaluable. It brings...
Thomas Telford Publ., 1999. — 440 p. This comprehensive new two-volume work provides the reader with a detailed insight into the use of the finite element method in geotechnical engineering. As specialist knowledge required to perform geotechnical finite element analysis is not normally part of a single engineering degree course, this lucid work will prove invaluable. It brings...
Учебное пособие. — Челябинск: ЧГАА, 2013. — 296 с. В книге, ориентированной на студентов (бакалавров и специалистов) сельскохозяйственных вузов, излагаются основы метода конечных элементов в перемещениях с акцентом на его приложение к задачам строительной механики. От читателя не требуется какой-либо дополнительной подготовки по математике сверх обычной вузовской программы в...
CRC, 2000. — 472 p. This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows. Finite difference...
SpringerWienNewYork, 2009. VII, 206 p. — ISBN: 978-3-211-99092-6 — (CISM International Centre for Mechanical Sciences, Number 509). Mixed finite element methods are a tool to solve complex engineering problems of different nature. This subject is treated in the volume from the engineering and the mathematical point. Different applications are considered which depict the value...
Springer, 2015. — xiv, 430 p. — ISBN: 978-1-4419-1745-4, ISBN: 978-1-4419-1746-1 This book introduces the key concepts of nonlinear finite element analysis procedures. The book explains the fundamental theories of the field and provides instructions on how to apply the concepts to solving practical engineering problems. Instead of covering many nonlinear problems, the book...
Oxford: Mathematical Institute, 2012. — 106 p.
Finite element methods represent a powerful and general class of techniques for the approximate solution of partial differential equations; the aim of this course is to provide an introduction to their mathematical theory, with special emphasis on theoretical questions such as accuracy, reliability and adaptivity; practical issues...
5 edition. — Wiley, 2013. — 682 p. Many students, engineers, scientists and researchers have benefited from the practical, programming-oriented style of the previous editions of Programming the Finite Element Method, learning how to develop computer programs to solve specific engineering problems using the finite element method. This new fifth edition offers timely revisions...
Wiley; 2 edition (December 29, 1998) — 508 p.
The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media Second Edition Roland W. Lewis, University of Wales Swansea, UK Bernard A. Schrefler, University of Padua, Italy Following the highly successful first edition, this text deals with numerical solutions of coupled thermo-hydro-mechanical...
Chichester: John Wiley & Sons. – 2000. – 666 p. The objective of this book is to provide a comprehensive introduction to the methods and theory of nonlinear finite element analysis. We have focused on the formulation and solution of the discrete equations for various classes of problems that are of principal interest in applications of the finite element method to solid...
4., neu bearb. u. erg. Aufl. — Springer Heidelberg Dordrecht London New York, 2012. XVI, 443 S. 204 Abb. Mit Online-Extras. — ISBN: 978-3-642-29505-8, ISBN: 978-3-642-29506-5 (eBook). Verständliches Lehrbuch mit innovativem Konzept: Buch plus Anwendungssoftware im Internet. Didaktisches Konzept mit ausführlichen Ableitungen. Etwa 100 praxisbezogene Anwendungs- und...
Amsterdam: Elsevier. – 2001. – 318 p. Recent developments in numerical computations are amazing. A lot of huge projects in applied and theoretical sciences are becoming successful by them, while similar things are happening even in the level of personal computers. Under such a situation, theoretical studies on numerical schemes are fruitful and highly needed. The purpose of the...
Wiley, 2005. — 720 p. — ISBN: 0471648086 Finite Element Analysis with Mathematica and MatLAB Computations and Practical Applications is an innovative, hands-on and practical introduction to the Finite Element Method that provides a powerful tool for learning this essential analytic method.
Rensselaer Polytechnic Institute (Troy/U.S.A.), 8 p., 2012. Mechanical Engineering. Abstract. Introduction and Background. Fully Elastic Deformation in FEA. Elastic-Plastic Deformation in FEA. Problem Description and Methodology. Resources Required. Expected Outcome. Tentative Work Schedule.
John Wiley & Sons Ltd, 2008. XVI, 368 p. — ISBN13: 978-0470-01832-3. Many books have been written about the finite element method; little however has been written about procedures that assist a practicing engineer in undertaking an analysis in such a way that errors and uncertainties can be controlled. In A Practical Guide to Reliable Finite Element Modelling, Morris addresses...
Учебное пособие. — Ростов-на-Дону: Южный федеральный университет (ЮФУ), 2010. — 78 с. Учебное пособие разработано сотрудниками кафедры вычислительной математики и математической физики Михаилом Юрьевичем Жуковым и Еленой Владимировной Ширяевой. Учебное пособие содержит набор лабораторных работ по пакету конечных элементов FreeFem++. Каждая лабораторная работа сопровождается...
Boca Raton: CRC Press LLC, 2003. — 693 p. This book provides an introduction to MFree methods, and their application to various mechanics problems. This book covers the following types of problems: Mechanics for solids (2D solids); Mechanics for structures (beams, plates, and shells); Fluid mechanics (fluid flow, convection flow, and hydrodynamics). The bulk of the material in...
Cham, Switzerland: Springer, 2014. — 374 p. — ISBN 978-3-319-03562-8, 978-3-319-03563-5. This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. The unique approach first summarizes and outlines the finite-element mathematics...
Wiley, 2014. — 352 p. — ISBN: 1118342356, 9781118342350
One of the first books to provide in-depth and systematic application of finite element methods to the field of stochastic structural dynamics.
The parallel developments of the Finite Element Methods in the 1950's and the engineering applications of stochastic processes in the 1940's provided a combined numerical analysis...
Springer Cham Heidelberg New York Dordrecht London, 2014, XII, 132 p. — ISBN: 978-3-319-03694-6, ISBN: 978-3-319-03695-3 (eBook), DOI 10.1007/978-3-319-03695-3 — (SpringerBriefs in Mathematics). Presentation and explanation of most of the details in the proofs and in the different applications Inclusion of results that are usually available only in papers or proceedings...
Dover Publications, 1987. — 803 p.
This text is geared toward assisting engineering and physical science students in cultivating comprehensive skills in linear static and dynamic finite element methodology. Based on courses taught at Stanford University and the California Institute of Technology, it ranges from fundamental concepts to practical computer implementations....
Монография. — М.: Стройиздат, 1977. — 128 с. Метод конечных элементов излагается применительно к задачам теории упругости. Приводятся вариационные постановки этих задач для непрерывных и разрывных полей искомых величин. Выясняется математическая сущность метода конечных элементов и указывается его механическая интерпретация. Основное внимание уделяется элементам различных...
2nd edition, Wiley, New York, 1984, 427 p. An introductory textbook for senior/graduate couses in finite element analysis taught in all engineering departments. Covers the basic concepts of the finite element method and their application to the analysis of plane structures and two-dimensional continuum problems in heat transfer, irrotational fluid flow, and elasticity. This...
7th Edition. - Elsevier, 2014. — 657 p. Knowledge and best practice in this field are constantly changing. As new research and experience broaden our understanding, changes in research methods, professional practices, or medical treatment may become necessary. Practitioners and researchers must always rely on their own experience and knowledge in evaluating and using any...
Technische Universität München, 2011. — 214 p. Inhaltsverzeichnis. Abbildungsverzeichnis. Tabellenverzeichnis. Einführung. Theoretische Grundlagen. Statik. Dynamik. Beispiel - Statik. Beispiel - Dynamik. Ansys Benutzeroberfläche. Starten von Ansys. Ansys Graphische Benutzer Oberfläche (GUI). Grundlagen (Abläufe im Hintergrund). Wichtige Funktionen und Einstellungen. Ablauf...
Springer, 2010. — 175 p. — (Lecture Notes in Applied and Computational Mechanics, 53). Phenomena occurring during a contact of two bodies are encountered in everyday life. In reality almost every type of motion is related to frictional contact between a moving body and a ground. Moreover, modeling of simple and more complex processes as nailing, cutting, vacuum pressing,...
Elsevier Science Ltd., 2000. VIII, 421 p. — ISBN: 008-043568-8.
The tenth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1999, was held at Brunel University during the period 22-25 June, 1999. This book seeks to highlight certain aspects of the state-of-the-art theory and applications of finite element methods of that time. This latest conference, in...
Springer International Publishing Switzerland, 2014. XVI, 432 p. 305 illus., 90 illus. in color. — ISBN: 978-3-319-02963-4 ISBN: 978-3-319-02964-1 (eBook), DOI 10.1007/978-3-319-02964-1. Efficient methods leading to highly sparse and banded structural matrices Application of graph theory for efficient analysis of skeletal structures Many worked examples and exercises will help...
7th Edition. — Butterworth-Heinemann, 2013. — 756 p. — ISBN: 1856176339.
The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced...
Nonlinear Finite Element Methods. University of Colorado at Boulder - Course number ASEN 6107. This course covers the modeling, formulation and numerical solution of nonlinear problems in structural mechanics by finite element methods. Emphasizes treatment of geometric nonlinearities, applications to assessment of static and dynamic stability, incremental and iterative methods...
No front matter. — Wiley, 2007. — 2244 p. — ISBN: 9780470091357. Over the past four decades computational methods in applied mechanics have developed into valuable tools that are widely used across both industry and academia. The applications are numerous: aerospace structures, civil engineering structures, geotechnics, flow problems, automotive industry, geo-environmental...
Теоретические основы метода конечных элементов.
Рассмотрены некоторые контактные задачи и задачи динамики.
Пакет программ Ansys, примеры решения задач: оболочечные конструкции и нелинейные задачи.
Пакет программ LS-Dyna. примеры решения задач: большие деформации, описание разрушения.
Second Edition. — Butterworth-Heinemann, 2013. — 436 p. — ISBN: 0080983561, 978-0750658669. На англ. языке. Written for practicing engineers and students alike, this book emphasizes the role of finite element modeling and simulation in the engineering design process. It provides the necessary theories and techniques of the FEM in a concise and easy-to-understand format and...
М.: Физматлит, 2010. — 1024 с. Книга представляет собой критическое изложение как самих методов конечных элементов, так и их приложений в механике твердых тел, гидромеханике, теории фильтрации и теории теплопередачи. После предварительной информации о построении математических моделей приводятся формулировки как линейных, так и нелинейных задач. Метод конечных элементов...
М.: МГУ им. М.В. Ломоносова, 2007. — 104 с. В кратком курсе излагаются основы многосеточных методов и методов декомпозиции области и рассматриваются приложения методов к численному решению задач математической физики. В книгу вошли геометрический многосеточный метод, включая V-цикл, W-цикл и ВРХ-переобуславливатель, методы декомпозиции типа Неймана-Дирихле, Шварца и...
Монография. London: ISTE Ltd, 2011. - 270 P.
Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the crack tip region are developed...
CRC Press, 2013. — 487 pages. — ISBN10: 1466580208 There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MatLAB and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method...
Перевод с англ. С.Н. Хотяинцев. — Под ред. Ф.Ф. Дубровки. — М.: Мир, 1986. — 229 с., ил. Книга известных зарубежных специалистов (Канада, Великобритания), в которой представлены математические и инженерные аспекты метода конечных элементов в решении задач электродинамики и электротехники. Рассматривается практическая реализация данного метода при решении конкретных инженерных...
Springer, 2007 - Computers - 429 pages. This book explores the numerical implementation of Finite Element Analysis using the computer program MatLAB, which is very popular today in engineering and engineering education. The book contains a short tutorial on MatLAB as well as a systematic strategy for the treatment of finite element methods. Useful to both students and...
Oxford University Press, Inc., 1993. — 371 p. — ISBN 9780198563839. The resolution of contact-impact problems, once computationally difficult, has been made easier and more accurate with the finite element method. This new book explains finite-element procedures for solving both static and dynamic contact-impact problems. It provides comprehensive discussions on the...
Edited by T. Belytschko, T. Hughes. — Elsevier, 1983. — 523 p. — (Computational methods in mechanics). — ISBN 9780444864796. In this volume, the theoretical basis and implementation of computer methods for the transient analysis of solids and structures are described. While emphasis is placed on finite element methods, finite difference and boundary-element methods are also...
Elsevier, 2004. — 326 p. — ISBN: 9780080535012. The understanding of hydrocodes requires knowledge of numerical methods in the code as well as a keen understanding of the physics of the problem being addressed. This can take many years to learn via codes. There are currently a number of titles addressing the physics of high pressure and high rate material but nothing...
М.: Наука, Физматлит, 1989. — 288 с. Посвящена изложению метода конечных элементов и алгоритмов алгебраических систем высокого порядка, возникающих при его применении к краевым задачам математической физики. Традиционные теоретические основы метода изложены кратко, подробнее рассмотрены способы триангуляции областей, использование смешанного метода, аппроксимация краевых...
М.: Машиностроение, 1988. — 256 с. — ISBN: 5-217-00011-2. Изложена методология создания программного обеспечения для численной реализации на ЭВМ матричных алгоритмов решения разнообразных задач механики и физики и, в частности, матричных алгоритмов метода конечных элементов. Описываются структура и принципы функционирования системы матричного программного обеспечения (СМПО), а...
М.: Радио и связь, 2002. — 104 с. Книга детально знакомит читателей с основами метода конечных элементов, начиная с изгиба балки до построения глобальных матриц жесткости упругих систем, задач теплопроводности, диффузии и определения собственных форм при колебаниях. Построены матрицы жесткости для одно, двух и трехмерных случаев. Рассмотрены конечные элементы высших порядков....
Монография. — Киев: Наук. думка, 1989. — 272 с. В монографии рассмотрены алгоритмы решения некоторых задач математической физики методом конечных элементов (МКЭ). Приведено теоретическое обоснование МКЭ для рассматриваемых классов задач, доказана сходимость построенных приближенных решений и даны оценки их точности. Обсуждены проблемы машинной реализации алгоритмов, а также...
Bull. Amer. Math. Soc., 1943, V. 49 , pp. 1–23. Классическая статья великого математика 20-го века Р. Куранта (1888-1972). Это первая работа, где рассматривалась схема типа метода конечных элементов. Полезна для серьёзно занимающихся МКЭ!
Springer, 2003. — 342 p. OCR. This book is an essential tool written to be used as the primary text for an undergraduate or early postgraduate course as well as a reference book for engineers and scientists who want to quickly develop finite-element programs. Regarding the formulation of the finite element method, the book emphasizes the essential unity of all processes of...
Professional Publications, Inc, 2006. - 872 p. - ISBN10: 1591260728 The Best-Selling Book for FE Exam Preparation The FE Review Manual gives you the power to pass the FE exam the first time. Designed to prepare you for the general FE exam in the least amount of time, this review manual provides you with a complete and comprehensive review of the topics covered on the FE exam....
Oxford University Press, 2003. — 464 p. — ISBN10: 0198508883. Finite Element Methods For Maxwell's Equations is the first book to present the use of finite elements to analyze Maxwell's equations. This book is part of the Numerical Analysis and Scientific Computation Series.
Berlin Heidelberg: Springer-Verlag, 2013. 402 p. — ISBN: 3642332862. This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial...
Springer, 2009. — 682 p. — ISBN10: 0387308881. Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners...
Springer, 2010. 572 p. ISBN10: 3642090028 Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the...
Society for Industrial & Applied, 2006. 363 p. - ISBN10: 0898716144 The finite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. Understanding and Implementing the Finite Element Method is essential reading for those interested in understanding both the theory and the implementation of the finite...
Society for Industrial and Applied Mathematics, 2001. 432 p. - ISBN10: 0898714990 Finite Element Solution of Boundary Value Problems: Theory and Computation provides a thorough, balanced introduction to both the theoretical and the computational aspects of the finite element method for solving boundary value problems for partial differential equations. Although significant...
Wiley, 2001. 500 p. - ISBN10: 0471496502 Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has...
Oxford University Press, 2002. — 624 p. — ISBN10: 0198525222. Starting from a clear, concise introduction, the powerful finite element and boundary element methods of engineering are developed for application to quantum mechanics. The reader is led through illustrative examples displaying the strengths of these methods using application to fundamental quantum mechanical...
ISTE Publishing Company, 2000. — 814 p. — ISBN10: 1903398002. A comprehensive survey, this study examines the different algorithms and data structures used in triangulation and mesh generation that are widely employed in various engineering fields that make use of physical models based on partial differential equations (PDE). Many aspects of mesh generation are described,...
Учебное пособие. — Екатеринбург: УрФУ, 2010. — 266 с. Учебное пособие посвящено системному описанию принципов работы с программным комплексом DEFORM-3D американской фирмы Scientific Forming Technologies Corporation (SFTC), направленным на проведение конечно-элементного анализа различных технологических процессов металлообработки. Пособие затрагивает вопросы создания инструмента...
North Holland, 1995. — 984 p. — ISBN10: 0444817948. This series of volumes aims to cover all the major aspects of numerical analysis, serving as the basic reference work on the subject. Each volume will concentrate on one, two or three particular topics. Each article, written by an expert, is an in-depth survey, reflecting the most recent trends in the field, and is essentially...
North Holland, 2000. — 928 p. — ISBN10: 0444703667. This series of volumes will cover all the major aspects of Numerical Analysis, serving as the basic reference work on the subject. Each volume will concentrate on one, or two, particular topics and will be essentially self-contained. Each article, written by an expert, is an in-depth survey, reflecting the most recent trends...
2 edition. — CRC Press, 2008. — 480 p. — ISBN10: 1420050958. Explore a Unified Treatment of the Finite Element Method. The finite element method has matured to the point that it can accurately and reliably be used, by a careful analyst, for an amazingly wide range of applications. With expanded coverage and an increase in fully solved examples, the second edition of Finite...
OnWord Press, 1998. — 585 p. — ISBN10: 156690160X. This book offers a practical view of finite element analysis (FEA) by reviewing the basics of design analysis from an engineering perspective. It provides practical guidelines for specific design problems, such as setting boundaries, contact points between parts, sheet metal weldments, plastic components, and other common...
1 edition. — CRC Press, 2003. — 296 p. — ISBN: 084930749X.
Finite element modeling has developed into one of the most important tools at an engineer’s disposal, especially in applications involving nonlinearity. While engineers coping with such applications may have access to powerful computers and finite element codes, too often they lack the strong foundation in finite...
Springer; 1998 edition (August 13, 1998). - 240 p. ISBN10: 0387983198 A cognitive journey towards the reliable simulation of scattering problems using finite element methods, with the pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forming the core of this book. Starting from the basic physical assumptions, the author...
Bonet J., Gil A.J., Wood R.D. Cambridge University Press (September 24, 2012). - 136 p. ISBN10: 1107603617 Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of...
De Borst R., Crisfield M., Remmers J., Verhoosel C. Wiley; 2 edition (September 4, 2012). - 594 p. ISBN10: 0470666447 Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist René de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and...
К.: Будівельник, 1980. — 232 с.
В практике проектирования различных строительных конструкций широкое распространение получил метод конечных элементов (МКЭ). Применение МКЭ в традиционной форме к пространственному расчету зданий и сооружений приводит часто к сложным и трудоемким операциям матричной алгебры, связанным с необходимостью решения систем алгебраических уравнений...
Л.: Издательство Ленинградского университета, 1977. - 208 с.
В книге излагаются вопросы построения, исследования и численного решения схем метода конечных элементов и преимущественно схем высоких порядков точности. Значительное внимание уделяется вопросам, непосредственно связянным с применением метода: построению полиномиальных интерполяций для базисных конечных элементов,...
Учебное пособие. — К.: УМК ВО, 1990. — 84 с. Описана реализация метода конечных элементов для автоматизированного расчета напряженно-деформированного состояния и собственных колебаний элементов строительных конструкций на основе разработанного пакета прикладных программ. Рассматриваются примеры задания исходных данных для расчетов стержневых систем, ферменных конструкций,...
New York: Springer, 2013. — 301 p.
As a new interdisciplinary research area, image-based geometric modeling and mesh generation integrates image processing, geometric modeling and mesh generation with finite element method (FEM) to solve problems in computational biomedicine, materials sciences and engineering. It is well known that FEM is currently well-developed and...
Texts in Applied Mathematics. Volume 15: 3rd ed. Springer, 2007, 420 p. This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. One purpose of this book is to formalize basic tools that are commonly used by researchers in the field but never published. It is intended primarily for...
Electronic edition, 2010, 329 p. There were many texts available on finite-element methods for electromagnetic fields when the print version of this book was released in 1997, and there are even more now. Most of them are mathematically oriented, presenting a generalized, sophisticated theoretical framework. This book differs in two respects: - It emphasizes the physical...
Theoretical Approach and Problem Solving Techniques. Springer, 2008, 267 p. This book is dedicated to the use of the finite elements method for the approximation of equations having partial derivatives. It resumes part of the curriculum leading to the certificate in Numerical Methods for Mechanics taught by the author since the past twelve years as part of the graduate studies in...
Applications to Structural Dynamics Springer, 2010, 254 p. Finite-element-model Updating Using Computational Intelligence Techniques introduces the concepts of computational intelligence for finite-element-model updating. Finite-element modeling is a subject that has received acceptance and has applications in various disciplines of engineering including aerospace, civil,...
John Wiley & Sons, Inc., 2000. 264 p. ISBN: 047129411X This volume presents the most up-to-date information available on a posteriori error estimation for finite element approximation in mechanics and mathematics. It emphasizes methods for elliptic boundary value problems and includes applications to incompressible flow and nonlinear problems. Recent years have seen an...
ТулГУ, 2012г., 20стр + 2 программы(плоский напряжённый случай и плоский деформированный).
В работе рассматривается система, состоящая из четырёх треугольных трёхузловых плоских конечных элементов. Задаются известные узловые перемещения и узловые силы, составляется матрица жёсткости и в результате находятся неизвестные узловые перемещения и узловые силы, а так же компоненты...
JohnWiley & Sons, 2012. — 288 p. — ISBN: 1119940508. Approaches computational engineering sciences from the perspective of engineering applications. Uniting theory with hands-on computer practice, this book gives readers a firm appreciation of the error mechanisms and control that underlie discrete approximation implementations in the engineering sciences. Key features...
Fifth Edition. — Elsevier, 2011. — 726 p. — ISBN 1856176614. Finite Element Analysis is an analytical engineering tool originated by the Aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. It is an extension of derivative and integral calculus, and uses very large matrix arrays and mesh diagrams to calculate...
Монография. New York: Cambridge University Press, 2010. - 518 p.
There are many books on finite element methods but few give more than a brief description of their application to structural vibration analysis. This book presents an introduction to the mathematical basis of finite element analysis as applied to vibrating systems. Finite element analysis is a technique that is...
2nd edition. — McGraw-Hill, 1993. — 704 p. — ISBN: 0070513554 The second edition is intended for the junior-senior-graduate level course in finite element method. This text includes a step-by-step, systematic approach to the formulation and analysis of differential and integral equations in variational forms for use as finite element methods.
Учебное пособие. — Кемерово: Кузбасский гос. технический ун-т (КузГТУ), 2012. — 189 с. Учебное пособие для студентов специальности 150202 Оборудование и технология сварочного производства. В пособии излагаются основные положения метода конечных элементов, приведены примеры расчета металлоконструкций методом конечных элементов. Уровень анализа рассматриваемых в руководстве...
CL Engineering, 2011. - 992 p. — ISBN: 0495668257
"A First Course in the Finite Element Method" provides a simple, basic approach to the course material that can be understood by both undergraduate and graduate students without the usual prerequisites (i.e. structural analysis). The book is written primarily as a basic learning tool for the undergraduate student in civil and...
Навчальний посібник. — Краматорськ: Донбаська державна машинобудівна академія (ДДМА), 2008. — 380 с. У навчальному посібнику дані основні відомості про метод кінцевих елементів для різних видів вантаження стрижнів, товстостінних циліндрів, пластин і оболонок. Наведені практичні розрахунки машинобудівних конструкцій з контрольними прикладами, блок-схеми і тексти програм їх...
Методические указания — Луганск: Луганский гос. аграрный ун-т (ЛНАУ), 2007. — 55 с. Методические указания для выполнения расчетно-графических работы по дисциплине "Метод конечных элементов" включают условие и пример расчета каждой работы. Также предлагаются алгоритмы решения поставленной задачи в программном комплексе Ansys. Для студентов строительного факультета из...
Учебное пособие. — Сумы: СумГУ, 2006. — 147 с. Изложены основы метода конечных элементов при решении задачи сопротивления материалов и теории упругости. Приведены примеры расчетов напряженно деформированного состоянию разных конструкций. Для студентов специальности «Динамика и прочность», а также для студентов инженерных специальностей, которые факультативно изучают метод...
McGraw-Hill; 1 edition (November 1, 1994). - 264 p. ISBN10: 0070087148 Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow,...
Butterworth-Heinemann; 1 edition (August 1, 2005). - 512 p. ISBN10: 0750667222 This key text is written for senior undergraduate and graduate engineering students. It delivers a complete introduction to finite element methods and to automatic adaptation (error estimation) that will enable students to understand and use FEA as a true engineering tool. It has been specifically...
2nd ed. — CRC, 2000. — 624 p. — ISBN: 0849300967 Expanded to include a broader range of problems than the bestselling first edition, Finite Element Method Using MatLAB: Second Edition presents finite element approximation concepts, formulation, and programming in a format that effectively streamlines the learning process. It is written from a general engineering and...
Статья. Опубликована в Acta Geotechnica. — 2009. — №4 . — С. 117-127.
In this paper we propose a new algorithm to simulate the dynamics of 3-D interacting rigid bodies. Six degrees of freedom are introduced to describe a single 3-D body or particle, and six relative motions and interactions are permitted between bonded bodies. We develop a new decomposition technique for 3-D...
Wiley, 2003. — 379 p. — ISBN: 0471486825.
A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without...
Oxford University Press, 2004. — 488 p. — ISBN10: 019852529X. This book presents the theory and computer implementations of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics (flows of incompressible fluids), and solid mechanics (elasticity, beams and plates). Both geometric as well as material nonlinearities...
Prentice Hall, 1982. — 736 p. — ISBN 0133173054. This a very good book about numerical procedures to be implement in a finite element code. From static to dynamic, it covers almost all details on this subject. Today we have computers with more power, other numerical procedures, but many programs were done with this procedures, I think many are still running.
Springer, 2009. — 246 p. This expository book surveys the main concepts and recent advances in multiscale finite element methods. This monograph is intended for the broader audiences including engineers, applied scientists and those who are interested in multiscale simulations. The book is self-contained, starts from the basic concepts and proceeds to the latest developments in...
Matthews F.L., Davies G.A.O., Hitchings D., Soutis C. Woodhead Publishing Ltd and CRC Press LLC, 2003. - 214 p.
This book is based on the lecture notes prepared for the above course. The emphasis throughout is on long fibre-reinforced polymer (FRP) matrix composites, although any general analysis would be applicable to other forms of composite. The book starts with a review of...
Днепропетровск: ПГАСА, 2000. — 255 с. — ISBN: 966-7282-32-5. В книге приведено систематизированное изложение основ метода конечных элементов строительной механики, способы решения алгебраических уравнений жесткости, приложение метода к задачам статики и динамики строительных конструкций, полей, применение супер-элементов. Книга предназначена для студентов и аспирантов вузов, а...
McGraw-Hill, 1992. — 337 p. This book is written for engineering students and practicing engineers who have little knowledge of the boundary element method. Engineers and students have tended to be discouraged by complex mathematics usually employed in explaining this method, which has led to the popularity of the finite element method. This book attempts to redress the...
CRC Press LLC, 1998. — 1096 p. — ISBN10: 0849326877, ISBN13: 978-0849326875. Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and...
Wiley John & Sons, 2004, 798 p. Фундаментальная энциклопедия вычислительных методов механики. Доступно изложены метод конечных разностей ( глава 2 ) и метод конечных элементов ( главы 3, 4,.). Наряду с классическими методами, рассматриваются и многие современные достижения в этой области. Ничего подобного на русском языке нет. Introduction and Survey Finite Difference Methods...
CRC Press, 2009. — 446 p. The purpose of this book is to provide the detailed MatLAB and C programming processes in applications of the Trefftz finite element method to potential and elastic problems, helping readers to take what may be a painful step from mathematical formulation to computer programming, enabling them to develop appropriate programs for their own particular...
4th ed. — John Wiley & Sons Ltd, 2004. — 628 p. The theme of the successful earlier editions has been maintained. A modular programming style, now expressed in Fortran95, facilitates both the consolidation of previous programs into easier-o-use units, and the very important advance into parallel computing environments. Chapter 1 has been extended by a description of the...
Wiley-Interscience, 2005. — 504 p.
A systematic introduction to partial differential equations and modern finite element methods for their efficient numerical solution Partial Differential Equations and the Finite Element Method provides a much-needed, clear, and systematic introduction to modern theory of partial differential equations (PDEs) and finite element methods (FEM)....
Northwestern University, 1998. 662 p.
Nonlinear finite element analysis is an essential component of computer-aided design. Testing of prototypes is increasingly being replaced by simulation with nonlinear finite element methods because this provides a more rapid and less expensive way to evaluate design concepts and design details. For example, in the field of automotive design,...
Basel: Birkhauser Verlag, 2004. 141 p. ISBN 3-7643-6665-6.
Quasilinear systems and conservation laws.
Conservative schemes.
Source terms.
Nonconservative schemes.
Multidimensional finite volumes with sources.
Numerical tests with source.
New York: Springer-Verlag, 1991. 362 p. ISBN 0-387-97582-9
Mixed and hybrid finite element methods are widely employed in many areas of computational engineering. Their mathematical properties have been thoroughly studied and a general theory has emerged. This book gives a unified presentation of this mathematical theory. It presents all the standard results, in particular the...
London: Imperial College Press, 1997, 183 pp.
Introduction and Structural Analysis.
Computer Programming.
Structural Analysis.
Case Study: Bending of a Tapered Beam.
Continuum Mechanics Problems.
Continuum Mechanics Equations.
Some Physical Problems.
Classification of Partial Differential Equations.
Methods for Solving Harmonic and Biharmonic Equations.
Finite Element...
Казань: Казанский федеральный университет, 2010. — 71 с. В пособии излагаются основные этапы построения и программной реализации схем метода конечных элементов приближенного решения краевых задач для линейных эллиптических уравнений второго порядка. Пособие рассчитано па студентов старших курсов и аспирантов, специализирующихся в области методов численного решения задач...
Department of Mechanical Engineering Pohang University of Science & Technology, 2005. - 227 pages. Finite element formulations. Shape functions and discretization. Numerical integration. Solution techniques. FEM for thermo-mechanical process. Field problems. Boundary element method.
World Scientific, 2004. — 396 p. — ISBN: 9812387935 This book presents a systematic description and case studies of chemical engineering modelling and simulation based on the MatLAB/FEMLAB tools, in support of selected topics in undergraduate and postgraduate programmes that require numerical solution of complex balance equations (ordinary differential equations, partial...
CRC Press, 2010. 671 p. ISBN:1439820279, ISBN 13: 978-1-4398-2028-5 (Ebook-PDF)
Generating a quality finite element mesh is difficult and often very time-consuming. Mesh-free methods operations can also be complicated and quite costly in terms of computational effort and resources. Developed by the authors and their colleagues, the smoothed finite element method (S-FEM) only...
Springer, 2008. 238 р. ISBN:978-1-4020-9199-5. This book illustrates how MatLAB compact and powerful programming framework can be very useful in the finite element analysis of solids and structures. The book shortly introduces finite element concepts and an extensive list of MatLAB codes for readers to use and modify. The book areas range from very simple springs and bars to...
Конспект лекцій. — К.: КНУБА, 2004. — 112 с. Викладені основні положення одного із сучасних чисельних методів розв’язання задач будівельної механіки – методу скінченних елементів. Наведені варіаційні принципи можливих переміщень і Лагранжа, на основі яких побудовані співвідношення скінченних елементів в формі переміщень для плоских і просторових стержневих конструкцій з...
Методичні вказівки. — К.: Київський національний ун-т будівництва і архітектури (КНУБА), 2004. — 20 с. Методичні вказівки до виконання розрахунково-графічної роботи з будівельної механіки. Призначено для студентів спеціальності 7.092101 Промислове і цивільне будівництво заочної форми навчання.
CRC Press, Taylor & Francis Group, 2008. — 331 p. Designing structures using composite materials poses unique challenges due especially to the need for concurrent design of both material and structure. Students are faced with two options: textbooks that teach the theory of advanced mechanics of composites, but lack computational examples of advanced analysis; and books on...
Willey, 2011. 372 p. ISBN:978-0-470-97728-6. When using numerical simulation to make a decision, how can its reliability be determined? What are the common pitfalls and mistakes when assessing the trustworthiness of computed information, and how can they be avoided? Whenever numerical simulation is employed in connection with engineering decision-making, there is an implied...
Chapman and Hall/CRC Press, 2007. — 398 p. This book reports a very personal experience and struggle with the subject of hp elements and, I hope, the reader will not get offended if I make the presentation very personal from the very beginning. Implementing hp elements. Shortly after my third arrival in Texas, J. Tinsley Oden, my host, boss, and friend, presented me with the...
London: Springer-Verlag, 2010. – 395 P.
The finite element method can be applied to problems in various fields of science and engineering. It is well established and its algorithms are presented in numerous publications. Many books are devoted to different aspects of the finite element method. Still, algorithms of the finite element method are difficult to understand, and...
М.: Наука, 1980. — 256 с. В книге изложены основные представления о методе конечных элементов (МКЭ) и способах его реализации в задачах линейной и нелинейной механики разрушения. Ее содержанием охвачен широкий круг вопросов – от методов расчета коэффициентов интенсивности напряжений в плоских и осесимметричных телах при механическом и термическом нагружении пластически...
Marcel Dekker, Inc., 1998. — 518 p. — ISBN: 0-8247-0075-9. Assuming only basic knowledge of mathematics and engineering mechanics, this lucid reference introduces the fundamentals of finite element theory using easy-to-understand terms and simple problems-systematically grounding the practitioner in the basic principles then suggesting applications to more general cases....
CRC Press, 2010. - 770 pp. - 2nd edition.
Drawing on the author's own research, this book provides a single-source guide to meshfree techniques and theories that can effectively handle a variety of complex engineering problems. It analyzes how the methods work, explains how to use and develop the methods, and explores the problems associated with meshfree methods.
Reflecting the...
Статья. 4 с. БГТУ, 150301 - «Динамика и прочность машин», 5 курс, 9 семестр. Изложены теоретические основы решения геометрически нелинейной задачи изгиба стержня методом конечных элементов. Получены явные выражения для нелинейной матрицы градиентов, касательной матрицы жесткости и матрицы геометрической жесткости. За основу взят раздел Large displacement theory of beams из...
Учебник. — Новосибирск: НГТУ, 2010. — 238 с. — (Учебники НГТУ). — ISBN 978-5-7782-1287-9. Современные пакеты прикладных программ, основанные на МКЭ (NASTRAN, Ansys, COSMOS/M), реализуют технологию этого метода для расчета на прочность, устойчивость и колебания любых конструкций, решения задач аэро-, гидро- и электродинамики. Квалифицированное применение подобных пакетов требует...
Fourth Edition. — Australia; Brazil; Canada: Thomson, 2007. — 808 p. — ISBN:0-534-55298-6. A First Course in the Finite Element Method provides a simple, basic approach to the course material that can be understood by both undergraduate and graduate students without the usual prerequisites (i.e. structural analysis). The book is written primarily as a basic learning tool for...
Springer, 2011. 133 p. — ISBN:978-0-85729-660-3, e-ISBN:978-0-85729-661-0, DOI 10.1007/978-0-85729-661-0 The finite element method is often used for numerical computation in the applied sciences. It makes a major contribution to the range of numerical methods used in the simulation of systems and irregular domains, and its importance today has made it an important subject of...
М.: АСВ, 2005. - 240 с.
В монографии изложены следующие многосеточные итерационные процедуры для расчетов тонкостенных несущих конструкций: алгоритм раздельных и налагающихся местных деформаций метода конечных элементов, алгоритм прерывистых разрезов метода чередования основных систем и алгоритм самоуравновешенных вспомогательных нагрузок методы граничных элементов....
John Wiley & Sons Ltd, 2007. 336 p. ISBN:0470035803 Developed from the authors, combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems governed by partial differential equations. Focusing on the formulation and application of the...
Springer, 2008. 454 p. ISBN-10:1846283558 This book is the first to apply the Spectral Finite Element Method (SFEM) to inhomogeneous and anisotropic structures in a unified and systematic manner. Readers will gain understanding of how to formulate Spectral Finite Element; learn about wave behaviour in inhomogeneous and anisotropic media; and, be able to design some diagnostic...
Wiley Press, 1998. — 512 p. — ISBN:0471283452. A thorough guide to the fundamentals—and how to use them—of finite element analysis for elastic structures For elastic structures, the finite element method is an invaluable tool which is used most effectively only when one understands completely each of its facets. A Primer for Finite Elements in Elastic Structures disassembles...
Thomas Telford Publishing, 2004. -300 pp.
This book has been written for both the practical structural engineer and for students, who are using computer software for designing of concrete structures. The problems of Finite Element calculations are illustrated, not just be theoretical systems, but also by relating to real structures, mostly those on which the author has actually...
Издательство Ассоциации строительных вузов, 1994, 353 с., ил., л.220 наименований Р. А. Хечумов, Х. Кепплер, В. И. Прокопьев; Под общ. ред. Р. А. Хечумова. Изложены основы применения метода конечных элементов (МКЭ) к расчету конструкций. Привлечение математического аппарата тензорной алгебры и тензорного анализа позволяет формулировать алгоритмы метода для их непосредственного...
CRC, 2000. — 472 p. This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows. Finite difference...
McGraw-Hill, 2004. — 494 p. This new text, intended for the senior undergraduate finite element course in mechanical, civil and aerospace engineering departments, gives students a solid, practical understanding of the principles of the finite element method within a variety of engineering applications. Hutton discusses basic theory of the finite element method while avoiding...
Монография. — Казань: Казанский физико-технический институт, 1989. — 271 с. Настоящая монография посвящена применению метода конечных элементов к расчету тонких оболочек. Описываются все известные в настоящее время подходы к построению конечных элементов тонких пологих и непологих оболочек на основе различных вариационных формулировок и разрешающих уравнений либо теории...
Nafems, 2000. — 140 р. Why FEA Based Fatigue Design? The Elements of a Life Estimation System. An Overview of the FEA Based Fatigue Environment. FE Hints and Tips – Why FEA. Different Philosophies and Life Estimation Models. Design Philosophies. Safe-Life. Fail-Safe. Damage-Tolerant. ntegrated Durability Management. Life Prediction Methods. Stress-Life (S-N, or Nominal Stress)...
Kluwer Academic Publishers, 1992. — 228 p. — ISBN-10 0792311256. Описываются процедуры конечно-элементного расчета конструкций из композиционных материалов. Composite materials are increasingly used in aerospace, underwater, and automotive structures. To take advantage of the full potential of composite materials, structural analysts and designers must have accurate...
Hermes, 1998. — 431 p. Triangle, tetrahedron, triangulation, mesh About the triangle About the tetrahedron Simplex Triangulation Mesh Useful element sets Notes Delaunay triangulation From Dirichlet to Delaunay Delaunay lemma Incremental method Other methods Computational aspects About some results Applications Notes Constrained triangulation Constraints and triangulation Some...
Springer, 2004. — 484 p. Structural Analysis with Finite Elements develops the foundations and applications of the finite element method in structural analysis in a language which is familiar to structural engineers. At the same time, it uncovers the structural mechanics behind the finite element method. This innovative text explores and explains issues such as: why finite...
Academic Press, 1998. — 533 p. This book provides an in-depth background to better understanding of finite element results and techniques for improving accuracy of finite element methods. Thus, the reader is able to identify and eliminate errors contained in finite element models. Three different error analysis techniques are systematically developed from a common theoretical...
Troy, New York: Rensselaer Polytechnic Institute, 2000. — 323 p. One Dimensional Finite Element Methods. Multi Dimensional Variational Principles. Finite Element Approximation. Mesh Generation and Assembly. Numerical Integration. Discretization Errors. Adaptivity. Parabolic Problems. Hyperbolic Problems. Linear Systems Solution.
New Age International, 2005. — 347 p.
With the authors experience of teaching the courses on Finite Element Analysis to undergraduate and postgraduate students for several years, the author felt need for writing this book. The concept of finite element analysis, finding properties of various elements and assembling stiffness equation is developed systematically by splitting the...
3 edition. — McGraw-Hill, 2005. — 424 p. — ISBN 0072466855. This is a Solutions Manual to J.N. Reddy's, An Introduction to the Finite Element Method, third edition J.N. Reddy's, An Introduction to the Finite Element Method, third edition is an update of one of the most popular FEM textbooks available. The book retains its strong conceptual approach, clearly examining the...
Springer, 2009. ISBN:1402087322 Volume1 presents the basis of the FEM for structural analysis and a detailed description of the finite element formulation for axially loaded bars, plane elasticity problems, axisymmetric solids and general three dimensional solids. Each chapter describes the background theory for each structural model considered, details of the finite element...
Л.: Издательство Ленинградского университета, 1975. — 237 с. В книге строительная механика стержневых систем рассматривается как механика систем элементов, обладающих конечным числом степеней свободы. Используются только основные общие положения механики и простейшие понятия линейной алгебры. Расчет стержневых систем включен в единую схему расчета систем, состоящих из...
Харьков: Изд-во "Основа" при Харьк. ун-те, 1991. - 272 с. В монографии систематически описываются известные и новые варианты методов конечных и граничных элементов для расчетов стержневых систем, плоских и пространственных тел, тонких и нетонких однородных и слоистых анизотропных пластин и оболочек. Рассматриваются задачи термо-, магнито-, электроупругости, статики и динамики,...
М.: Физматлит, 2006. — 392 с. Книга посвящена проблеме построения конечно-элементных моделей оболочек малой и средней толщины. Структурно книга состоит из трех разделов. Первый раздел содержит анализ различных подходов построения конечных элементов тонких непологих оболочек с токи зрения выполнения требования сходимости (совместность, представлений смещений как твердого целого...
Учебно-методическое пособие. — Гомель: Белорусский государственный университет транспорта (БелГУТ), 2008. — 61 с. Изложены основы метода конечных элементов применительно к задачам механики деформируемого твердого тела. Описаны основные принципы формирования конечноэлементных моделей. Приведены примеры решения некоторых задач прикладной механики, рассматриваемых в курсе...
Учебное пособие. — Кишинев: Кишиневский политехнический ин-т, 1978. — 77 с. Настоящая книга является первой частью учебного пособия по курсу «Основы метода конечных элементов». В ней содержится изложение применяемого матричного аппарата линейной алгебры как математической основы метода конечных элементов (МКЭ), вариационных принципов как физической основы МКЭ и применение МКЭ к...
Springer, 2010. 538 p. ISBN:9048187605 This book treats the formulation and finite elements for shells, and its subject is defined by the following topics: Computational mechanics of non-linear shells Shell equations: Reissner kinematics, finite rotations, finite strain Shell finite elements: 4-node, enhanced or mixed or mixed/enhanced Drilling rotation: drilling Rotation...
Монография. — Л.: Судостроение, 1985. — 156 с. Монография посвящена методике расчета элементов конструкций, подкрепленных ребрами жесткости. Сформулирован численный алгоритм метода конечных элементов для расчета пластин и оболочек, подкрепленных ребрами жесткости. Приводится анализ сходимости решений в расчетах прочности, и формулируются ее основные критерии. Рассматриваются...
Kluwer Academic Publishers, 1992. 228 p. ISBN:0792311256 Composite materials are increasingly used in aerospace, underwater, and automotive structures. To take advantage of the full potential of composite materials, structural analysts and designers must have accurate mathematical models and design methods at their disposal. The objective of this monograph is to present the...
М.: МГУ, 1980. — 167 с. В книге излагается метод конечных элементов применительно к некоторым задачам динамики распределенных систем. Значительное внимание уделяется вопросам сокращения объема вычислений при сохранении точности решения. Основная часть книги посвящена построению расчетных моделей и алгоритмов для анализа колебаний плоских упругих тел и их устойчивости при...
Society for Industrial and Applied Mathematics (SIAM), 2003. — 156 p. The finite element method (FEM) has become the most widely accepted general-purpose technique for numerical simulations in engineering and applied mathematics. Principal applications arise in continuum mechanics, fluid flow, thermodynamics, and field theory. In these areas, computational methods are essential...
First Edition. — Butterworth-Heinemann, 2003. — 384 p. — ISBN: 0750658665, 978-0750658669.
The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a...
Cambridge University Press, 2004. — 558 p. This book contains an introduction to hyperbolic partial differential equations and a pow erful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave-propagation and transport phenomena arising in nearly every scientifc...
Birkhauser Boston, 2003. — 207 p. Text compiled from the material presented by the second author in a lecture series at the Department of Mathematics of the ETH Zurich during the summer term 2002. Concepts of 'self-adaptivity' in the numerical solution of differential equations are discussed, with emphasis on Galerkin finite element models. Most graduate students in engineering...
Cambridge University Press, 1987. — 279 p.
An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science-...
Авт.: В. И. Мяченков, В. П. Мальцев, В. П. Майборода и др.; Под общ. ред. В. И. Мяченкова. — М.: Машиностроение, 1989. — 520 с.: ил.
Изложены численные методы и алгоритмы расчета на прочность и жесткость пластинчато-стержневых систем, трехмерных объемных тел, тонкостенных оболочечных, призматических и складчатых конструкций. Все алгоритмы реализованы на языке ПЛ-1 в ОС ЕС ЭВМ....
6th ed. — Elsevier, 2005. — 631 p. General problems in solid mechanics and non-linearity Small deformation solid mechanics problems Variational forms for non-linear elasticity Weak forms of governing equations Concluding remarks Galerkin method of approximation – irreducible and mixed forms Finite element approximation – Galerkin method Numerical integration – quadrature...
ЮУрГУ, 270102, ПГС - Промышленное и Гражданское Строительство, 3 курс, 5 семестр, Метод Конечных Элементов
Отчет по лабораторным работам
По курсу "Метод Конечных Элементов"
Содержание:
Исходные данные
Расчетная схема
Файл исходных данных
Схема деформирования
Таблица перемещений
Области напряжений
Таблицы усилий
Области главных напряжений
Таблицы главных...
5th Edition. — Butterworth-Heinemann, 2000. — 348 p. Fifth edition, Taylor R.L. (на английском языке) Классический учебник по газодинамике. Представлены основные методы, алгоритмы и программы решения задач по газовой динамике In the years since the fourth edition of this seminal work was published, active research has developed the Finite Element Method into the pre-eminent...
Москва: МГТУ им. Баумана, 2010. — 66 с.
Изложены основы метода асимптотического осреднения (метода Бахвалова — Победри) для задач теории упругости, а также основы метода конечных элементов для решения локальных задач теории упругости на «ячейке периодичности» и расчета эффективных упругих характеристик композитов. Даны вариационные формулировки задач теории упругости
и задач...
М.: Стройиздат, 1993. — 664 с. Изложены основные принципы конечных элементов (МКЭ) применительно к решению широкого круга задач строительной механики. Даны альтернативные подходы построения матриц жесткости по методу сил, перемещений и смешанному методу для стержневых, плоских и пространственных систем. Наряду с традиционным подходом к расчету плит рассмотрены основы теории...
Учебное пособие. — Комсомольск-на-Амуре: Комсомольский-на-Амуре государственный технический университет (КнАГТУ), 2004. — 157 с. Приводятся основные практические понятия об анализе инженерных конструкций методом конечных элементов. На примерах подробно рассматривается последовательность формирования конечноэлементных моделей для расчёта стержневых, тонкостенных и объёмных...
Springer, 2010. — 72 p. — ISBN-10: 3642131522, ISBN-13: 978-3642131523 The intention of this booklet is a brief but general introduction into the treatment of the Finite Element Method (FEM). The FEM has become the leading method in computer–oriented mechanics, so that many scientific branches have grown up besides over the last decades. Nevertheless, the FEM today is a...
Перевод с английского А.П. Троицкого и С.В. Соловьева. — Под ред. докт. техн. наук Ю.К. Зарецкого. — Москва: Недра, 1974. — 240 с. В книге описан метод конечных элементов применительно к расчету инженерных конструкций и задачам механики сплошной среды. Сформулированы вариационные принципы и энергетический подход для вывода зависимостей метода, а также предложены критерии...
М.: Мир, 1981. — 216 с. Предлагаемая книга посвящена методу конечных элементов и отличается от других книг по этой тематике простотой и компактностью изложения, широтой охвата материала и методичностью изложения. В книге даются анализ различных вариантов метода и многочисленные примеры его применения к конкретным задачам. Приведено свыше ста упражнений различной степени...
М.: Мир, 1980. — 512 с. Книга известного французского математика посвящена изучению математических основ метода конечных элементов для эллиптических краевых задач. Она служит введением в современные исследования по этому предмету и содержит анализ наиболее актуальных задач. При этом автор ограничивается теми случаями, которые используются в современных инженерных приложениях....
Новосибирск: НГТУ, 2001. — 69 с. Утверждено Редакционно - издательским советом в качестве учебного пособия для студентов факультета прикладной математики. На примере решения задач по электромагнетизму рассматривается метод конечных элементов (МКЭ) для двумерного случая. Дан обзор необходимых сведений из функционального анализа и теории узлового МКЭ.
Учебное пособие для вузов. — М.: АСВ, 2000. — 152 с.
Метод конечных элементов широко применяется в расчетах конструкций различных типов на прочность при статических и динамических воздействиях, что нашло отражение в учебных программах для студентов, обучающихся по техническим специальностям. В то же время отсутствуют учебники, в которых последовательно описывались бы...
Imperial College Press, 1996. — 171 p.
This revised text serves as an introduction to finite element methods. Its main emphasis is on the simplest methods suitable for solving two-dimensional continuum mechanics problems, particularly those encountered in stress analysis, fluid mechanics and heat transfer. В каждой главе приведены тексты программ на FORTRAN, реализующие...
М.: Мир, 1989. — 190 с. В книге французских специалистов рассматриваются вопросы применения теории конечных элементов для автоматизации процессов конструирования двумерных и трехмерных изделий применительно к разным объектам машиностроения и электротехнической промышленности. Основное внимание уделяется вычислительным процедурам, реализуемым на ЭВМ. Приведены пакеты прикладных...
М.: Наука, Физматлит, 1989. — 288 с. Посвящена изложению метода конечных элементов и алгоритмов алгебраических систем высокого порядка, возникающих при его применении к краевым задачам математической физики. Традиционные теоретические основы метода изложены кратко, подробнее рассмотрены способы триангуляции областей, использование смешанного метода, аппроксимация краевых...
Пер. с англ. — М.: Мир, 1986. — 318 с.
Книга одного из крупнейших английских специалистов по методу конечных элементов О. Зенкевича, написанная им совместно с его учеником и коллегой К. Морганом, служит введением в круг основных понятий численной аппроксимации, используемых при практическом решении дифференциальных уравнений.
Для чтения книги достаточно знания математики в...
Перевод с английского В. И. Агошкова, В. А. Василенко, В. В. Шайдурова. — Под ред. Г. И. Марчука. — М. : Мир, 1977. — 351 с. Метод конечных элементов получил широкое распространение как один из самых эффективных методов решения краевых задач математической физики. В монографии известных американских специалистов излагаются теоретические основы метода конечных элементов —...
Учебное пособие для студентов авиационных специальностей вузов. — М.: Высшая школа, 1985. — 392 с. В книге изложены общие принципы метода конечных элементов в перемещениях, его связь с вариационными принципами механики. Рассмотрены вопросы сходимости конечноэлементного решения, способы построения матриц жесткости и матриц масс типовых конечных элементов, схемы конечноэлементной...
Springer Science-nBusiness Media, LLC, 2006. - 696 p. ISBN:0387282890
The finite element method (FEM) has become a staple for predicting and simulating the physical behavior of complex engineering systems. The commercial finite element analysis (FEA) programs have gained common acceptance among engineers in industry and researchers at universities and government laboratories....
Рига: Знание, 1988. — 284 с. Изложены теории и основные соотношения метода конечных элементов для расчета анизотропных оболочек произвольной геометрии. На базе теории Тимошенко построены конечные элементы пластин, оболочек вращения и оболочек произвольной формы. Рассмотрены задачи статики, динамики и устойчивости оболочек из однородных и композитных материалов. Обсуждены вопросы...
5th Edition. — Butterworth-Heinemann, 2000. — 707 p. It is just over thirty years since The Finite Element Method in Structural and Continuum Mechanics was first published. This book, which was the first dealing with the finite element method, provided the base from which many further developments occurred. The expanding research and field of application of finite elements led...
Автор и выходные данные не указаны.
Содержание:
Основные понятия и определения
Общая схема метода
Конечный элемент
Матрица жесткости конечного элемента
Пример расчета стержневой системы методом конечных элементов
Пер. с англ. Б.И. Квасов. — М.: Мир, 1986. — 318 с. Книга одного из крупнейших английских специалистов по методу конечных элементов О. Зенкевича, написанная им совместно с его учеником и коллегой К. Морганом, служит введением в круг основных понятий численной аппроксимации, используемых при практическом решении дифференциальных уравнений.
In the years since the fourth edition of this seminal work was published, active research has further developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and...
Учебное пособие для вузов. — Под ред. П.М. Варвака. — Киев: Вища школа, 1981. — 176 с. Рассмотрены фундаментальные вариационные принципы, на которых базируется МКЭ. В качестве объектов изучения взяты балки и стержневые системы, балки-стенки, пластины, многослойные конструкции, массивы, оболочки и комбинированные системы. Освещены вопросы реализации метода на ЭВМ и применения...
Prentice Hall, 1996. — 1037 p. A text for upper-level undergraduate and graduate courses on finite element analysis or for self-study by engineers and scientists, developed from the author's earlier Finite Element Procedures in Engineering Analysis (Prentice-Hall, 1982). It does not present a survey of finite element methods, but concentrates only on certain procedures, namely...
М.: Стройиздат, 1982. — 448 с. Излагаются численные методы анализа, применяемые при решении задач строительной механики методом конечных элементов и получившие развитие в связи с широким использованием ЭВМ в практике расчетов. Рассмотрены основные теории матриц и линейной алгебры, основные принципы метода конечных элементов. Значительное внимание уделено методам решения систем...
Пер. с англ. — М.: Стройиздат, 1980. — 224 с. Просто и ясно излагаются матричные методы решения задач строительной механики, основанные на конечно-элементном подходе при рассмотрении твёрдого деформированного тела. Книга предназначена для инженерно-технических и научных работников, изучающих и использующих МКЭ.
CRC Press, 1997. — 519 p. — ISBN 0849396530. The finite element method (FEM) has become one of the most important and useful tools for scientists and engineers. This new book features the use of MatLAB to present introductory and advanced finite element theories and formulations. MatLAB is especially convenient to write and understand finite element analysis programs because a...
Учебное пособие. — Пер. с англ. В.М. Картвелишвили. — Под ред. Н.В. Баничука. — М.: Мир, 1984. — 428 с. Книга написана крупным американским ученым, одним из разработчиков известного метода конечных элементов. В ней глубокой всесторонне рассмотрены вопросы применения метода конечных элементов и вариационного подхода к задачам теории упругости. Изложение начинается с простейших...
Методические указания. — Ульяновск: Ульяновский гос. технический ун-т (УлГТУ), 2005. — 28 с. Указания составлены в соответствии с учебными программами по дисциплине «Метод конечных элементов в строительных конструкциях» для направления «Строительство». В методическом указании рассматривается расчет плоской фермы методом конечных элементов. Приведены матричные зависимости...
М.: Мир, 1981. — 304 с.
Книга представит существенный интерес для советских специалистов, поскольку рассматриваемые в ней вопросы не нашли достаточного освещения в отечественной литературе по прикладной математике. Авторы с большим педагогическим мастерством излагают основные понятия и принципы метода конечных элементов, знакомят с важными особенностями использования метода при...
М.: Мир, 1976. — 96 с. В книге даётся математическое обоснование метода конечных элементов, получившего в последние годы широкое распространение. Основное внимание уделяется строгой математической формулировке вопросов. Даётся вариационная формулировка задач с краевыми условиями, рассматривается применение метода к численному решению уравнений в частных производных; изложенный...
Подробно разобран пример расчета балки методом конечных элементов. Все объясняется довольно подробно. Проще даже рассчитать МКЭ, чем строить эпюры как обычно: )
Новосибирский государственный университет, Новосибирск, 2000-2001. 57 с. Конспект лекций семестрового курса «Методы вычислений: метод конечных элементов», прочитанных для студентов третьего курса механико–математического факультета Новосибирского государственного университета. Основой конспекта является книга профессора Ю. М. Лаевского «Метод конечных элементов (основы теории,...
Монография. — Перевод с английского. — М.: Мир, 1975. — 543 с. Монография посвящена изложению основ метода конечных элементов - одного из наиболее эффективных современных методов численного решения инженерных, физических и математических задач с применением вычислительных машин. В книге рассмотрены основные принципы метода конечных элементов и их приложение к задачам теории...
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