Bhavikatti S.S. Finite Element Analysis

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 subject into various chapters.The method is made clear by solving many problems by hand calculations. The application of finite element method to plates, shells and nonlinear analysis is presented. After listing some of the commercially available finite element analysis packages, the structure of a finite element program and the desired features of commercial packages are discussed.Contents: Introduction Basic Equations in Elasticity Matrix Displacement Formulation Elements Shapes, Nodes, Nodal Unknowns and Coordinate Systems Shape Functions Strain Displacement Matrix Assembling Stiffness Equations-Direct ApproachAssembling Stiffness Equation-Galerkins Method, Virtual Work Method Assembling Stiffness Equation-Variational Method Discritization of a Structure Finite Element Analysis-Brass and Trusses Finite Element Analysis-Plane Stress and Plane Strain Problems Isoparametric Formulation Analysis of Beams and Rigid Frames Bending of Thin Plates Analysis of Shells Nonlinear Analysis Standard Packages and Their Features