Puzrin A.M. Constitutive Modelling in Geomechanics. Introduction

Berlin, Heidelberg: Springer-Verlag, 2012. — 306 p. — ISBN: 978-3-642-27394-0.The purpose of this book is to bridge the gap between the traditional Geomechanics and Numerical Geotechnical Modelling with applications in science and practice. Geomechanics is rarely taught within the rigorous context of Continuum Mechanics and Thermodynamics, while when it comes to Numerical Modelling, commercially available finite elements or finite differences software utilize constitutive relationships within the rigorous framework. As a result, young scientists and engineers have to learn the challenging subject of constitutive modelling from a program manual and often end up with using unrealistic models which violate the Laws of Thermodynamics.The book is introductory, by no means does it claim any completeness and state of the art in such a dynamically developing field as numerical and constitutive modelling of soils. The author gives basic understanding of conventional continuum mechanics approaches to constitutive modelling, which can serve as a foundation for exploring more advanced theories. A considerable effort has been invested here into the clarity and brevity of the presentation. A special feature of this book is in exploring thermomechanical consistency of all presented constitutive models in a simple and systematic manner.Introduction to Continuum Mechanics
- Boundary Value Problems in Geotechnics
- Elementary Tensor Analysis
- Stresses
- Strains
- Equations of Continuum Mechanics
- Finite Elements
- Finite Differences
- Equations of Continuum Thermodynamics
- Modelling Soil Behaviour
Constitutive modelling of reversible soil behaviour
- Isotropic Elastic Behaviour
- Anisotropy and Coupling
- Pressure dependency of stiffness
- Small Strain Nonlinearity
Constitutive modelling of irreversible soil behaviour
- Failure
- Plastic flow
- Dilatancy
- Plastic Yielding and Strain Hardening
- Pre-consolidation
- Critical State
- Irreversibility in Cyclic Behaviour
- Rate and Time Dependency
Appendices
- Undrained Soil Behaviour
- Finite Element Implementation