Fundamentals of Plasticity in Geomechanics
The book presents a concise, yet reasonably comprehensive, overview of fundamental notions of plasticity in relation to geomechanics. The primary objective of this work is to provide the reader with a general background in soil/rock plasticity and, as such, should be perceived as an introduction to the broad area of inelastic response of geomaterials.
The book is divided into eight chapters. Chapters 1 & 2 start with an outline of the basic concepts and fundamental postulates, followed by a review of the elastic-perfectly plastic formulations in geomechanics. The isotropic strain-hardening framework and isotropic-kinematic hardening rules, the latter formulated within the context of bounding surface plasticity, are discussed in Chapters 3 & 4. Chapter 5 outlines the basic techniques for numerical integration, whereas Chapter 6 gives an overview of procedures for limit analysis that include applications of lower and upper bound theorems. Both these chapters are introductory in nature and are intended to provide a basic background in the respective areas. Chapter 7 deals with description of inherent anisotropy in geomaterials. Finally, Chapter 8 provides an overview of the experimental response of geomaterials.
The text is intended primarily for Ph.D./M.Sc. students as well as researchers working in the areas of soil/rock mechanics. It may also be of interest to practicing engineers familiar with established notions of contemporary continuum mechanics.
1. Basic concepts of the theory of plasticity
2. Elastic-perfectly plastic formulations in geomechanics
3. Isotropic strain-hardening formulations
4. Combined isotropic-kinematic hardening rules
5. Numerical integration of constitutive relations
6. Introduction to limit analysis
7. Description of inherent anisotropy in geomaterials
8. Experimental trends in the mechanical behaviour of soils and rocks
Appendix: Suggested exercises