Plasticity and Geomechanics

Author： R. O. Davis; A. P. S. Selvadurai  

Publisher： Cambridge University Press‎

Publication year： 2005

E-ISBN: 9780511055027

P-ISBN(Paperback): 9780521018098

Subject： TU43 soil mechanics

Keyword： 地球物理学

Language： ENG

Access to resources Favorite

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Plasticity and Geomechanics

Description

Plasticity theory is widely used to describe the behaviour of soil and rock in many engineering situations. Plasticity and Geomechanics presents a concise introduction to the general subject of plasticity with a particular emphasis on applications in geomechanics. Derived from the authors' own lecture notes, this book is written with students firmly in mind. Excessive use of mathematical methods is avoided in the main body of the text and, where possible, physical interpretations are given for important concepts. In this way the authors present a clear introduction to the complex ideas and concepts of plasticity as well as demonstrating how this developing subject is of critical importance to geomechanics and geotechnical engineering. This book therefore complements Elasticity and Geomechanics by the same authors and will appeal to graduate students and researchers in the fields of soil mechanics, foundation engineering, and geomechanics.

Chapter

Cover

Half-title

Title

Copyright

Contents

Preface

1 Stress and strain

1.1 Introduction

1.2 Soil mechanics and continuum mechanics

1.3 Sign conventions

1.4 Deformation and strain

1.5 Strain compatibility

1.6 Forces and tractions

1.7 The stress matrix

1.8 Principal stresses

1.9 Mohr circles

1.10 The effective stress principle

1.11 Equilibrium

Further reading

Exercises

2 Elastic and inelastic material behaviour

2.1 Introduction

2.2 Hooke’s law

2.3 Values for elastic constants

2.4 Solution of problems in elasticity

2.5 Plane elasticity

2.6 Indications of inelastic behaviour

2.7 The oedometer test

2.8 The triaxial test

Further reading

Exercises

3 Yield

3.1 Introduction

3.2 Principal stress space

3.3 Yield surfaces for metals

3.4 The Coulomb yield criterion

3.5 Modifications to Coulomb’s criterion

3.6 The Cambridge models

3.7 Two-dimensional yield loci

3.8 Example – plane strain

Further Reading

Exercises

4 Plastic flow

4.1 Introduction

4.2 Normality

4.3 Associated flow rules

4.4 Example – plane strain

4.5 Non-associated flow

4.6 A loading criterion

4.7 A complete stress–strain relationship

4.8 The pressuremeter problem

Further reading

Exercises

5 Collapse load theorems

5.1 Introduction

5.2 The theorems

5.3 Discontinuities of stress and deformation

5.4 A vertical cut

5.5 Shallow foundation – lower bound

5.6 Shallow foundation – upper bound

5.7 Shallow foundation – discussion

5.8 Retaining walls

5.9 Arching

5.10 Non-associated flow and the upper bound theorem

Further reading

Exercises

6 Slip line analysis

6.1 Introduction

6.2 Two-dimensional stress states

6.3 Slip lines

6.4 Slip line geometries

6.5 Some simple problems

6.6 Frictional materials

6.7 Effects of gravity

6.8 The velocity field

Further reading

Exercises

7 Work hardening and modern theories for soil behaviour

7.1 Introduction

7.2 Work hardening for metals

7.3 Cam Clay

7.4 Beyond Cam Clay

7.5 Last words

Further reading

Exercises

Appendix A Non-Cartesian coordinate systems

Further reading

Appendix B Mohr circles

Mohr circles in two dimensions

Mohr circles in three dimensions

Further reading

Appendix C Principles of virtual work

Further reading

Appendix D Extremum principles

Further reading

Appendix E Drucker’s stability postulate

Further reading

Appendix F The associated flow rule

Further reading

Appendix G A uniqueness theorem for elastic–plastic deformation

Further reading

Appendix H Theorems of limit analysis

Further reading

Appendix I Limit analysis and limiting equilibrium

Further reading

Index

The users who browse this book also browse