Plasticity and GeomechanicsCambridge University Press, 22.08.2005 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. |
Inhalt
| 1 | |
2 Elastic and inelastic material behaviour | 27 |
3 Yield | 52 |
4 Plastic flow | 83 |
5 Collapse load theorems | 109 |
6 Slip line analysis | 152 |
7 Work hardening and modern theories for soil behaviour | 185 |
Appendix A NonCartesian coordinate systems | 215 |
Appendix C Principles of virtual work | 241 |
Appendix D Extremum principles | 246 |
Appendix E Druckers stability postulate | 255 |
Appendix F The associated flow rule | 259 |
Appendix G A uniqueness theorem for elasticplastic deformation | 263 |
Appendix H Theorems of limit analysis | 269 |
Appendix I Limit analysis and limiting equilibrium | 277 |
| 279 | |
Häufige Begriffe und Wortgruppen
a-line angle applied associated flow rule assume B-lines behaviour body forces boundary conditions Cam Clay Chapter collapse load collapse mechanism compression consider constant continuum corresponding Coulomb Coulomb yield defined deformation dilatancy displacement displacement vector effective stress elastic equations equilibrium extensional strain failure region fracture friction function geomechanics geotechnical engineering halfspace hardening Hooke's law horizontal increment inelastic isotropic mean stress Mohr circle non-associated flow normal stress Note occur oedometer test particles perfectly plastic plane strain plastic strain rate polar coordinate system principal stress problem referred response result sample shear stress shown in Figure simple simple shear slip line slip surface soil mechanics solution space diagonal stress components stress field stress matrix stress point theory of plasticity traction vector Tresca triaxial two-dimensional velocity vertical volumetric strain yield condition yield criterion yield locus yield surface zero ду дх