Notes on Geoplasticity

Introduction 
References 
2 Physical foundations of theory 
2.1 Intact rock response to load 
2.2 Rock joints response to load 
2.3 Jointed rock response to load 
2.4 Equivalent jointed rock models 
2.5 Soil response to load 
References 
3 Elements of three-dimensional theory 
3.1 Stress review 
3.2 Strain review 
3.3 Stress-strain relations 
3.4 Principal stress space 
3.5 Yield functions, failure, and loading criteria 
3.6 Plastic stress-strain laws 
References 
4 Two-dimensional theory (plane strain) 
4.1 Yield envelope in plane strain theory 
4.2 The stress subsystem of equations 
4.3 Regions of constant state, radial shear, and radial stress 
4.4 The velocity subsystem of equations 
4.5 A special plane strain velocity field (streaming flow) 
4.6 Example problems 
4.7 Discontinuities in velocity and stress 
4.8 Envelope solutions 
4.9 Numerical solution of boundary value problems 
References 
5 Limit theorems 
5.1 Lower-bound theorem 
5.2 Upper-bound theorem 
5.3 Example problems 
References 
6 Anisotropy 
6.1 Elasticity 
6.2 Plasticity 
References 
7 Viscoplasticity 
7.1 Some field data 
7.2 Some laboratory data 
7.3 Elastic-viscoplastic models 
7.4 Finite element formulation 
7.5 Example problems 
7.6 Discussion 
References 
8 Poroplasticity 
8.1 Effective stress 
8.2 Poroelastic/plastic models 
8.3 Finite element model 
8.4 Equivalent properties 
8.5 Example problems 
8.6 Discussion 
References 
Epilogue 
References 
Appendix A: Axial symmetry discussion 
A.1 Stress subsystem 
A.2 Discussion of stress 
A.3 Velocity subsystem 
A.4 Discussion of velocity 
Reference 
Appendix B: Finite element review in brief 
B.1 Finite element concept 
B.2 Element equilibrium 
B.3 Global equilibrium 
B.4 Boundary conditions 
B.5 Practical considerations 
References