Notes on Geoplasticity

This book opens the door to the important subject of geoplasticity, to the engineering world of geomechanics beyond elasticity. It will be of interest to civil, geological and mining engineers, particularly those involved in reliable design of excavations and foundations beyond elasticity, especially in jointed rock.

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