1st Edition

Notes on Geoplasticity

By William G. Pariseau Copyright 2020
244 Pages
by CRC Press

242 Pages
by CRC Press

242 Pages
by CRC Press

This book is about geoplasticity, solid mechanics of rock, jointed rock and soil beyond the domain of a purely elastic deformation. Plastic deformation is irreversible and begins at the limit to elasticity with any attempt at further loading. Stress at the limit to elasticity is "strength" which is described by a functional relationship amongst stresses, that is, by a yield function or failure... Read more

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

Biography

William Pariseau obtained his B.S. degree in Mining Engineering at the University of Washington (Seattle) following the geological option and subsequently earned a Ph.D. in Mining Engineering at the University of Minnesota with emphasis on rock mechanics and with a minor in applied mathematics. Prior to his Ph.D., he obtained practical experience working for the City of Anchorage, the Alaska Department of Highways, the Mineral Resources Division of the U.S. Bureau of Mines (Spokane), the Anaconda Copper Co. in Butte, Montana, the New York-Alaska Gold Dredging Corp. in Nyac, Alaska. He served in the United States Marine Corps (1953-1956). He maintained a strong association with the former U.S. Bureau of Mines, first with the Pittsburgh Mining Research Center and later with the Spokane Mining Research Center. He is a registered professional engineer and has consulted for a number of commercial and government entities.
Currently, he is a professor emeritus and former holder of the Malcolm McKinnon endowed chair in mining engineering at the University of Utah. He joined the Department in 1971 following academic appointments at the Montana College of Science and Technology and the Pennsylvania State University. He has been a visiting academic at Brown University, Imperial College, London, and at the Commonwealth Science and Industrial Research Organization (CSIRO), Australia. He and colleagues have received a number of rock mechanics awards; he was recognized as a distinguished university research professor at the University of Utah in 1991. In 2010, he was recognized for teaching in the College of Mines and Earth Sciences with the Outstanding Faculty Teaching Award. The same year, he was honored by the Old Timers Club with their prestigious Educator Award. He was honored as a Fellow of the American Rock Mechanics Association in 2015.