Fundamentals Of Plasticity In Geomechanics: A Concise Overview of Soil/Rock Plasticity
If you are interested in learning about the basic concepts and applications of plasticity theory in geomechanics, you may want to check out the book Fundamentals Of Plasticity In Geomechanics by S. Pietruszczak. This book is a concise, yet reasonably comprehensive, introduction to the broad area of inelastic response of geomaterials.
The book covers the following topics:
The basic concepts and fundamental postulates of plasticity theory.
The elastic-perfectly plastic formulations in geomechanics, such as the Mohr-Coulomb and Drucker-Prager criteria.
The isotropic strain-hardening framework and isotropic-kinematic hardening rules, formulated within the context of bounding surface plasticity.
The basic techniques for numerical integration of constitutive equations.
The procedures for limit analysis, including applications of lower and upper bound theorems.
The description of inherent anisotropy in geomaterials, such as critical state soil mechanics and kinematic hardening models.
The experimental response of geomaterials, such as stress-strain curves, failure envelopes, and cyclic loading behavior.
The book is intended primarily for Ph.D./M.Sc. students as well as researchers working in the areas of soil/rock mechanics. It may also be of interest to practicing engineers familiar with established notions of contemporary continuum mechanics.
You can download a free sample chapter of the book from here [^1^]. You can also purchase the full book from here [^1^] or here [^2^].
Plasticity theory is a branch of continuum mechanics that deals with the irreversible deformation and failure of materials under external loading. Plasticity theory is especially relevant for geomechanics, which is the study of the mechanical behavior of geomaterials, such as soils and rocks. Geomaterials are often subjected to complex loading conditions, such as shear, compression, tension, and cyclic loading, that can induce plastic deformation and failure.
Plasticity theory provides a framework to model the inelastic response of geomaterials and to predict their strength and stability. Plasticity theory can also help to understand the fundamental mechanisms of soil/rock deformation and failure, such as slip, dilation, localization, and strain softening. Plasticity theory can be applied to various geomechanical problems, such as slope stability, foundation design, tunneling, excavation, earthquake engineering, and soil improvement.
However, plasticity theory also poses some challenges and limitations for geomechanics. For instance, plasticity theory requires the specification of a yield criterion, which defines the onset of plastic deformation; a flow rule, which defines the direction of plastic deformation; and a hardening rule, which defines the evolution of the yield surface. These constitutive relations are often difficult to determine for geomaterials, due to their heterogeneity, anisotropy, nonlinearity, and dependency on stress history and strain rate. Moreover, plasticity theory does not account for some important phenomena in geomechanics, such as fracture, damage, creep, and strain localization. aa16f39245