Elastoplasticity TheoryUnderstanding the elastoplastic deformation of metals and geomaterials, including the constitutive description of the materials and analysis of structure undergoing plastic deformation, is an essential part of the background required by mechanical, civil, and geotechnical engineers as well as materials scientists. However, most books address the su |
Contents
| 3 | |
2 KINEMATICS OF DEFORMATION | 27 |
3 KINETICS OF DEFORMATION | 55 |
4 THERMODYNAMICS OF DEFORMATION | 79 |
5 FINITE STRAIN ELASTICITY | 101 |
6 RATETYPE ELASTICITY | 129 |
7 ELASTIC STABILITY | 147 |
8 ELASTOPLASTIC CONSTITUTIVE FRAMEWORK | 173 |
10 PLASTIC STABILITY | 303 |
11 MULTIPLICATIVE DECOMPOSITION | 373 |
12 CRYSTAL PLASTICITY | 429 |
13 MICROTOMACRO TRANSITION | 493 |
14 POLYCRYSTALLINE MODELS | 543 |
Author Index | 623 |
| 629 | |
9 PHENOMENOLOGICAL PLASTICITY | 217 |
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Common terms and phrases
analysis Appl Cauchy stress components condition constitutive equations corresponding current configuration cycle dE(n decomposition defined deformation gradient deformation tensor deformation theory deformed configuration derived deviatoric dT(n eigenmode elastic moduli elastic unloading elastic-plastic elastoplastic expressed fourth-order tensor function gives grain hardening rate Hill inelastic inequality infinitesimal intermediate configuration invariants isotropic kinematically kinematically admissible Kirchhoff stress lattice Lubarda macroscopic material matrix Mech nominal stress nonlinear öE(n Phys plane plastic deformation plastic loading polycrystalline rate of deformation rate-independent rigid-plastic rotation scalar second-order tensor shear stress slip rates slip systems smooth yield surface Solid Mechanics Solids Struct spin spin tensor strain energy strain measures strain rate strain space strain tensors stress and strain stress increment stress rate stress space stress tensor substitution into Eq symmetric theorem theory of plasticity trace product uniqueness vector velocity field vertex yield surface