Plasticity: A Treatise on Finite Deformation of Heterogeneous Inelastic MaterialsProviding a basic foundation for advanced graduate study and research in the mechanics of solids, this treatise develops systematically the fundamentals of finite inelastic deformations of heterogeneous materials. The book combines the mathematical precision of solid mechanics with the physics-based micro-structural knowledge of materials science, presenting a coherent picture of finite inelastic deformation of single and polycrystalline metals. |
Contents
27 | 80 |
Distinct Eigenvalues | 86 |
28 | 96 |
31 | 139 |
CONTINUUM THEORIES OF ELASTOPLASTICITY | 143 |
68 | 217 |
INTEGRATION OF CONTINUUM CONSTITUTIVE | 285 |
A IDENTITIES FOR SECONDORDER DEVIATORIC | 375 |
FINITE ELASTOPLASTIC DEFORMATION | 381 |
A MILLER INDICES | 498 |
AVERAGE QUANTITIES AND HOMOGENIZATION | 595 |
A CALCULATION OF THE ESHELBY TENSOR | 656 |
and High Strain Rates | 681 |
CITED AUTHORS | 715 |
723 | |
Other editions - View all
Plasticity: A Treatise on Finite Deformation of Heterogeneous Inelastic ... S. Nemat-Nasser No preview available - 2009 |
Plasticity: A Treatise on Finite Deformation of Heterogeneous Inelastic ... S. Nemat-Nasser No preview available - 2004 |
Common terms and phrases
a₁ backstress Chapter coefficient components configuration conjugate consider constitutive equations constitutive relations continuum coordinate corresponding crystal curve defined deformation gradient deformation rate Denote deviatoric deviatoric stress dilatancy dislocation displacement E₁ effective stress eigenvalues eigenvector elastic elastoplastic equations experimental Figure finite flow stress follows frictional function given granular materials Hence inelastic initial integration isotropic Jaumann rate kinematical Kirchhoff stress linear Mech metals Nemat-Nasser noncoaxiality normal obtain parameters plane plastic deformation plastic strain rate radial-return method rate-dependent rectangular Cartesian rotation second-order tensors Section shear shear stress simple shearing slip solution spin spin tensors strain increment strain measure stress difference stress measure stress rate Subsection Substitution symmetric t₁ tantalum temperature theory timestep tion tractions values variational vector velocity gradient yield surface λ₁ др