Plasticity: A Treatise on Finite Deformation of Heterogeneous Inelastic Materials
Providing 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.
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STRESS AND STRESSRATE MEASURES AND BALANCE
CONTINUUM THEORIES OF ELASTOPLASTICITY
INTEGRATION OF CONTINUUM CONSTITUTIVE
A IDENTITIES FOR SECONDORDER DEVIATORIC
FINITE ELASTOPLASTIC DEFORMATION
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active applied approximate associated assumed atoms becomes calculation Chapter components computational configuration Consider constant constitutive corresponding crystal curve defined deformation rate denoted density depends deviatoric direction discussed dislocation displacement distortion effective elastic energy equations estimate examined example experimental expression field Figure final finite flow flow stress follows force function given hardening Hence includes increment inelastic initial integration kinematical lattice loading loop material measure Mech mechanics metals method motion Nemat-Nasser normal Note numerical observed obtain parameters plastic deformation plastic strain presented pure quantities rate-dependent reference relations relative remains respectively rotation sample shear shear stress shown shows simple slip plane slip systems Solids solution Step strain measure strain rate stress structure Subsection Substitute temperature tensor theory tion unit various vector velocity gradient volume yield yield surface