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 MILLER INDICES
AVERAGE QUANTITIES AND HOMOGENIZATION
A CALCULATION OF THE ESHELBY TENSOR
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active applied associated assumed becomes calculation Chapter components computational configuration consider constant constitutive continuum coordinate corresponding crystal defined deformation rate Denote depends developed direction discussed dislocation displacement distortion dual effective eigenvalues eigenvector elastic element energy equations examined example experimental expression field Figure finite flow follows force function given gradient hardening Hence Hill includes increment independent inelastic initial integral kinematical Kirchhoff stress lattice leads linear loading material Mech mechanics metals method motion Nemat-Nasser normal Note observed obtain parameters plane plastic deformation plastic strain presented principal pure quantities rate-independent reference relations respectively rotation shear shear stress shows slip plane slip systems Solids solution space strain measure strain rate stress stress rate Subsection Substitution symmetric temperature tensor theory tion tractions unit values variational various vector volume yield surface