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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angle anisotropy assumed average backstress calculated Chapter components compression computational consider constant constitutive equations constitutive relations contact normals continuum coordinate-independent corresponding curve defined deformation gradient deformation rate denoted density deviatoric dilatancy dislocation effective eigenvalues eigenvectors elasticity tensor elastoplastic ellipsoidal equations expression fabric tensor finite deformation flow stress follows frictional function given granular mass granular materials granules hardening Hence incident bar inelastic initial integration isotropic kinematical Kirchhoff stress Lagrangian lattice linear loading matrix Mech Mehrabadi metals microstructure modulus Nemat-Nasser nominal stress rate obtain orientation overall parameters plastic deformation plastic strain rate pressure pulse quantities rate-independent rigid-body rotation sample second-order tensor Section shear strain shear stress shearband simple shearing slip plane slip rate slip systems solid specimen spin spin tensors strain measure stress difference stress tensor Subsection symmetric tantalum temperature theory timestep tion tractions triad vector velocity gradient void ratio volume yield surface