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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
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George Z Voyiadjis, Peter I Kattan - 2006 - Mechanics of Advanced Materials and Structures
I Temizer, T I Zohdi - 2007 - Computational Mechanics
Sia Nemat-Nasser, Alireza V Amirkhizi - 2005 - Wave Motion
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JE Guilkey, TB Harman, B Banerjee - 2007 - Computers and Structures
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