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The Stress Tensor
The Strain Tensor
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assumed beam boundary conditions calculation characteristics collapse load compatibility equation components compression computed consider constant coordinates creep strains cross section cylinder deformation theory determined deviatoric differential equation discussed disk displacements elastic solution elastic strains elastoplastic equal equilibrium equations equivalent plastic strain equivalent stress example follows function given by equation gives Hooke's law increment of load j8 line lower bound maximum shear mechanism method Mohr's circle obtained plane strain plane stress plastic deformation plastic flow plastic strain increments plastic zone plate Poisson's ratio Prandtl-Reuss relations pressure principal directions principal stresses radius reference region rotating shear strain shear stress shown in Figure slip lines slip-line field solved sphere strain tensor strain-hardening stress and strain stress-strain curve stress-strain relations stresses acting Substituting successive approximations symmetry tensile total strains Tresca criterion uniaxial values vector velocity yield point yield stress yield surface zero