## Plasticity: theory and application |

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### Contents

Introduction | 1 |

The Stress Tensor | 24 |

The Strain Tensor | 44 |

Copyright | |

11 other sections not shown

### Common terms and phrases

assumed beam boundary conditions calculation characteristics collapse load compatibility equation components compression computed consider constant coordinates creep strains cross section cylinder deformation deformation theory determined deviatoric differential equation discussed disk displacements elastic solution elastoplastic equal equilibrium equations equivalent plastic strain equivalent stress follows function given by equation Hooke's law increment of load j8 line linear strain hardening lower bound maximum shear mechanism method Mohr's 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 Substituting successive approximations symmetry tensile tension Theory of Plasticity total strains Tresca criterion uniaxial values vector velocity yield locus yield point yield stress yield surface zero