## Plasticity: theory and engineering applications |

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### Contents

BASIC CONCEPTS AND NOTATIONS | 19 |

FUNDAMENTAL RELATIONS AND GOVERNING | 36 |

VARIATIONAL PRINCIPLES | 88 |

Copyright | |

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applied approximation assume axis bar member bar structures beam bending boundary conditions collapse load complementary energy components constant constitutive equations coordinates corresponding cross-section defined by eq denotes determined differential equation domain elastic limit equal equilibrium equations expressed in terms external loads flow rule forces fully plastic given by eq governing equations Hence Hooke's Law Huber-v limit analysis linear loading process magnitude method normal stresses obtained optimal plane strain plane stress plastic bodies plastic deformations plastic flow plastic hinge plastic limit load plastic moments plate problem relationship residual stresses rigid-perfectly plastic rotation satisfied Section shakedown analysis shear line field shear stresses shell shown in Fig solution static boundary conditions strain and displacement strain increments strain tensor stress and strain stress field stress function stress vector stress-strain tensor theorem theory Tresca yield condition unloading upper bound velocity field viscous yield mechanism yield stress yield surface