## Elasticity and Plasticity of Large Deformations: An IntroductionNonlinear Continuum Mechanics is a rapidly growing field of research. Since the last edition of this book, many important results in this field have been published. This new edition refers to the most important results. The part on hyperelastic models and anisotropic yield criteria has been enlarged and an outlook on |

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### Contents

1 | |

3 | |

2 Kinematics | 91 |

3 Balance Laws
| 121 |

4 The Principles of Material Theory | 153 |

5 Internal Constraints
| 167 |

6 Elasticity | 177 |

### Other editions - View all

Elasticity and Plasticity of Large Deformations: An Introduction Albrecht Bertram Limited preview - 2008 |

Elasticity and Plasticity of Large Deformations: an introduction Albrecht Bertram Limited preview - 2005 |

Elasticity and Plasticity of Large Deformations: An Introduction Albrecht Bertram Limited preview - 2007 |

### Common terms and phrases

2nd-order tensors anisotropic arbitrary assume basis body called CAUCHY stresses CAUCHY´s CLAUSIUS-DUHEM inequality components condition COOS current placement decomposition deformation gradient depend derivative det(F determined deviatoric differential eigenvalues eigenvectors Elap elastic law elastic ranges equation equivalent stress EUCLIDean EUCLIDean transformations EULERean finite generalised grad hardening rule holds hyperelastic IIIB inner product internal constraints Inv+ invertible isomorphic isotropic isotropic tensor-function linear mapping mass density material functional motion obtain Orth+ PISM principal invariants principle Psym reduced form reference placement representation respect rotation scalar SGen shear simple shear skew slip systems space spatial strain tensor symmetric tensors symmetry group symmetry transformations T2PK tensor field tetrad Theorem theory thermo-elastic tion Unim+ variables vector field velocity yield criterion yield limit zero