## Classical and Computational Solid MechanicsThis invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions. The classical part is a revision of the well-known text Foundations of Solid Mechanics, with a much-expanded discussion on the theories of plasticity and large elastic deformation with finite strains. The computational part is all new and is aimed at solving many major linear and nonlinear boundary-value problems. |

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### Contents

INTRODUCTION | 1 |

TENSOR ANALYSIS | 30 |

STRESS TENSOR | 66 |

ANALYSIS OF STRAIN | 97 |

CONSERVATION LAWS | 127 |

ELASTIC AND PLASTIC BEHAVIOR | 138 |

LINEARIZED THEORY OF ELASTICITY | 203 |

SOLUTIONS OF PROBLEMS IN LINEARIZED | 238 |

THERMOELASTICITY | 456 |

VISCOELASTICITY | 487 |

LARGE DEFORMATION | 514 |

INCREMENTAL APPROACH TO SOLVING | 587 |

FINITE ELEMENT METHODS | 624 |

MIXED AND HYBRID FORMULATIONS | 756 |

FINITE ELEMENT METHODS FOR PLATES | 795 |

FINITE ELEMENT MODELING OF NONLINEAR | 848 |

TWODIMENSIONAL PROBLEMS | 280 |

VARIATIONAL CALCULUS ENERGY THEOREMS | 313 |

HAMILTONS PRINCIPLE WAVE PROPAGATION | 379 |

ELASTICITY AND THERMODYNAMICS | 407 |

IRREVERSIBLE THERMODYNAMICS | 428 |

873 | |

909 | |

919 | |

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### Common terms and phrases

applied approximate arbitrary assume base vectors beam bending body force boundary conditions called Cartesian coordinates components computational configuration consider constant constitutive equations contravariant coordinate system corresponding covariant curve defined in Eq deformation degrees-of-freedom denote derived discussed displacement domain elastic element matrices entropy equation of motion field variables finite element method formulation given in Eq global gradient heat Hence Hooke's law hybrid incompressible increment infinitesimal isotropic Lagrangian linear linear elastic load material matrix metric tensor modulus nodes nonlinear normal obtain parameter plane strain plane stress plastic plate Poisson's ratio polynomial potential problem quadratic quadrilateral respectively rigid rotation satisfy shape functions shear strain shell shown in Fig solution solved strain energy strain tensor stress tensor stress-strain surface tractions symmetric temperature theorem theory tion transformation undeformed unit vanish variational principles velocity viscoelastic wave yield surface zero