## Advances in Computational Methods in Structural Mechanics and Design: PapersJohn Tinsley Oden, Ray W. Clough, Yoshiyuki Yamamoto |

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### Contents

Some Aspects of the Mathematical Theory of Finite Elements | 3 |

Some Considerations on Basic Theory for the Finite Element Method | 39 |

On the Effects of Quadrature Errors in the Finite Element Method | 55 |

Copyright | |

29 other sections not shown

### Common terms and phrases

accuracy application approximation assumed axisymmetric beam element behavior bending boundary conditions buckling calculation computer program consistent mass convergence coordinate corresponding crack curved damping defined deflection deformation degrees of freedom derived dimensional displacement method displacement theory displacement vector eigenvalue elastic Elastic-Plastic element stiffness Engineering equilibrium equations error example Figure Finite Element Analysis finite element method finite-element forces formulation fracture fracture mechanics frequency function Geometrically Nonlinear given increment initial integration iteration kinematic linear load mass matrix material Matrix Methods ment mesh Methods in Structural mode NASTRAN nodal points nodes numerical analysis obtained paper parameters plane stress plastic strain plate present problems Proc shear shown in Fig solution procedure solved stability static stiffener stiffness equation stiffness matrix stress analysis stress distribution Structural Analysis Structural Mechanics STRUDL substructure surface technique thermal three-dimensional tion values variational principles vector vibration