## Introduction to the finite element methodProviding a systematic approach and simple introduction ot the finite element method, this self-contained book will enable the reader to obtain a clear understanding of the concepts involved in this traditionally complicated methodology. |

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### Contents

Preface | xi |

Matrix algebra 11 | xxvi |

Direct approach truss analysis 27 | xliii |

Copyright | |

18 other sections not shown

### Common terms and phrases

approximation arbitrary assumed boundary conditions boundary vector fb Chapter collocation method completeness requirements components consider constant constitutive relation coordinate defined deflection denotes derived determined differential equation dimension Dirac's delta function discussion displacement vector divergence theorem elasticity element load vector element shape functions element stiffness matrix entire body established evaluate expression FE equations FE formulation FE method finite element finite element method flux q follows force vector Fourier's law Galerkin method Gauss given global nodal point global shape function illustrated in Figure implies isoparametric elements kinematic Moreover number of nodal obtain one-dimensional heat flow parameters parent domain plane strain plane stress plate polynomial positive region shear force shear stresses shown in Figure solid mechanics solution strains strong form symmetric system of equations temperature gradient three-dimensional traction vector unit length unknown function vector f weak form weak formulation weight function x-axis xy-plane z-direction