Introduction to the Finite Element Method

About this book

Providing 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.

Contents

*Introduction. *Matrix Algebra. *Direct Approach. *Strong and Weak Formulations - One-dimensional Heat Flow. *Gradient - Gauss' Divergence Theorem - Green Theorem. *Strong and Weak Forms - Two-and Three-Dimensional Heat Flow. *Choice of Approximating Functions for the FE-method - Scalar Problems. *Choice of Weight Function - Weighted Residual Methods. *FE-formulation of One-Dimensional Heat Flow. *FE-formulation of Two-and-Three Dimensional Heat Flow. *Guidelines for Element Meshes and Global Nodal Numbering. *Stresses and Strains. *Linear Elasticity. *FE-formulation of Torsion and Non-circular Shafts. *Approximating Functions for the FE-method - Vector Problems. *FE-formulation of Three-and-Two Dimensional Elasticity. *FE-formulation of Beams. *FE-formulation of Plates. *Isoparametric Finite Elements. *Numerical Integration.

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