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Full Description
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.