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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.
List of 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.
Summary
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.
