Introduction Finite Element Method, 1st edition

Published by Pearson (June 1, 1992) © 1992

  • Niels Ottosen
  • Hans Petersson
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Title overview

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.

Table of contents

  1. Introduction.
  2. Matrix Algebra.
  3. Direct Approach.
  4. Strong and Weak Formulations - One-dimensional Heat Flow.
  5. Gradient - Gauss' Divergence Theorem - Green Theorem.
  6. Strong and Weak Forms - Two-and Three-Dimensional Heat Flow.
  7. Choice of Approximating Functions for the FE-method - Scalar Problems.
  8. Choice of Weight Function - Weighted Residual Methods.
  9. FE-formulation of One-Dimensional Heat Flow.
  10. FE-formulation of Two-and-Three Dimensional Heat Flow.
  11. Guidelines for Element Meshes and Global Nodal Numbering.
  12. Stresses and Strains.
  13. Linear Elasticity.
  14. FE-formulation of Torsion and Non-circular Shafts.
  15. Approximating Functions for the FE-method - Vector Problems.
  16. FE-formulation of Three-and-Two Dimensional Elasticity.
  17. FE-formulation of Beams.
  18. FE-formulation of Plates.
  19. Isoparametric Finite Elements.
  20. Numerical Integration.

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