Description

Book Synopsis
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.

Introduction Finite Element Method

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    A Paperback by Niels Ottosen, Hans Petersson

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      Book details

      Publisher Pearson Education
      Published 6 January 1992
      ISBN-13 9780134738772
      978-0134738772
      ISBN-10 0134738772
      Also in:
      Technology, Engineering & Agriculture Civil engineering, surveying and building Mechanical engineering

      Description

      Book Synopsis
      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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