Concepts and Applications of Finite Element Analysis – Robert Cook – 4th Edition


This book is an accessible introduction to finite element analysis. The exposition moves gradually from simplke concepts to more advanced theory, with the goal of making competent applications based on sold understanding. In addition to theory, considerable attention is given to practical matters: modeling for finite element analysis, checking computed results for errors, and revising an analysis as needed.

Basic theory is clearly explained. Includes over 500 analytical problems. Structural is emphasized. Dynamics, nonlinearity, and heat are treated. Includes application examples with critiques.

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Table of Contents

  1. Introduction

  2. One-Dimensional Elements, Computational Procedures

  3. Basic Elements

  4. Formulation Techniques: Variational Methods

  5. Formulation Techniques: Galerkin and Other Weighted Residual Methods

  6. Isoparametric Elements

  7. Isoparametric Triangles and Tetrahedra

  8. Coordinate Transformation and Selected Analysis Options

  9. Error, Error Estimation, and Convergence

  10. Modeling Considerations and Software Use

  11. Finite Elements in Structural Dynamics and Vibrations

  12. Heat Transfer and Selected Fluid Problems

  13. Constaints: Penalty Forms, Locking, and Constraint Counting

  14. Solid of Revolution

  15. Plate Bending

  16. Shells

  17. Nonlinearity: An Introduction

  18. Stress Stiffness and Buckling

  • Appendix A: Matrices: Selected Definition and Manipulations

  • Appendix B: Simultaneous Algebraic Equations

  • Appendix C: Eigenvalues and Eigenvectors

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