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


This 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: for finite element analysis, checking computed results for errors, and revising an as needed.

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

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    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
  • Citation

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