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Concepts and Applications of Finite Element Analysis, 4th Edition



Concepts and Applications of Finite Element Analysis, 4th Edition

Robert D. Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt

ISBN: 978-0-471-35605-9 October 2001 736 Pages


Authors Cook, Malkus, Plesha and Witt have revised Concepts and Applications of Finite Element Analysis, a text suited for both introductory and more advanced courses in Finite Element Analysis. The fourth edition of this market leading text provides students with up-to-date coverage and clear explanations of finite element analysis concepts and modeling procedures.

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One-Dimensional Elements, Computational Procedures.

Basic Elements.

Formulation Techniques: Variational Methods.

Formulation Techniques: Galerkin and Other Weighted Residual Methods.

Isoparametric Elements.

Isoparametric Triangles and Tetrahedra.

Coordinate Transformation and Selected Analysis Options.

Error, Error Estimation, and Convergence.

Modeling Considerations and Software Use.

Finite Elements in Structural Dynamics and Vibrations.

Heat Transfer and Selected Fluid Problems.

Constaints: Penalty Forms, Locking, and Constraint Counting.

Solid of Revolution.

Plate Bending.


Nonlinearity: An Introduction.

Stress Stiffness and Buckling.

Appendix A: Matrices: Selected Definition and Manipulations.

Appendix B: Simultaneous Algebraic Equations.

Appendix C: Eigenvalues and Eigenvectors.


  • The entire text has been thoroughly revised to ensure coverage is truly up-to-date, especially in the treatment of elastic-plastic problems, error estimates, and convergence.
  • Increased coverage of modeling.
  • Greater emphasis on practical use and applications.
  • Addition of example applications each with a critique of the solution.
  • New introductory chapter provides early exposure to basic simple concepts of finite element analysis, modeling, and checking of computer results.
  • Finite Element Analysis software is now available to accompany the text. The Educational Version of VisualFEA (developed at Cornell University) is available to be bundled at deep discount to students.
  • Coverage is up-to-date without making treatment highly specialized or mathematically difficult.
  • Theory is presented by "ramping up" from simple concepts; the student is not immediately confronted with unnecessary complexity.
  • Emphasis is on structural mechanics.
  • Heat transfer field problems are addressed.
  • Problems emphasizing planning, analysis and checking results for errors can be found in many chapters.