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Variational Methods in Mechanics

Toshio Mura and Tatsuhito Koya

Publication Date - August 1992

ISBN: 9780195068306

256 pages
6-1/8 x 9-1/4 inches

Retail Price to Students: $234.99


The recent success and popularity of the finite-element method, crucial to solving mathematical problems in many branches of engineering today, is based on the variational methods discussed in this textbook. The author, Toshio Mura, is a distinguished engineer and applied mathematician who brings to the work a highly pragmatic approach designed to facilitate teaching the subject, which is essential for all materials science and mechanical and civil engineering students. In addition to all basic topics, the authors cover state-of-the-art research findings, such as those involving composite materials.

About the Author(s)

Toshio Mura is Walter Murphy Professor of Civil Engineering, Northwestern University. A pioneer of micromechanics, he is a member of the National Academy of Engineering and a fellow of the American Academy of Mechanics.
Tatsuhito Koya is Post Doctor, Department of Civil Engineering, Northwestern University.

Table of Contents

    1. Maxima and Minima of Functions
    2. The Euler Equations I
    3. Ritz's Method
    4. The Euler Equations II
    5. Boundary Conditions
    6. Subsidiary Conditions
    7. Continuity Conditions
    8. Galerkin's Method
    9. Minimizing Sequence
    10. Transformation in Variational Problems
    11. Elasticity
    12. Castigliano's Theorem
    13. Plasticity
    14. Eigenvalue Problems
    15. Variational Problems and Eigenvalues
    16. Direct Methods or Eigenvalue Problems
    17. The Finite Element Method
    18. General Use of the Lagrange Multipliers
    19. Miscellaneous Problems