Variational Methods in Mechanics

Hardcover | September 1, 1990

byToshio Mura, Tatsuhito Koya

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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 whobrings 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 involvingcomposite materials.

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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 whobrings to the work a highly pragmatic approach...

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.

other books by Toshio Mura

Micromechanics of defects in solids
Micromechanics of defects in solids

Paperback|Jan 1 1982

$128.95

Format:HardcoverDimensions:256 pages, 9.57 × 6.38 × 0.98 inPublished:September 1, 1990Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0195068300

ISBN - 13:9780195068306

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Table of Contents

1. Maxima and Minima of Functions2. The Euler Equations I3. Ritz's Method4. The Euler Equations II5. Boundary Conditions6. Subsidiary Conditions7. Continuity Conditions8. Galerkin's Method9. Minimizing Sequence10. Transformation in Variational Problems11. Elasticity12. Castigliano's Theorem13. Plasticity14. Eigenvalue Problems15. Variational Problems and Eigenvalues16. Direct Methods or Eigenvalue Problems17. The Finite Element Method18. General Use of the Lagrange Multipliers19. Miscellaneous Problems

Editorial Reviews

"Represents a blend of classical and modern uses of variational methods in engineering mechanics. . . . of interest to material science students, mechanical engineering students, etc." --Mathematical Reviews