Variational methods in mechanics
著者
書誌事項
Variational methods in mechanics
Oxford University Press, c1992
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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 principal 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.
目次
- 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
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