Variational Methods in Mechanics

Variational Methods in Mechanics

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Description

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.show more

Product details

  • Hardback | 256 pages
  • 161.8 x 244.6 x 24.6mm | 632.01g
  • Oxford University Press Inc
  • New York, United States
  • English
  • New.
  • line illustrations
  • 0195068300
  • 9780195068306

About Toshio Mura

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.show more

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 Problemsshow more