Variational Methods in Mechanics

by Toshio Mura, Tatsuhito Koya

Overview

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.

Product Details

ISBN-13:	9780195068306
Publisher:	Oxford University Press
Publication date:	08/13/1992
Edition description:	New Edition
Pages:	256
Product dimensions:	6.38(w) x 9.56(h) x 0.97(d)

About the Author

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 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