Title: Variational methods in mechanics /
Authors: Mura, Toshio, 1925-; Koya, Tatsuhito.
Publisher: Oxford University Press,
Year: 1992
Subjects: Finite element method.; Mechanics, Applied Mathematics.; Variational principles.
Contents: 1. Maxima and Minima of a Function -- 2. The Euler Equation I -- 3. Ritz's Method -- 4. The Euler Equation II -- 5. Boundary Conditions -- 6. Subsidiary Conditions -- 7. Continuity Conditions -- 8. Galerkin's Method -- 9. Minimizing Sequence -- 10. Transformations in Variational Problems -- 11. Elasticity -- 12. Castigliano's Theorem -- 13. Plasticity -- 14. Eigenvalue Problem -- 15. Variational Principles and Eigenvalues -- 16. Direct Methods for Eigenvalue Problems -- 17. The Finite Element Method -- 18. General Use of the Lagrange Multiplier -- 19. Miscellaneous Problems -- 20. More Numerical Methods -- 21. Bounds for the Overall Properties of Anisotropic Composites -- Appendix: Mathematica Program Listings.