Spatial variational principles in continuum mechanics
β Scribed by Gianfranco Capriz
- Publisher
- Springer
- Year
- 1984
- Tongue
- English
- Weight
- 416 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For problems of the mechanics of an anisotropic inhomogeneous continuum, theorems are given concerning the uninterrupted symmetrical and antisymmetrical analytical continuation of the solution through the plane part of the boundary surface of the medium. Theorems are given for two types of mechanics
We argue that there are four basic forms of the variational principles of mechanics: Hamilton's least action principle (HP), the generalized Maupertuis principle (MP), and their two reciprocal principles, RHP and RMP. This set is invariant under reciprocity and Legendre transformations. One of these
Variational principles, generalizing the classical d'Alembert-Lagrange, HΓΆlder, and Hamilton-Ostrogradskii principles, are established. After the addition of anisotropic dissipative forces and taking the limit, when the coefficient of viscous friction tends to infinity, these variational principles