Variational principles for linear elastodynamics
โ Scribed by M. E. Gurtin
- Publisher
- Springer
- Year
- 1964
- Tongue
- English
- Weight
- 785 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0003-9527
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๐ SIMILAR VOLUMES
Two minimum principles which take into account inhomogeneous initial conditions are presented within the context of the linear dynamic theory of elasticity. One principle, formulated in terms of displacements alone, is the dynamic counterpart to the static principle of minimum potential energy; the
Two principles are basic in the variational formulations of elasticity. Green's "variation for displacements" leads to the principle of minimum potential energy, whereas Castigliano's "variation for stresses" leads to the principle of minimum complementary energy. In the small vibration of elastic b