In this note we prove the impossibility of the localization in time of the solutions of the linear thermoelasticity with voids. This means that the only solution for this problem that vanishes after a finite time is the null solution. From a thermomechanical point of view, this result says that the
On uniqueness and reciprocity in linear thermoelasticity of materials with voids
β Scribed by Michele Ciarletta; Antonio Scalia
- Publisher
- Springer Netherlands
- Year
- 1993
- Tongue
- English
- Weight
- 519 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0374-3535
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β¦ Synopsis
Al~traet. A linear thermoelastic theory of materials with voids is considered. First, we establish a uniqueness theorem with no definiteness assumption on the elasticities and in the absence of restriction that the conductivity tensor is positive definite. Then, we establish a basic relation which leads in a simple manner to the reciprocal theorem and to another uniqueness result. Some applications of the reciprocity relation are presented.
π SIMILAR VOLUMES
In the context of the linear theory of homogeneous and isotropic elastic materials with voids, an initial-boundary-value problem in terms of stress and volume fraction fields is formulated and the uniqueness of its solution established.
In the context of the linear theory of thermoelasticity without energy dissipation for homogeneous and isotropic materials, the uniqueness of solution of a natural initial, mixed boundary value problem is proved. The proof depends on an equation of energy balance formulated entirely in terms of temp