Thermodynamic restrictions, free energies and Saint-Venants principle in the linear theory of viscoelastic materials with voids
✍ Scribed by M. Ciarletta; S. Chiritá
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 366 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0020-7683
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✦ Synopsis
This paper examines the thermodynamic restrictions imposed by the second law of thermodynamics upon the relaxation functions in the linear theory of viscoelastic materials with voids[ On this basis the existence of a maximal free energy is proved by means of a constructive method[ Further\ we use such a maximal free energy in order to establish a principle of Saint!Venant type in the dynamics of viscoelastic materials with voids[ A uniqueness theorem is proved for _nite and in_nite bodies and we note that it is free of any kind of a priori assumptions concerning the orders of growth of solutions at in_nity[ Þ 0888 Elsevier Science Ltd[ All rights reserved[