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A generalization of the Gurtin's variational principle in thermoelasticity without energy dissipation of dipolar bodies.
- Source :
-
Continuum Mechanics & Thermodynamics . Nov2020, Vol. 32 Issue 6, p1685-1694. 10p. - Publication Year :
- 2020
-
Abstract
- In our present paper, we approach the mixed problem with initial and boundary conditions, in the context of thermoelasticity without energy dissipation of bodies with a dipolar structure. Our first result is a reciprocal relation for the mixed problem which is reformulated by including the initial data into the field equations. Then, we deduce a generalization of Gurtin's variational principle, which covers our generalized theory for bodies with a dipolar structure. It is important to emphasize that both results are obtained in a very general context, namely that of anisotropic and inhomogeneous environments, having a center of symmetry at each point. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VARIATIONAL principles
*ENERGY dissipation
*GENERALIZATION
*THERMOELASTICITY
Subjects
Details
- Language :
- English
- ISSN :
- 09351175
- Volume :
- 32
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Continuum Mechanics & Thermodynamics
- Publication Type :
- Academic Journal
- Accession number :
- 146105033
- Full Text :
- https://doi.org/10.1007/s00161-020-00873-5