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A generalization of the Gurtin’s variational principle in thermoelasticity without energy dissipation of dipolar bodies

  • 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.

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Metadaten
Author:M. Marin, A. Öchsner, E.M. Craciun
DOI:https://doi.org/https://doi.org/10.1007/s00161-020-00873-5
Parent Title (English):Continuum Mechanics and Thermodynamics
Publisher:Springer
Place of publication:Cham
Document Type:Article
Language:English
Year of Completion:2020
Release Date:2021/01/11
Volume:32
Issue:2
First Page:1685
Last Page:1694
Open Access?:nur im Hochschulnetz
Relevance:Peer reviewed Publikation in Master Journal Liste (Clarivate)
Licence (German):License LogoVeröffentlichungsvertrag ohne Print-on-Demand