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

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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.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036, Brasov, Romania

    Marin Marin

  2. Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, 73728, Esslingen, Germany

    Andreas Öchsner

  3. Faculty of Mechanical, Industrial and Maritime Engineering, Ovidius University of Constanta, 900527, Constanţa, Romania

    Eduard M. Craciun

Authors
  1. Marin Marin
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  2. Andreas Öchsner
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  3. Eduard M. Craciun
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Correspondence to Marin Marin.

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Communicated by Andreas Öchsner.

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Marin, M., Öchsner, A. & Craciun, E.M. A generalization of the Gurtin’s variational principle in thermoelasticity without energy dissipation of dipolar bodies. Continuum Mech. Thermodyn. 32, 1685–1694 (2020). https://doi.org/10.1007/s00161-020-00873-5

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  • DOI: https://doi.org/10.1007/s00161-020-00873-5

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