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Behavior of energies in strain gradient thermoelasticity of bodies with microtemperatures

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Abstract

In this study, we approach the strain gradient thermoelasticity of bodies with microtemperatures. We define the internal energy corresponding to an arbitrary solution of the mixed problem with boundary and initial values, considered in the context of strain gradient thermoelasticity of bodies with microtemperatures. The Cesaro means of different parts of the internal energy are considered. In our main result, we prove the asymptotic equipartition of the strain and kinetic energies, in the case \(t\rightarrow \infty \).

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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. Department of Mechanical Engineering, Transilvania University of Brasov, 500036, Brasov, Romania

    Sorin Vlase

Authors
  1. Marin Marin
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  2. Andreas Öchsner
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  3. Sorin Vlase
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Correspondence to Marin Marin.

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Communicated by Marcus Aßmus.

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Marin, M., Öchsner, A. & Vlase, S. Behavior of energies in strain gradient thermoelasticity of bodies with microtemperatures. Continuum Mech. Thermodyn. 33, 877–891 (2021). https://doi.org/10.1007/s00161-020-00914-z

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  • DOI: https://doi.org/10.1007/s00161-020-00914-z

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