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Thermoelasticity of Initially Stressed Bodies with Voids: A Domain of Influence

1
Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093 Brasov, Romania
2
Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519 Zagazig, Egypt
3
Department of Mechanical Engineering, Transilvania University of Brasov, 500096 Brasov, Romania
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(4), 573; https://doi.org/10.3390/sym11040573
Received: 9 April 2019 / Revised: 16 April 2019 / Accepted: 18 April 2019 / Published: 19 April 2019
(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
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PDF [253 KB, uploaded 19 April 2019]

Abstract

In our study, we will extend the domain of influence in order to cover the thermoelasticity of initially stressed bodies with voids. In what follows, we prove that, for a finite time t > 0 , the displacement field u i , the dipolar displacement field φ j k , the temperature θ and the change in volume fraction ϕ generate no disturbance outside a bounded domain B. View Full-Text
Keywords: initially stressed bodies; dipolar structure; voids; volume fraction; domain of influence initially stressed bodies; dipolar structure; voids; volume fraction; domain of influence
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Marin, M.; Othman, M.I.A.; Vlase, S.; Codarcea-Munteanu, L. Thermoelasticity of Initially Stressed Bodies with Voids: A Domain of Influence. Symmetry 2019, 11, 573.

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