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Open AccessArticle

Some Results in Green–Lindsay Thermoelasticity of Bodies with Dipolar Structure

by Marin Marin 1,†, Eduard M. Craciun 2,*,† and Nicolae Pop 3,†
1
Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania
2
Faculty of Mechanical, Industrial and Maritime Engineering, Ovidius University of Constanta, 900527 Constanta, Romania
3
Institute of Solid Mechanics of Romanian Academy, 010141 Bucharest, Romania
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(4), 497; https://doi.org/10.3390/math8040497
Received: 16 March 2020 / Revised: 28 March 2020 / Accepted: 29 March 2020 / Published: 2 April 2020
(This article belongs to the Special Issue Applied Mathematics and Solid Mechanics)
The main concern of this study is an extension of some results, proposed by Green and Lindsay in the classical theory of elasticity, in order to cover the theory of thermoelasticity for dipolar bodies. For dynamical mixed problem we prove a reciprocal theorem, in the general case of an anisotropic thermoelastic body. Furthermore, in this general context we have proven a result regarding the uniqueness of the solution of the mixed problem in the dynamical case. We must emphasize that these fundamental results are obtained under conditions that are not very restrictive. View Full-Text
Keywords: thermoelasticity; dipolar bodies; Green–Lindsay theory; reciprocal result; uniqueness thermoelasticity; dipolar bodies; Green–Lindsay theory; reciprocal result; uniqueness
MDPI and ACS Style

Marin, M.; Craciun, E.M.; Pop, N. Some Results in Green–Lindsay Thermoelasticity of Bodies with Dipolar Structure. Mathematics 2020, 8, 497.

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