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

Author

Listed:
  • Marin Marin

    (Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania
    These authors contributed equally to this work.)

  • Eduard M. Craciun

    (Faculty of Mechanical, Industrial and Maritime Engineering, Ovidius University of Constanta, 900527 Constanta, Romania
    These authors contributed equally to this work.)

  • Nicolae Pop

    (Institute of Solid Mechanics of Romanian Academy, 010141 Bucharest, Romania
    These authors contributed equally to this work.)

Abstract

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.

Suggested Citation

  • Marin Marin & Eduard M. Craciun & Nicolae Pop, 2020. "Some Results in Green–Lindsay Thermoelasticity of Bodies with Dipolar Structure," Mathematics, MDPI, vol. 8(4), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:497-:d:340432
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