Journal
JOURNAL OF THERMAL STRESSES
Volume 40, Issue 4, Pages 486-501Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/01495739.2016.1225271
Keywords
Asymptotic behavior; microconcentrations; microtemperatures; thermoelastic diffusion; well-posedness
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Funding
- Dipartimento di Ingegneria Industriale, Universita degli Studi di Salerno
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This article is concerned with a nonlinear theory of thermodynamics for elastic materials in which the particles are subjected to classical displacement, temperature, and mass diffusion fields and whose microelements possess microtemperatures and microconcentrations. The equations of the linear theory are also obtained. It is shown that there exists coupling between temperature, chemical potential, microtemperatures, and microconcentrations even for isotropic bodies. With the help of the semigroup theory of linear operators, we prove the well-posedness of the linear anisotropic problem and we study the asymptotic behavior of the solutions.
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