A thermoelastic diffusion theory with microtemperatures and microconcentrations

被引：25

作者：

Aouadi, Moncef ^{[1
]}

Ciarletta, Michele ^{[2
]}

Tibullo, Vincenzo ^{[3
]}

机构：

[1] Univ Carthage, Ecole Natl Ingenieurs Bizerte, Dept Math Appl, BP66,Campus Univ, Menzel Abderrahman 7035, Tunisia

[2] Univ Salerno, Dipartimento Ingn Ind, Fisciano, SA, Italy

[3] Univ Salerno, Dipartimento Matemat, Fisciano, SA, Italy

来源：

JOURNAL OF THERMAL STRESSES | 2017年 / 40卷 / 04期

关键词：

Asymptotic behavior; microconcentrations; microtemperatures; thermoelastic diffusion; well-posedness; MICROSTRUCTURE; BODIES; MODEL;

D O I：

10.1080/01495739.2016.1225271

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：486 / 501

页数：16

共 34 条

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