On thermoelastic bodies with inner structure and microtemperatures

被引：107

作者：

Iesan, D. ^{[2
,3
]}

Quintanilla, R. ^{[1
]}

机构：

[1] Polytech Univ Catatonia, Dept Appl Math 2, Terrassa 08222, Spain

[2] Alexandru Ioan Cuza Univ, Dept Math, Iasi 700506, Romania

[3] Acad Romana, O Mayer Inst Math, Iasi 700506, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 354卷 / 01期

关键词：

Thermoelasticity without energy dissipation; Continua with microstructure; Thermoelastic bodies with microtemperatures; Existence theorems; Uniqueness and continuous dependence results; ENERGY-DISSIPATION; MICROSTRUCTURE; GROWTH; HEAT;

D O I：

10.1016/j.jmaa.2008.12.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the first part of this paper we present a linear theory of thermoelastic bodies with microstructure and microtemperatures which permits the transmission of heat as thermal waves at finite speed. The theory is based on the entropy balance postulated by Green and Naghdi [A.E. Green, RM. Naghdi, A re-examination of the basic postulates of thermomechanics, Proc. R. Soc. London A 432 (1991) 171-194]. We consider bodies with microstructure whose microelements can stretch and contract independently of their translations. Then we establish existence and uniqueness results in the context of the dynamic theory. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：12 / 23

页数：12

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