On the theory of thermoelasticity with microtemperatures

被引：42

作者：

Chirita, Stan ^{[1
,2
]}

Ciarletta, Michele ^{[3
]}

D'Apice, Ciro ^{[3
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

[2] Acad Romana, Octav Mayer Math Inst, Iasi 700505, Romania

[3] Univ Salerno, I-84084 Fisciano, SA, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 397卷 / 01期

关键词：

Thermoelasticity with microtemperatures; Uniqueness results; Partition of energy; Lagrange identity method; LINEAR THERMOELASTICITY; HEAT-CONDUCTION; INNER STRUCTURE; BODIES; MICROSTRUCTURE; STABILITY; SOLIDS;

D O I：

10.1016/j.jmaa.2012.07.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the linear theory of thermoelastic materials with inner structure whose particles, in addition to the classical displacement and temperature fields, possess microtemperatures. We discuss uniqueness results within the context of the dynamic boundary value problems under very mild assumptions upon the thermoelastic profile. We also establish the relations describing the partition of the total energy in terms of the Cesaro means of various types of component energies. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：349 / 361

页数：13

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