Behavior of energies in strain gradient thermoelasticity of bodies with microtemperatures

被引：2
|
作者：
Marin, Marin [1 ]
Oechsner, Andreas [2 ]
Vlase, Sorin [3 ]
机构：
[1] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov 500036, Romania
[2] Esslingen Univ Appl Sci, Fac Mech Engn, D-73728 Esslingen, Germany
[3] Transilvania Univ Brasov, Dept Mech Engn, Brasov 500036, Romania
来源：
CONTINUUM MECHANICS AND THERMODYNAMICS | 2021年 / 33卷 / 04期
关键词：
Strain gradient thermoelasticity; Microtemperature; Cesaro means; Equipartition; Strain energy; Kinetic energy; LAGRANGE IDENTITY METHOD; EQUIPARTITION; EQUATIONS; BOUNDARY;
D O I：
10.1007/s00161-020-00914-z
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this study, we approach the strain gradient thermoelasticity of bodies with microtemperatures. We define the internal energy corresponding to an arbitrary solution of the mixed problem with boundary and initial values, considered in the context of strain gradient thermoelasticity of bodies with microtemperatures. The Cesaro means of different parts of the internal energy are considered. In our main result, we prove the asymptotic equipartition of the strain and kinetic energies, in the case t ->infinity.
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页码：877 / 891
页数：15
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