Canonical formulation and conservation laws of thermoelasticity without dissipation

被引：23
|
作者：
Kalpakides, VK [1 ]
Maugin, GA
机构：
[1] Univ Ioannina, Dept Math, Div Appl Math & Mech, GR-45110 Ioannina, Greece
[2] Univ Paris 06, Lab Modelisat & Mecan, F-75252 Paris 05, France
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2004年 / 53卷 / 03期
关键词：
symmetries; Noether's theorem; conservation laws; configurational mechanics; Hamilton's principle; thermoelasticity;
D O I：
10.1016/S0034-4877(04)90024-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This work is concerned with the derivation of conservation laws for the Green-Naghdi theory of nonlinear thermoelasticity without dissipation. The lack of dissipation allows for a variational formulation which is used for the application of Noether's theorem. The balance laws on the material manifold are derived and the exact conditions under which they hold are rigorously studied. Also, the relationship with the "classical" theory is examined.
引用
收藏
页码：371 / 391
页数：21
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