Conservation laws, duality and symmetry loss in solid mechanics

被引：4
作者：
Bui, Huy Duong [1 ]
机构：
[1] Ecole Polytech, Lab Solid Mech, Dept Mech, Palaiseau, France
[2] Lamsid CNRS Elect France, Clamart, France
来源：
INTERNATIONAL JOURNAL OF FRACTURE | 2007年 / 147卷 / 1-4期
关键词：
conservation laws; duality; symmetry; symmetry loss; inverse problem;
D O I：
10.1007/s10704-007-9145-7
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The paper deals with conservation laws which are not of the pure divergence type and thus do not provide a path-independent integral for use in Fracture Mechanics. It is shown that Duality is the right tool to re-establish the symmetry between equations and to provide conservation laws of the pure divergence type. The loss of symmetry of some energetic expressions is exploited to derive a new method for solving some inverse problems. In particular, the earthquake inverse problem is solved analytically.
引用
收藏
页码：163 / 172
页数：10
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