Conservation laws, duality and symmetry loss in solid mechanics

被引:0
|
作者
Huy Duong Bui
机构
[1] Ecole Polytechnique,Department of Mechanics, Laboratory of Solid Mechanics
[2] Lamsid/CNRS Electricite de France,undefined
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关键词
Conservation laws; Duality; Symmetry; Symmetry loss; Inverse problem;
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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.
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页码:163 / 172
页数:9
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