Duality and symmetry lost in solid mechanics

Autor:	Huy Duong Bui
Rok vydání:	2008
Předmět:	Marketing Conservation law Strategy and Management Duality (optimization) Inverse problem Global symmetry Symmetry (physics) Explicit symmetry breaking Classical mechanics Path integral formulation Media Technology General Materials Science Symmetry breaking Mathematics
Zdroj:	Comptes Rendus Mécanique. 336:12-23
ISSN:	1631-0721
DOI:	10.1016/j.crme.2007.11.018
Popis:	Some conservation laws in Solids and Fracture Mechanics present a lack of symmetry between kinematic and dynamic variables. It is shown that Duality is the right tool to re-establish the symmetry between equations and variables and to provide conservation laws of the pure divergence type which provide true path independent integrals. 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. To cite this article: H.D. Bui, C. R. Mecanique 336 (2008).
Databáze:	OpenAIRE
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