Conservation laws, duality and symmetry loss in solid mechanics
by Bui, Huy Duong
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.
DOI: 10.1007/s10704-007-9145-7
Online Date: 10/30/2007
Print publication date: 9/1/2007
View article on SpringerLink
