  Mechanics of Solids A Journal of Russian Academy of Sciences   Founded
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E. M. Rudoi, "Differentiation of energy functionals in the problem on a curvilinear crack with possible contact between the shores," Mech. Solids. 42 (6), 935946 (2007) 
Year 
2007 
Volume 
42 
Number 
6 
Pages 
935946 
Title 
Differentiation of energy functionals in the problem on a curvilinear crack with possible contact between the shores 
Author(s) 
E. M. Rudoi (Lavrentyev Institute of Hydrodynamics, Siberian Branch of Russian Academy of Sciences, prt akad. Lavrentyeva 15, Novosibirsk, 630090, Russia, rem@hydro.nsc.ru) 
Abstract 
We consider the Ndimensional (N=2 or 3) model of a onedimensional anisotropic elastic body containing a curvilinear or surface crack. On the crack shores, the nonpenetration conditions in the form of inequalities (Signorini type conditions) are posed. For the general form of a sufficiently smooth perturbation of the domain, we obtain the derivative of the energy functional with respect to the perturbation parameter. We derive sufficient conditions for the existence of invariant integrals over an arbitrary closed contour. In particular, we obtain an invariant CherepanovRice integral for curvilinear cracks. 
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Received 
25 April 2005 
Link to Fulltext 
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