 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
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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), 935-946 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
6 |
Pages |
935-946 |
| 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, pr-t akad. Lavrentyeva 15, Novosibirsk, 630090, Russia, rem@hydro.nsc.ru) |
| Abstract |
We consider the N-dimensional (N=2 or 3) model of a one-dimensional 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 Cherepanov-Rice integral for curvilinear cracks. |
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|
| Received |
25 April 2005 |
| Link to Fulltext |
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