Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack |
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| Authors: | E M Rudoy |
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| Institution: | 1.Lavrent’ev Institute of Hydrodynamics, Siberian Division,Russian Academy of Sciences,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia |
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| Abstract: | A model of a three-dimensional elastic body containing a rigid inclusion and a crack located on the interface between the
inclusion and the body is considered. Natural boundary conditions are imposed on the crack. A derivative of the energy functional
with respect to the perturbation parameter is derived for an arbitrary, rather smooth perturbation of the domain, in particular,
the Griffith formula is obtained. |
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