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Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack

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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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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    E. M. Rudoy

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    E. M. Rudoy

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Correspondence to E. M. Rudoy.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 52, No. 2, pp. 114–127, March–April, 2011.

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Rudoy, E.M. Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack. J Appl Mech Tech Phy 52, 252–263 (2011). https://doi.org/10.1134/S0021894411020131

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  • DOI: https://doi.org/10.1134/S0021894411020131

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