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Invariant integrals in a planar problem of elasticity theory for bodies with rigid inclusions and cracks

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Abstract

The article addresses a planar problem of elasticity theory for a body containing a rigid inclusion and a crack at the interface between the elastic matrix and the rigid inclusion. We show that the problem admits J- and M-invariant integrals. In particular, we construct an invariant integral of the Cherepanov-Rice type for rectilinear cracks.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, pr. Lavrent’eva 15, Novosibirsk, 630090, Russia

    E. M. Rudoi

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    E. M. Rudoi

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  1. E. M. Rudoi
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Correspondence to E. M. Rudoi.

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Original Russian Text © E.M. Rudoi, 2012, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2012, Vol. XV, No. 1, pp. 99–109.

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Rudoi, E.M. Invariant integrals in a planar problem of elasticity theory for bodies with rigid inclusions and cracks. J. Appl. Ind. Math. 6, 371–380 (2012). https://doi.org/10.1134/S199047891203012X

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  • DOI: https://doi.org/10.1134/S199047891203012X

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