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On the equilibrium of a two-layer elastic body with a crack

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Abstract

We analyze a free boundary value problem that describes an equilibrium state of a two-layer elastic body with a crack. The existence of a solution is proved. Invariant integrals over curves surrounding the crack tip are found. Passages to the limit are studied as the rigidity parameter of the layer vanishes.

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Authors and Affiliations

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

    A. M. Khludnev

  2. North-Eastern Federal University in Yakutsk, ul. Belinskogo 58, Yakutsk, Republic of Sakha (Yakutia), 677980, Russia

    A. M. Khludnev

Authors
  1. A. M. Khludnev
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Correspondence to A. M. Khludnev.

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Original Russian Text © A.M. Khludnev, 2013, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2013, Vol. XVI, No. 2, pp. 144–153.

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Khludnev, A.M. On the equilibrium of a two-layer elastic body with a crack. J. Appl. Ind. Math. 7, 370–379 (2013). https://doi.org/10.1134/S1990478913030101

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  • DOI: https://doi.org/10.1134/S1990478913030101

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