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A crack model in a plate

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Abstract

One gives a strict mathematical description and parametrization of the operators corresponding to the problem of a plane elastic medium with a crack. One describes all correct formulations of the boundary conditions at the origin of the crack, which are related to the parametrization of the operators.

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Literature cited

  1. N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hubert Space [in Russian], Vol. II, Vishcha Shkola, Kharkov (1978).

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Authors and Affiliations

  1. Leningrad University, USSR

    Yu. E. Karpeshina

Authors
  1. Yu. E. Karpeshina
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Additional information

Translated from Problemy Matematicheskogo Analiza, No. 10, pp. 139–153, 1986.

The author is grateful to B. S. Pavlov for guidance.

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Karpeshina, Y.E. A crack model in a plate. J Math Sci 45, 1218–1229 (1989). https://doi.org/10.1007/BF01096154

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  • DOI: https://doi.org/10.1007/BF01096154

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