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Application of singular integral equations in two-dimensional problems of the theory of elasticity for piecewise-uniform bodies with cracks

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Abstract

Using the method of singular integral equations we solve a two-dimensional problem of the theory of elasticity for an infinite plate containing an elastic inclusion of arbitrary configuration and a system of curvilinear incisions. The numerical solution is found by the method of mechanical quadratures for the case of an elliptic inclusion and a single polygonal crack.

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Literature cited

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Authors
  1. M. P. Savruk
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  2. N. V. Timoshchuk
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 27, 1988, pp. 93–98.

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Savruk, M.P., Timoshchuk, N.V. Application of singular integral equations in two-dimensional problems of the theory of elasticity for piecewise-uniform bodies with cracks. J Math Sci 62, 2591–2596 (1992). https://doi.org/10.1007/BF01099157

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  • DOI: https://doi.org/10.1007/BF01099157

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