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Boundary integral equations for a body with inhomogeneous inclusions

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Abstract

On the basis of the partially singular differential equations of the stationary problem of heat conduction and the quasi-static problem of thermoelasticity, written taking account of conditions of nonideal thermomechanical contact, we derive boundary integral equations for a body with inhomogeneous inclusions. We propose a method of solving these equations taking account of the order of the principal term of the asymptotics of the solution in neighborhoods of the corners of the contact surfaces.

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Authors
  1. K. V. Vishnevskii
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  2. R. M. Kushnir
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Additional information

Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 37–41.

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Vishnevskii, K.V., Kushnir, R.M. Boundary integral equations for a body with inhomogeneous inclusions. J Math Sci 86, 2552–2555 (1997). https://doi.org/10.1007/BF02356095

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  • DOI: https://doi.org/10.1007/BF02356095

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