Two-dimensional problems of stationary heat conduction and thermoelasticity for a three-layer annular domain with cracks are reduced to singular integral equations. The systems of integral equations of the first and second kind are constructed for closed (contours of layers and the external boundary) and open (cracks) contours in the case where the contour of the internal boundary of the domain is a circle.
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 51, No. 2, pp. 129–135, March–April, 2015.
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Zelenyak, V.M. Integral Equations in Two-Dimensional Problems of Thermoelasticity for a Three-Layer Annular Cracked Domain. Mater Sci 51, 290–298 (2015). https://doi.org/10.1007/s11003-015-9842-8
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DOI: https://doi.org/10.1007/s11003-015-9842-8