The Laguerre and Fourier integral transformations are used to construct the solution of a plane quasistatic problem of thermoelasticity for the half space with coating. The surface of the coating is heated by a heat flux symmetrically distributed in a strip of certain width and is cooled according to the Newton law outside this strip. The results of numerical analysis of the thermal stressed states of the half space and the coating as functions of the intensity of cooling and the relative thickness of the coating are presented.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 58, No. 2, pp. 118–128, April–June, 2015.
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Turchyn, I.M., Kolodiy, Y.O. Quasistatic Plane Problem of Thermoelasticity for the Half Space with Coating Under Mixed Conditions of Heating. J Math Sci 223, 145–158 (2017). https://doi.org/10.1007/s10958-017-3344-1
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DOI: https://doi.org/10.1007/s10958-017-3344-1