We present an analytic-numerical approach to the determination of the thermoelastic state of a three-component heat-sensitive layer interacting with an ambient medium by means of the convective-radiative heat exchange and subjected to the action of heat sources. The proposed approach is based on the use of the Kirchhoff transformation, generalized functions, Green function of the linear nonstationary problem of heat conduction for the three-component space, and linear splines. The influence of thermal sensitivity and the values of the parameters of heat exchange on the distributions of temperature and stresses is investigated.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 58, No. 2, pp. 98–108, April–June, 2015.
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Protsyuk, B.V., Horun, O.P. Quasistatic Thermoelastic State of a Heat-Sensitive Three-Component Layer Under the Conditions of Convective-Radiative Heat Exchange. J Math Sci 223, 117–131 (2017). https://doi.org/10.1007/s10958-017-3342-3
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DOI: https://doi.org/10.1007/s10958-017-3342-3