We extend the numerical-analytic approach approved for the problems of heat conduction for thermosensitive bodies, which are in perfect contact, to the case of similar nonlinear problems formulated for the case of friction heating. The proposed approach is based on the application of the Kirchhoff integral transform, a version of the method of successive approximations, the Laplace integral transform, and its inversion by the Prudnikov formula. By using this approach, we solve the problems for a tribosystem formed by either contacting thermosensitive half spaces or a half space and a layer subjected to convective-radiative heat exchange. We consider the case of an arbitrary character of changes in the thermal characteristics. On the basis of the constructed solutions, we analyze the thermal state of the corresponding thermosensitive piecewise homogeneous structures under the conditions of friction heating.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 64, No. 3, pp. 55–64, July–September, 2021.
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Vovk, O.M. Thermal State of a Thermosensitive Tribosystem under Complex Heat Exchange. J Math Sci 278, 795–806 (2024). https://doi.org/10.1007/s10958-024-06962-z
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DOI: https://doi.org/10.1007/s10958-024-06962-z