An analytic solution of the thermal problem of friction for a plane-parallel layer–base tribosystem under conditions of incomplete thermal contact between contacting bodies is obtained. Asymptotics of the obtained solution for small and large values of time are determined. For the materials of a cermet layer–iron base friction pair, we investigate the influence of the thermal conductivity coefficient of the contact on the temperature distribution and intensity of a heat fluxes.
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References
V. A. Balakin and V. P. Sergienko, Thermal Calculations of Brakes and Friction Assemblies [in Russian], Institute of Mechanics of Metal–Polymeric Systems of the Belarus National Academy of Sciences, Gomel (1999).
H. Bateman and A. Erdélyi, Tables of Integral Transforms, Vol. 1, McGraw-Hill, New York (1954).
A. S. Galitsyn and A. N. Zhukovskii, Integral Transforms and Special Functions in Heat Conduction Problems [in Russian], Naukova Dumka, Kiev (1976).
D. V. Grylytsky, Thermoelastic Contact Problems in Tribology. A Textbook [in Ukrainian], Institute of Content and Methods of Education, Kyiv (1996).
A. Yevtushenko and M. Kuciej, “Nonstationary frictional heat problem for ‘plane-parallel layer–half space’ system,” Trenie Iznos, 28, No. 3, 244–256 (2007).
O. O. Yevtushenko and M. Kuciej, “Influence of convective cooling of the external surface of a plane-parallel layer on the distribution of temperature in a tribosystem layer–base,” Mat. Met. Fiz.-Mekh. Polya, 51, No. 4, 212–220 (2008).
V. P. Levyts’kyi and V. M. Onyshkevych, “Investigation of the influence of properties of a “third body” on friction-induced heat production,” Mat. Met. Fiz.-Mekh. Polya, 42, No. 1, 82–86 (1999).
A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).
A. L. Nosko and A. P. Nosko, “Solution of a contact thermal problem with regard to heat transfer between elements of triboconjugation,” Trenie Iznos, 27, No. 3, 279–284 (2006).
Ya. S. Podstrigach, “Temperature field in a system of solid bodies conjugate with the help of an intermediate layer,” Inzh.-Fiz. Zh., 6, No. 10, 129–136 (1963).
Handbook on Heat Exchangers [in Russian], Vol. 1, Énergoatomizdat, Moscow (1987).
A. V. Chichinadze, E. D. Braun, A. G. Ginzburg, and Z. V. Ignat’eva, Analysis, Testing, and Selection of Friction Couples [in Russian], Nauka, Moscow (1979).
M. Godet, “Third-bodies in tribology,” Wear, 136, No. 1, 29–45 (1990).
I. Iordanoff, Y. Berthier, S. Descartes, and H. Heshmat, “A review of recent approaches for modeling solid third bodies,” Trans. ASME, J. Tribology, 124, No. 4, 725–735 (2002).
F. F. Ling, “A quasi-iterative method for computing interface temperature distributions,” Z. Angew. Math. Phys., 10, No. 5, 461–474 (1959).
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 53, No. 2, pp. 147–155, April–June, 2010.
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Yevtushenko, O.O., Kuciej, M. Heat transfer in sliding of a plane-parallel layer over a base. J Math Sci 178, 545–556 (2011). https://doi.org/10.1007/s10958-011-0568-3
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DOI: https://doi.org/10.1007/s10958-011-0568-3