An analytical solution of the boundary-value heat conduction problem is obtained for a tribosystem consisting of a homogeneous semispace sliding with a constant velocity along the surface of a plane-parallel strip applied to a semi-infinite foundation. The tribosystem is heated as a result of the frictional heat formation on the sliding surface. It is assumed that the thermal contact of the semispace with the strip is not full. With the aid of the Duhamel theorem, a solution for the considered tribosystem, with sliding at a constant deceleration, is also constructed that models heat formation from friction in disk brakes. For the materials of the friction pair "pig iron semispace (disk)–metal-ceramic strip (lining)–steel foundation (frame)," the influence of the coefficient of thermal conductivity of the contact (Biot number) on the temperature distribution was investigated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. R. Barber and M. Comninou, Thermoelastic contact problems, in: R. R. Hetnarsky (Ed.), Thermal Stresses III, Elsevier Sci. Publ. (1989), pp. 1–105.
Ya. S. Podstrigach, Temperature field in the system of solid bodies conjugated with the aid of an intermediate layer, Inzh.-Fiz. Zh., 6, No. 10, 129–136 (1963).
J. R. Barber, The conduction of heat from sliding solids, Int. J. Heat Mass Transfer., 13, No. 5, 857–869 (1970).
V. M. Aleksandrov and M. I. Chebakov, Introduction to the Mechanics of Contact Interactions [in Russian], Izd. OOO "TsVVR," Rostov-on-Don (2005).
D. V. Grilitskii, Thermoelastic Contact Problems in Tribology [in Russian], Institute of the Topics and Methods of Teaching, Ministry of Education of Ukraine, Kiev (1996).
V. P. Levitskii and V. M. Onyshkevich, Investigation of the influence of the "third body" properties on friction- induced heat formation, Mat. Metody Fiz.-Mekh. Polya, 42, No. 1, 82–86 (1999).
A. L. Nosko and A. P. Nosko, Solution of the contact thermal problem with in the presence of heat transfer between the elements of triboconjugation, Trenie Iznos, 27, No. 3, 279–284 (2006).
A. A. Yevtushenko, M. Kuciej, and M. Rozniakowska, The contact heat transfer between the plane-parallel strip and the semi-infinite foundation, Int. Commun. Heat Mass Transfer, 36, No. 2, 787–793 (2009).
A. A. Evtushenko and M. Kutsei, Account for heat transfer between elements of a plane parallel strip-foundation friction unit, Inzh.-Fiz. Zh., 83, No. 1, 38–46 (2010).
A. V. Luikov, Heat-Conduction Theory [in Russian], Vysshaya Shkola, Moscow (1967).
A. A. Evtushenko and M. Kutsei, Influence of cooling of the outer surface of a plane-parallel layer on temperature of the layer-base tribosystem, Trenie Iznos, 29, No. 6, 621–628 (2008).
R. Piessens, E. De Donecker-Kapenga, C. W. Uberhuber, and D. K. Kahaner, QUADPACK: A Subroutine Package for Automatic Integration, Springer-Verlag, Berlin (1983).
A. A. Yevtushenko and M. Kuciej, Influence of the protective strip properties on distribution of the temperature at transient frictional heating, Int. J. Heat Mass Transfer, 52, Nos. 1–2, 376–384 (2009).
H. Bateman and A. Erdélyi, Tables of Integral Transforms [Russian translation], Vol. 1, Nauka, Moscow (1969).
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables [in Russian], Nauka, Moscow (1979).
A. A. Yevtushenko, E. G. Ivanyk, and O. O. Yevtushenko, Exact formulae for determination of the mean temperature and wear during braking, Heat Mass Transfer, 35, No. 2, 163–169 (1999).
A. V. Chichinadze, É. D. Braun, A. G. Ginzburg, and Z. V. Ignat’eva, Calculation, Testing and Matching of Friction Pairs [in Russian], Nauka, Moscow (1979).
É . M. Kartashov, Analytical Methods in the Theory of Thermal Conductivity of Solid Bodies [in Russian], Naukova Dumka, Kiev (1976).
A. A. Yevtushenko and M. Kuciej, Frictional heating during braking in a three-element tribosystem, Int. J. Heat Mass Transfer, 52, No. 8, 2942–2948 (2009).
V. Balakin and V. Sergienko, Thermal Calculations of Brakes and Friction Units [in Russian], V. A. Belyi Institute of the Mechanics of Metal-Polymer Systems, National Academy of Sciences of Belarus, Gomel’ (1999).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 84, No. 3, pp. 615–623, May–June, 2011.
Rights and permissions
About this article
Cite this article
Evtushenko, A.A., Kuciej, M. Friction-induced formation of heat with account for heat transfer through the contact surface between homogeneous and piecewise-homogeneous semispaces. J Eng Phys Thermophy 84, 667–677 (2011). https://doi.org/10.1007/s10891-011-0520-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-011-0520-x