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IssuesArchive of Issues2004-6pp.33-39

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N. M. Borodachev and G. P. Tarikov, "Hertz problem with the heat release induced by sliding friction being taken into account," Mech. Solids. 39 (6), 33-39 (2004)
Year 2004 Volume 39 Number 6 Pages 33-39
Title Hertz problem with the heat release induced by sliding friction being taken into account
Author(s) N. M. Borodachev (Kiev, Gomel)
G. P. Tarikov (Kiev, Gomel)
Abstract A spatial contact problem of elasticity theory for a system of two bodies being in sliding contact is considered with the heat release being taken into account.

The problem is reduced to a two-dimensional integral equation of the first kind. The solution of this equation is obtained in the case of an elliptic contact area. As a result, a formula for the contact pressure is obtained, with the heat release being taken into account. In addition, the problem of determining the size of the contact patch is considered. In solving contact problems, the heat release was taken into account in [1-3].
References
1.  M. V. Korovchinskii, Plane Contact Problem of Thermoelasticity with Steady Heat Release on Contacting Surfaces [in Russian], In-t Mashinovedeniya, Moscow, 1961.
2.  D. V. Grilitskii, Contact Thermoelasticity Problems in Tribology [in Ukrainian], IZMN, Kiev, 1996.
3.  D. V. Grilitskii and P. P. Krasnyuk, "Steady thermoelasticity contact of two cylinders with frictional heat release," Trenie i Iznos, Vol. 17, No. 3, pp. 312-319, 1996.
4.  B. Davies, Integral Transforms and Their Applications, Springer, New York, 1978.
5.  S. L. Sobolev, Equations of Mathematical Physics [in Russian], Nauka, Moscow, 1992.
6.  M. K. Kassir and G. C. Sih, Three-Dimensional Crack Problems, Noordhoff, Leyden, 1975.
7.  K. L. Johnson, Contact Mechanics [Russian translation], Mir, Moscow, 1989.
8.  A. I. Lur'e, Theory of Elasticity [in Russian], Nauka, Moscow, 1970.
Received 23 August 2002
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