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IssuesArchive of Issues2002-4pp.19-22

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V. M. Alexandrov and A. A. Shamtkova, "Contact problem for a journal bearing with coating," Mech. Solids. 37 (4), 19-22 (2002)
Year 2002 Volume 37 Number 4 Pages 19-22
Title Contact problem for a journal bearing with coating
Author(s) V. M. Alexandrov (Moscow)
A. A. Shamtkova (Moscow)
Abstract We consider the problem of interaction between an elastic plane with a circular hole and an elastic circular disk of a smaller radius, both surfaces being strengthened by coating (absolutely flexible but rigid with respect to tension-compression). An integral equation of the first kind with a difference kernel (with logarithmic singularity) is obtained for the contact pressure. An approximate solution of this equation is constructed by the Multhopp-Kalandiya method [1]. Numerical results are described.

Previously [2], another method was used to construct a solution of the problem of the indentation of a circular disk into the boundary of a circular hole in an elastic plane, with its boundary strengthened by coating.
References
1.  V. M. Alexandrov and A. A. Shmatkova, "A modified Multhopp-Kalandiya method in problems for journal bearings," PMM [Applied Mathematics and Mechanics], Vol. 64, No. 4, pp. 691-697, 2000.
2.  V. M. Alexandrov and S. M. Mkhitaryan, Contact Problems for Bodies with Thin Coatings and Interlayers [in Russian], Nauka, Moscow, 1983.
3.  I. I. Vorovich, V. M. Alexandrov, and V. A. Babeshko, Nonclassical Mixed Problems in Elasticity [in Russian], Nauka, Moscow, 1974.
4.  V. M. Alexandrov and E. V. Kovalenko, Problems in Continuum Mechanics with Mixed Boundary Conditions [in Russian], Nauka, Moscow, 1986.
5.  V. M. Alexandrov, "An axially symmetric contact problem for an infinite elastic cylinder," Izv. AN SSSR. OTN. Mekh. Mashinostr., No. 5, pp. 91-94, 1962.
6.  V. M. Alexandrov and B. L. Romalis, Contact Problems in Engineering [in Russian], Mashinostroenie, 1986.
7.  M. I. Teplyi, Contact Problems for Domains with Circular Boundaries [in Russian], Vishcha Shkola, Lvov, 1983.
Received 31 May 2001
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