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IssuesArchive of Issues2004-4pp.39-45

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V. I. Ostrik and A. F. Ulitko, "Contact of two elastic cones in the presence of friction forces," Mech. Solids. 39 (4), 39-45 (2004)
Year 2004 Volume 39 Number 4 Pages 39-45
Title Contact of two elastic cones in the presence of friction forces
Author(s) V. I. Ostrik (Kiev)
A. F. Ulitko (Kiev)
Abstract The axisymmetric problem of frictional contact between two cones is considered. It is assumed that before loading, the cones are in contact with their vertices. After loading, the surfaces of the cones come into contact near their common vertex. The integral equation on the semiaxis with a difference kernel is obtained. The equation is solved by its reduction to the Riemann boundary-value problem for analytic functions. An explicit expression for the contact stresses is found.

A similar problem for the frictional contact of two elastic wedges was considered in [1] for the case of plane strain.
References
1.  V. I. Ostrik and A. F. Ulitko, "Contact between two elastic wedges with friction," Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 93-100, 2000.
2.  A. F. Ulitko, Vector Eigenfunction Method in Three-Dimensional Problems of Elasticity [in Russian], Naukova Dumka, Kiev, 1979.
3.  F. D. Gakhov, Boundary Value Problems [in Russian], Fizmatgiz, Moscow, 1963.
4.  V. I. Ostrik, "Asymptotic estimates of canonical products based on the roots of equations containing the Legendre functions," Visn. Khark. Nats. Un-tu. Ser. Matematika, Prikladna Matematika i Mekhanika, No. 475, pp. 153-161, 2000.
Received 11 July 2002
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