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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2008-1pp.62-65

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V.M. Aleksandrov and D.A. Pozharskii, "Three-dimensional contact problems for an elastic wedge with a coating," J. Appl. Math. Mech. 72 (1), 62-65 (2008)
Year 2008 Volume 72 Issue 1 Pages 62-65
Title Three-dimensional contact problems for an elastic wedge with a coating
Author(s) V.M. Aleksandrov (Moscow, Russia)
D.A. Pozharskii (Rostov-on-Don, Russia)
Abstract Three-dimensional contact problems for an elastic wedge, one face of which is reinforced with a Winkler-type coating with different boundary conditions on the other face of the wedge, are investigated. A power-law dependence of the normal displacement of the coating on the pressure is assumed. The contact area, the pressure in this region, and the relation between the force and the indentation of a punch are determined using the method of non-linear boundary integral equations and the method of successive approximations. The results of calculations are analysed for different values of the aperture angle of the wedge, the relative distance of the punch from the edge of the wedge, the ratio of the radii of curvature of the punch (an elliptic paraboloid), and the non-linearity factors of the coating. The results obtained are compared with the solutions of similar problems for a wedge without a coating.
Received 05 September 2006
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