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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 Issues2012-5pp.567-571

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V.M. Aleksandrov and D.A. Pozharskii, "The three-dimensional contact problem for a wedge-shaped valve," J. Appl. Math. Mech. 76 (5), 567-571 (2012)
Year 2012 Volume 76 Issue 5 Pages 567-571
Title The three-dimensional contact problem for a wedge-shaped valve
Author(s) V.M. Aleksandrov (Moscow, Russia)
D.A. Pozharskii (Rostov-on-Don, Russia, pozharda@rambler.ru)
Abstract The three-dimensional contact problem for an elastic wedge-shaped valve, situated in a wedge-shaped cavity in an elastic space, is investigated. A regular asymptotic method is used to solve the integral equation of this problem. The method is effective for a contact area relatively far from the edge of the wedge-shaped cavity. Calculations are carried out. The solutions of the three-dimensional auxiliary problems on the equilibrium of an elastic wedge-shaped cavity and an elastic wedge are based on well-known Green's functions, constructed using Fourier and Kontorovich-Lebedev integral transformations.
Received 31 August 2011
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