Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2011-5pp.589-594

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Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
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V.M. Aleksandrov and D.A. Pozharskii, "The three-dimensional problem of a thin inclusion in a composite elastic wedge," J. Appl. Math. Mech. 75 (5), 589-594 (2011)
Year 2011 Volume 75 Issue 5 Pages 589-594
Title The three-dimensional problem of a thin inclusion in a composite elastic wedge
Author(s) V.M. Aleksandrov (Moscow, Russia)
D.A. Pozharskii (Rostov-on-Don, Russia, pozharda@rambler.ru)
Abstract The three-dimensional problem of a thin rigid elliptic inclusion in the middle of a composite elastic wedge is investigated. The wedge consists of three connected wedge-shaped layers connected by a sliding clamp, in which the layer containing the inclusion is incompressible. The outer faces of the composite wedge are also under sliding-clamp conditions. The inclusion is completely bonded to the elastic medium in the contact region. Using Fourier and Kontorovich-Lebedev transformations, a system of integral equations of the problems are derived for the shear contact stresses. A regular asymptotic method is used to solve this system. Calculations are carried out. The results can be used for calculations on the strength of rubber-metal articles and structures having a corner line.
Received 16 September 2010
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