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 Issues2016-1pp.99-103

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D.A. Pozharskii, "Three-dimensional contact problems for a composite elastic wedge," J. Appl. Math. Mech. 80 (1), 99-103 (2016)
Year 2016 Volume 80 Issue 1 Pages 99-103
DOI 10.1016/j.jappmathmech.2016.05.013
Title Three-dimensional contact problems for a composite elastic wedge
Author(s) D.A. Pozharskii (The Don State Technical University, Rostov-on-Don, Russia, pozharda@rambler.ru)
Abstract The integral equations of new three-dimensional contact problems for a composite elastic wedge are obtained by reducing a boundary problem of the theory of elasticity to a Hilbert problem extended according to Vekua using complex Fourier and Kontorovich-Lebedev transforms. The wedge consists of two wedge-shaped layers with a common vertex and different aperture angles joined by a sliding restraint and the layer that is remote from the punch is incompressible. Three types of boundary conditions are considered on one face of the incompressible layer: when there are no stresses and when there is a sliding or rigid restraint. When the contact area is unknown, the method of non-linear boundary integral equations of the Hammerstein type is used that allows the contact area and the contact pressure to be determined simultaneously.
Received 22 April 2015
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