| | 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 (print version) |
Archive of Issues
Total articles in the database: | | 10522 |
In Russian (ΟΜΜ): | | 9723
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In English (J. Appl. Math. Mech.): | | 799 |
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<< Previous article | Volume 80, Issue 1 / 2016 | Next article >> |
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 |
Link to Fulltext |
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