 | | 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: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
| Link to Fulltext |
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