 | | 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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| V.M. Aleksandrov and D.A. Pozharskii, "Three-dimensional contact problems with friction for a composite elastic wedge," J. Appl. Math. Mech. 74 (6), 692-698 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
6 |
Pages |
692-698 |
| Title |
Three-dimensional contact problems with friction for a composite elastic wedge |
| Author(s) |
V.M. Aleksandrov (Moscow, Russia)
D.A. Pozharskii (Rostov-on-Don, Russia, pozharda@rambler.ru) |
| Abstract |
Contact problems for a composite elastic wedge in the form of two joined wedge-shaped layers with different aperture angles joined by a sliding clamp, where the layer under the punch is incompressible, are studied in a three-dimensional formulation. Conditions for a sliding or rigid clamp or the absence of stresses are set up on one face of the composite wedge. The integral equations of the problems are derived taking account of the friction forces perpendicular to the edge of the wedge. The method of non-linear boundary integral equations of the Hammerstein type is used when the contact area is unknown. A regular asymptotic solution is constructed for an elliptic contact area. By virtue of the incompressibility of the material of the layer in contact with the punch, this solution retains the well known root singularity in the boundary of the contact area when account is taken of friction. |
| Received |
14 September 2009 |
| Link to Fulltext |
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