 | | 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: | | 10583 |
| In Russian (ΟΜΜ): | | 9784
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| In English (J. Appl. Math. Mech.): | | 799 |
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| D.A. Pozharskii, "The three-dimensional contact problem with friction for an elastic wedge," J. Appl. Math. Mech. 72 (5), 619-625 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
5 |
Pages |
619-625 |
| Title |
The three-dimensional contact problem with friction for an elastic wedge |
| Author(s) |
D.A. Pozharskii (Rostov-on-Don, Russia, tmm@rgashm.ru) |
| Abstract |
Solutions of three-dimensional boundary-value problems of the theory of elasticity are given for a wedge, on one face of which a concentrated shearing force is applied, parallel to its edge, while the other face is stress-free or is in a state of rigid or sliding clamping. The solutions are obtained using the method of integral transformations and the technique of reducing the boundary-value problem of the theory of elasticity to a Hilbert problem, as generalized by Vekua (functional equations with a shift of the argument when there are integral terms). Using these and previously obtained equations, quasi-static contact problems of the motion of a punch with friction at an arbitrary angle to the edge of the wedge are considered. In a similar way the contact area can move to the edge of a tooth in Novikov toothed gears. The method of non-linear boundary integral equations is used to investigate contact problems with an unknown contact area. |
| Received |
27 November 2007 |
| Link to Fulltext |
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