 | | 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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| I.A. Soldatenkov, "The contact problem for an elastic strip and a wavy punch when there is friction and wear," J. Appl. Math. Mech. 75 (1), 85-92 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
1 |
Pages |
85-92 |
| Title |
The contact problem for an elastic strip and a wavy punch when there is friction and wear |
| Author(s) |
I.A. Soldatenkov (Moscow, Russia, isoldat@mail.ru) |
| Abstract |
The plane problem of the mutual wear of a wavy punch and an elastic strip, bonded to an undeformable foundation under the condition of complete contact between the punch and the strip is considered. An analytical expression for the contact pressure is constructed using the general Papkovich-Neuber solution, the two harmonic functions in which are represented in the form of Fourier integrals after which the problem reduces to a non-linear system of differential equations. In the case of a small degree of wear of the strip, this system becomes linear and admits of a solution in explicit form. The harmonics, constituting the profile of the punch and the contact pressure, move along the strip with respect to one another and are shifted in time. Conditions are obtained that ensure the hermetic nature of the contact between the wavy punch and the strip when there is friction and wear. |
| Received |
08 April 2010 |
| Link to Fulltext |
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