 | | 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 72, Issue 1 / 2008 | Next article >> |
| I.A. Soldatenkov, "A non-linear wear-contact problem for a Winkler foundation with an increasing contact area," J. Appl. Math. Mech. 72 (1), 66-72 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
1 |
Pages |
66-72 |
| Title |
A non-linear wear-contact problem for a Winkler foundation with an increasing contact area |
| Author(s) |
I.A. Soldatenkov (Moscow, Russia, isoldat@mail.ru) |
| Abstract |
A wear-contact problem for a Winkler foundation is considered in the case when the rate of wear depends nonlinearly on the contact pressure and the contact area increases. The corresponding integral and differential equations are obtained. A successive approximation procedure is proposed which enables an exact solution of the problem in the space of continuous functions to be found. The property of non-negativity of the contact pressure when it has non-negative initial values is established. It is shown, using a qualitative analysis and calculations, that the non-linearity of the wear law can have a considerable effect on the behaviour of the contact pressure during the wear process. |
| Received |
08 August 2007 |
| Link to Fulltext |
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