 | | 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
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 77, Issue 2 / 2013 | Next article >> |
| I.A. Soldatenkov, "The periodic contact problem of the plane theory of elasticity. Taking friction, wear and adhesion into account," J. Appl. Math. Mech. 77 (2), 245-255 (2013) |
| Year |
2013 |
Volume |
77 |
Issue |
2 |
Pages |
245-255 |
| Title |
The periodic contact problem of the plane theory of elasticity. Taking friction, wear and adhesion into account |
| Author(s) |
I.A. Soldatenkov (Moscow, Russia, isoldat@mail.ru) |
| Abstract |
A solution of the plane problem of the contact interaction of a periodic system of convex punches with an elastic half-plane is given for two forms of boundary conditions: 1) sliding of the punches when there is friction and wear, and 2) the indentation of the punches when there is adhesion. The problem is reduced to a canonical singular integral equation on the arc of a circle in the complex plane. The solution of this equation is expressed in terms of simple algebraic functions of a complex variable, which considerably simplifies its analysis. Asymptotic expressions are obtained for the solution of the problem in the case when the size of the contact area is small compared with the distance between the punches. |
| Received |
29 May 2011 |
| Link to Fulltext |
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