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Russian Academy of Sciences
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IssuesArchive of Issues2013-2pp.245-255

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

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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 http://www.sciencedirect.com/science/article/pii/S0021892813000919
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