Journal of Applied Mathematics and Mechanics (about journal) 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
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IssuesArchive of Issues2013-5pp.559-565

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I.A. Soldatenkov, "The wear of a punch when it slides randomly on a thin elastic layer," J. Appl. Math. Mech. 77 (5), 559-565 (2013)
Year 2013 Volume 77 Issue 5 Pages 559-565
Title The wear of a punch when it slides randomly on a thin elastic layer
Author(s) I.A. Soldatenkov (Moscow, Russia, isoldat@mail.ru)
Abstract The three-dimensional problem of the wear of a punch, which slides randomly on a thin elastic layer is considered. Using the deformation model of an asymptotically thin layer and the procedure for averaging the wear law in random directions of the sliding of the punch, a differential equation is obtained for the kinetics of the punch wear, an analytical solution of which is constructed by the method of characteristics. It is established that a characteristic feature of the evolution of the shape of the worn surface of the punch is its equidistant displacement in the contact plane. An expression for the rate of this displacement is obtained.
Received 15 January 2013
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