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Mathematics and Mechanics

Russian Academy of Sciences
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in January 1936
(Translated from 1958)
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IssuesArchive of Issues2012-5pp.572-581

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I.G. Goryacheva and P.P. Usov, "A numerical analysis of the contact of rough viscoelastic bodies in the presence of a layer of viscous lubricant," J. Appl. Math. Mech. 76 (5), 572-581 (2012)
Year 2012 Volume 76 Issue 5 Pages 572-581
Title A numerical analysis of the contact of rough viscoelastic bodies in the presence of a layer of viscous lubricant
Author(s) I.G. Goryacheva (Moscow, Russia)
P.P. Usov (Moscow, Russia, usovp@mail.ru)
Abstract A model is proposed for investigating the combined effect of the roughness of contacting surfaces separated by a thin layer of lubricant and the viscous properties of the surface layers on the characteristics of the contact interaction and the sliding friction force. The problem considered is that of the motion of a thin layer of lubricant between a rigid fixed cylinder with a regular relief and the moving surface of a viscoelastic layer, bonded to a rigid smooth foundation, the rheological properties of which are described by the one-dimensional Kelvin model. It is shown that the pressure in the layer of lubricant and the characteristics of the lubricated contact determined by it as functions of the input parameters when there is roughness can change discontinuously within certain ranges of variation of the input parameters. The results of the solution of contact problems for viscoelastic and elastic rough bodies in the presence of a lubricant are compared, and they are also compared with the solution of the corresponding problem for smooth bodies.
Received 15 November 2011
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