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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 Issues2013-6pp.629-641

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I.A. Soldatenkov, "The contact problem with the bulk application of intermolecular interaction forces (a refined formulation)," J. Appl. Math. Mech. 77 (6), 629-641 (2013)
Year 2013 Volume 77 Issue 6 Pages 629-641
Title The contact problem with the bulk application of intermolecular interaction forces (a refined formulation)
Author(s) I.A. Soldatenkov (Moscow, Russia, isoldat@mail.ru)
Abstract A refined formulation of the contact problem when there are intermolecular interaction forces between the contacting bodies is considered. Unlike the traditional formulation, it is assumed that these forces are applied to points within the body, rather than to the surface of the deformable body as a contact pressure, and that the body surface is load-free. Solutions of the contact problems for a thin elastic layer attached to an absolutely rigid substrate and for an elastic half-space are analysed. The refined and traditional formulations of the problem when there is intermolecular interaction are compared.
Received 16 May 2013
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