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Russian Academy of Sciences
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IssuesArchive of Issues2009-6pp.734-746

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Total articles in the database: 1813
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I.I. Argatov, "Averaging of a finely laminated elastic medium with roughness or adhesion on the contact surfaces of the layers," J. Appl. Math. Mech. 73 (6), 734-746 (2009)
Year 2009 Volume 73 Issue 6 Pages 734-746
Title Averaging of a finely laminated elastic medium with roughness or adhesion on the contact surfaces of the layers
Author(s) I.I. Argatov (St Petersburg, Russia, argatov@home.ru)
Abstract The governing relations of a laminated elastic medium with non-ideal contact conditions in the interlayer boundaries are obtained by an asymptotic averaging method. The interaction of rough surfaces is described by a non-linear contact condition which simulates the local deformation of the microroughnesses using a certain penetration of the nominal surfaces of the elastic layers. The cohesive forces, caused by the thin adhesive layer, are described within the limits of the Frémond model which includes a differential equation characterizing the change in the cohesion function. A piecewise-linear approximation of the initial positive segment of the Lennard-Jones potential curve is proposed to describe of the adhesive forces between smooth dry surfaces. A comparison is made with the solution obtained within the limits of the Maugis-Dugdale model based on a piecewise-constant approximation. Solutions of the above problems are constructed taking account of the possible opening of interlayer boundaries.
Received 16 March 2007
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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