 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 73, Issue 6 / 2009 | Next article >> |
| 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 |
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