 | | 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: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| I.A. Soldatenkov, "The use of the method of successive approximations to calculate an elastic contact in the presence of molecular adhesion," J. Appl. Math. Mech. 76 (5), 597-603 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
5 |
Pages |
597-603 |
| Title |
The use of the method of successive approximations to calculate an elastic contact in the presence of molecular adhesion |
| Author(s) |
I.A. Soldatenkov (Moscow, Russia, isoldat@mail.ru) |
| Abstract |
The contact of indenters with an elastic composition consisting of a coating and a substrate when there is intermolecular interaction (adhesion) is considered. The method of successive approximations is used to solve the non-linear integral equation of the problem. The verification of the convergence of this method, as applied to the case of an intermolecular interaction described by the Lennard-Jones potential, is given. The results of a numerical solution of the problem for an indenter of rectangular cross section with a contact surface of parabolic-wave shape are presented. |
| Received |
23 August 2011 |
| Link to Fulltext |
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