 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| << Previous article | Volume 58, Issue 7 / 2023 | Next article >> |
| N.B. Zolotov and D.A. Pozharskii, "Doubly Periodic Contact Problems for a Layer with an Unknown Contact Zone," Mech. Solids. 58 (7), 2602-2609 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
7 |
Pages |
2602-2609 |
| DOI |
10.3103/S0025654423070257 |
| Title |
Doubly Periodic Contact Problems for a Layer with an Unknown Contact Zone |
| Author(s) |
N.B. Zolotov (Don State Technical University, Rostov-on-Don, Russia)
D.A. Pozharskii (Don State Technical University, Rostov-on-Don, Russia, pozharda@rambler.ru) |
| Abstract |
Doubly periodic contact problems are considered for an elastic layer with an unknown contact area. One face of the layer is in conditions of sliding or rigid embedding. The problems are reduced
to integral equations whose kernels do not contain quadratures. For the case of full contact of the other
face of the layer with a two-dimensional sinusoidal rigid surface, the problems have an exact solution,
which is used to debug programs that implement the numerical method of non-linear Galanov integral
equations, which makes it possible to simultaneously determine the contact area and contact pressures. The mechanical characteristics are calculated for the introduction of a system of elliptical paraboloids and the transition from a discrete to a continuous contact area is studied. |
| Keywords |
doubly periodic contact, elastic layer, integral equations |
| Received |
17 July 2022 | Revised |
29 October 2022 | Accepted |
01 November 2022 |
| Link to Fulltext |
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