 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 57, Issue 8 / 2022 | Next article >> |
| I.Yu. Tsukanov, "On the Contact Problem for a Wavy Cylinder and an Elastic Half-Plane," Mech. Solids. 57 (8), 2104-2110 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
8 |
Pages |
2104-2110 |
| DOI |
10.3103/S002565442208026X |
| Title |
On the Contact Problem for a Wavy Cylinder and an Elastic Half-Plane |
| Author(s) |
I.Yu. Tsukanov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, ivan.yu.tsukanov@gmail.com) |
| Abstract |
Based on the solution to plane contact problems for one and two contact zones, the influence of the geometry of a wavy cylinder on the length of the actual contact region when it is introduced
into an elastic half-plane is studied. Analytical expressions are obtained to determine the boundaries
of two contact zones and the total load for an arbitrary gap function between the surfaces. The study
establishes a relationship between the boundaries of the contact zone and the fictitious zone of negative (tensile) contact stresses that arise when the solution for a simply connected region is used. It is
shown that the waviness of the cylinder surface has a significant effect on the load dependence of the
length of the real contact area. A nonmonotonic behavior of this dependence is revealed in the transition from a doubly connected contact region to a simply connected one. |
| Keywords |
contact problem, wavy cylinder, elastic contact, surface irregularities (asperities) |
| Received |
29 June 2022 | Revised |
19 July 2022 | Accepted |
20 July 2022 |
| Link to Fulltext |
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