 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 57, Issue 8 / 2022 | Next article >> |
| A.A. Zobova and I.G. Goryacheva, "Equilibrium of an Elastic Body with Rounded Edges on an Elastic Inclined Half-Space," Mech. Solids. 57 (8), 2078-2087 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
8 |
Pages |
2078-2087 |
| DOI |
10.3103/S0025654422080295 |
| Title |
Equilibrium of an Elastic Body with Rounded Edges on an Elastic Inclined Half-Space |
| Author(s) |
A.A. Zobova (Moscow State University, Moscow, 119234 Russia, alexandra.zobova@math.msu.ru)
I.G. Goryacheva (Moscow State University, Moscow, 119234 Russia; Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, goryache@ipmnet.ru) |
| Abstract |
The equilibrium problem of an elastic body with flat base and rounded edges on an inclined
half-space of the same material in a gravity field is investigated. The equations determining the borders
of the contact region and partial slip and stick subregions are stated. The influence of the mechanical
and geometrical characteristics of the interacting bodies and friction coefficient on the structure of the
contact region and angle of rotation of the elastic body due to deformations are analyzed. The graphs
of the contact normal and shear stresses are plotted for various inclinations of the base and positions
of the body’s center of mass. The condition of the slipping of the body is obtained and discussed. |
| Keywords |
equilibrium of an elastic body, dry friction, partial slip, inclined base |
| Received |
15 June 2022 | Revised |
15 July 2022 | Accepted |
25 July 2022 |
| Link to Fulltext |
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