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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2022-8pp.2078-2087

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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 2022Revised 15 July 2022Accepted 25 July 2022
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