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IssuesArchive of Issues2019-2pp.278-288

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I.G. Goryacheva and A.A. Zobova, "Deceleration of a Rigid Cylinder Sliding along a Viscoelastic Foundation," Mech. Solids. 54 (2), 278-288 (2019)
Year 2019 Volume 54 Number 2 Pages 278-288
DOI 10.3103/S0025654419030129
Title Deceleration of a Rigid Cylinder Sliding along a Viscoelastic Foundation
Author(s) I.G. Goryacheva (Ishlinsky Institute for Problems in Mechanics, Moscow, Russia, goryache@ipmnet.ru)
A.A. Zobova (Lomonosov Moscow State University, Moscow, Russia, azobova@mech.math.msu.su)
Abstract The deceleration of an infinite rigid cylinder sliding along a surface of a viscoelastic half-space is studied (the axis of the cylinder at plane-parallel motion is horizontal). It is assumed that there are no tangential stresses in the contact area. The distribution of contact pressures, the size of contact area, and the dependence of resistance force on the velocity of the cylinder axis are determined from the solution of a quasi-static problem in the theory of viscoelasticity. On the basis of the developed mathematical model, the features of deceleration process are qualitatively and numerically studied along with their dependence on the viscoelastic parameter of the foundation.
Keywords viscoelastic foundation, rigid cylinder, contact pressure, resistance force
Received 07 February 2019Revised 14 March 2019Accepted 19 March 2019
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