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Issues > Archive of Issues > 2007-5 > pp.744-759

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I. I. Argatov, "Slow nonstationary vertical motions of a die on the surface of an elastic half-space," Mech. Solids. 42 (5), 744-759 (2007)
Year 2007 Volume 42 Number 5 Pages 744-759
Title Slow nonstationary vertical motions of a die on the surface of an elastic half-space
Author(s) I. I. Argatov (Admiral Makarov State Maritime Academy, Kosaya Liniya 15A, St. Petersburg, 199106, Russia, argatov@home.ru)
Abstract We consider the dynamic contact problem on vertical motions of an absolutely rigid body on an elastic half-space. We assume that the contact region does not vary during the motion and there is no friction under the die bottom. We construct an approximate solution of the problem under the assumption that the variation in the contact pressure under the die bottom on the time interval in which the Rayleigh wave runs the distance equal to the contact area diameter is small. Computational formulas are obtained for the cases of circular and elliptic dies.
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Received 11 November 2005
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