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IssuesArchive of Issues2010-4pp.486-493

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A.A. Molchanov and D.A. Pozharskii, "The interaction of punches on the face of an elastic wedge," J. Appl. Math. Mech. 74 (4), 486-493 (2010)
Year 2010 Volume 74 Issue 4 Pages 486-493
Title The interaction of punches on the face of an elastic wedge
Author(s) A.A. Molchanov (Rostov-on-Don, Russia,
D.A. Pozharskii (Rostov-on-Don, Russia,
Abstract The interaction of two punches, which are elliptic in plan, on the face of an elastic wedge is investigated in a three-dimensional formulation for different types of boundary conditions on the other face. The wedge material is assumed to be incompressible. An asymptotic solution is obtained for punches which are relatively distant from one another and from the edge of the wedge. For the case when the punches are arranged relatively close to the edge of the wedge (or reach the edge, the contact area is unknown) the numerical method of boundary integral equations is used. The mutual effect of the punches is estimated by means of calculations. The asymptotic solution of the generalized Galin problem, concerning the effect of a concentrated force applied on the edge of the three-dimensional wedge on the contact pressure distribution under a circular punch relatively far from the edge, is obtained.
Received 15 June 2009
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