This article is cited in 24 papers

Solution of the plane Hertz problem

I. I. Argatov

Makarov State Marine Academy, St. Petersburg, 199106

Abstract: The paper considers the problem of one-sided frictionless compression of plane elastic bodies that are initially in contact with each other at a point. The first terms of an asymptotic solution of the problem are constructed by the method of joined asymptotic expansions. Determination of the approach of the bodies as a function of the pressing force reduces to calculating so-called of local compliance. The problems of contact of an elastic ring and elastic circular disks with punches and an elastic disk compressed between two elastic strips are considered. An asymptotic model for the quasistatic collision of plane elastic bodies is proposed.

UDC: 539.3

Received: 03.10.2000
Accepted: 10.04.2001

 English version: Journal of Applied Mechanics and Technical Physics, 2001, 42:6, 1064–1072

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