1. A& Maths Mechs, Vol. 66, No. 4, pp. 637443, 2002
0 2002 Elsevier Science Ltd
All rights reserved. Printed in Great Britain
0021-8928/02/$-see front matter
THE PRESSURE OF A PUNCH WITH A ROUNDED EDGE
ON AN ELASTIC HALF-SPACE-/-
1. I. ARGATOV
(Received 21 January 2002)
The problem of the unilateral contact without friction for a punch, the face of which is characterized by a rapid change in the
neighbourhood of the a priori unknown boundary of the contact area, is investigated. Asymptotic formulae are obtained for the
function which describes the variation of the contact area and the contact-pressure density in the boundary-layer region. The
problem of the behaviour of the contact pressures in the neighbourhood of a smoothed stress concentrator is considered.
0 2002 Elsevier Science Ltd. All rights reserved.
1. FORMULATION OF THE PROBLEM
We will assume that the punch initially touches the surface of an elastic half-space x3 > 0 over an area
wo,bounded by a simple smooth closed contour To. Here the face of the punch surface is given by the