The Stress Field Induced by Normal Contact Between Dissimilar Spheres

[+] Author and Article Information
D. A. Hills

Department of Engineering Science, University of Oxford, Oxford, England OX1 3PJ

A. Sackfield

Department of Mathematics, Trent Polytechnic, Nottingham, England NG1 4BU

J. Appl. Mech 54(1), 8-14 (Mar 01, 1987) (7 pages) doi:10.1115/1.3173000 History: Received March 13, 1986; Revised June 10, 1986; Online July 21, 2009


The stress field induced by the mutual compression of two spheres having dissimilar elastic constants is deduced. Solutions are found assuming full slip, full stick, and partial slip at the interface, but coupling between the shear traction and vertical displacement of the surfaces is neglected. It is shown that significant modifications to the Hertzian stress field occur at the surface, and that these decay rapidly with depth.

Copyright © 1987 by ASME
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