On the Oblique Compression of Two Elastic Spheres

[+] Author and Article Information
D. Elata

Earth Sciences Division, Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, CA 94551

J. Appl. Mech 63(4), 1039-1041 (Dec 01, 1996) (3 pages) doi:10.1115/1.2787226 History: Received May 01, 1995; Revised March 01, 1996; Online October 26, 2007


In this note Walton’s (1987) force-displacement relations for a contact between two identical elastic spheres are discussed. The relations are based on the solution for the oblique compression of two elastic spheres (Walton, 1978) which is rederived here in a simple fashion that relates it to Mindlin’s (1949) solution for contact stress. Specific limitations of these relations are reviewed and it is demonstrated that misusing the relations leads to thermodynamic inconsistencies.

Copyright © 1996 by The American Society of Mechanical Engineers
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