Contact Stress Between Two-Dimensional Finite Elastic Bodies

[+] Author and Article Information
D. O. Blackketter

Department of Mechanical Engineering, Montana State University, Bozeman, Mont.

H. D. Christensen

Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, Ariz.

J. Appl. Mech 36(3), 397-402 (Sep 01, 1969) (6 pages) doi:10.1115/1.3564691 History: Received November 19, 1968; Revised March 17, 1969; Online September 14, 2011


A method is presented for determining the contact stress distribution between two two-dimensional finite elastic bodies with general surface configurations. The bodies treated are nearly rectangular with surfaces which deviate from the rectangular shape by a small amount. The approximate method used involves a solution to the partial differential equations of elasticity for surface load expressed in terms of a trigonometric series. The coefficients of the trigonometric series are evaluated by enforcement of the appropriate constraint conditions. Experimental and theoretical stress distributions are compared and are in good agreement.

Copyright © 1969 by ASME
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