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RESEARCH PAPERS

Analytical Approximations in Modeling Contacting Rough Surfaces

[+] Author and Article Information
Andreas A. Polycarpou, Izhak Etsion

Faculty of Mechanical Engineering, Technion-IIT, Haifa, Israel

J. Tribol 121(2), 234-239 (Apr 01, 1999) (6 pages) doi:10.1115/1.2833926 History: Received January 14, 1998; Revised June 18, 1998; Online January 24, 2008

Abstract

A critical examination of the analytical solution presented in the classic paper of Greenwood and Williamson (1966), (GW) on the statistical modeling of nominally flat contacting rough surfaces is undertaken in this study. It is found that using the GW simple exponential distribution to approximate the usually Gaussian height distribution of the asperities is inadequate for most practical cases. Some other exponential type approximations are suggested, which approximate the Gaussian distribution more accurately, and still enable closed form solutions for the real area of contact, the contact load, and the number of contacting asperities. The best-modified exponential approximation is then used in the case of elastic-plastic contacts of Chang et al. (1987) (CEB model), to obtain closed-form solutions, which favorably compare with the numerical results using the Gaussian distribution.

Copyright © 1999 by The American Society of Mechanical Engineers
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