A Fractal Model for the Rigid-Perfectly Plastic Contact of Rough Surfaces

[+] Author and Article Information
T. L. Warren

Department of Mechanical and Aerospace Engineering Arizona State University, Tempe, AZ 85287-6106

A. Majumdar

Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA 93106

D. Krajcinovic

Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287-6106

J. Appl. Mech 63(1), 47-54 (Mar 01, 1996) (8 pages) doi:10.1115/1.2787208 History: Received November 03, 1993; Revised August 01, 1994; Online October 26, 2007


In this study a continuous asymptotic model is developed to describe the rigid-perfectly plastic deformation of a single rough surface in contact with an ideally smooth and rigid counter-surface. The geometry of the rough surface is assumed to be fractal, and is modeled by an effective fractal surface compressed into the ideally smooth and rigid counter-surface. The rough self-affine fractal structure of the effective surface is approximated using a deterministic Cantor set representation. The proposed model admits an analytic solution incorporating volume conservation. Presented results illustrate the effects of volume conservation and initial surface roughness on the rigid-perfectly plastic deformation that occurs during contact processes. The results from this model are compared with existing experimental load displacement results for the deformation of a ground steel surface.

Copyright © 1996 by The American Society of Mechanical Engineers
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