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Technical Briefs

Elastic Contact of Rough Surfaces Subject to Combined Force and Moment

[+] Author and Article Information
Ali Sepehri, Kambiz Farhang

Department of Mechanical Engineering and Energy Processes, Southern Illinois University Carbondale, Carbondale, IL 62901-6899

J. Tribol 131(3), 034503 (Jun 01, 2009) (5 pages) doi:10.1115/1.3139049 History: Received November 10, 2007; Revised February 18, 2009; Published June 01, 2009

In this paper we consider the contact between two rectangular rough surfaces that provide normal and tangential contact forces, as well as contact moment, to counteract the net moment imposed by the applied forces. The surfaces are permitted to develop a slight angular misalignment, and thereby contact moment is derived. Through this scheme it is possible to also define elastic contribution to friction, since the half-plane tangential contact force on one side of an asperity is no longer balanced by the half-plane tangential force component on the opposite side. The elastic friction force, however, is shown to be of a much smaller order than the contact normal force.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 1

Contacting two rough surfaces with a slight rotation of the mean plane

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Figure 2

Asperity contact

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Figure 3

Dimensionless normal force, IN, versus x for h0=1, βs=500, and a=250,000

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Figure 4

Dimensionless tangential force, Ix, versus x for h0=1, βs=500, and a=250,000

Grahic Jump Location
Figure 5

xN(h0,βs) for m=2×10−5 and a=150,000

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