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Research Papers: Contact Mechanics

The Effect of Surface Roughness on Static Friction and Junction Growth of an Elastic-Plastic Spherical Contact

[+] Author and Article Information
D. Cohen, Y. Kligerman

Department of Mechanical Engineering, Technion, Haifa 32000, Israel

I. Etsion1

Department of Mechanical Engineering, Technion, Haifa 32000, Israeletsion@technion.ac.il

1

Corresponding author.

J. Tribol 131(2), 021404 (Mar 05, 2009) (10 pages) doi:10.1115/1.3075866 History: Received August 30, 2008; Revised December 24, 2008; Published March 05, 2009

A model for elastic-plastic spherical contact of rough surfaces under combined normal and tangential loadings, with full stick contact condition, is presented. The model allows evaluation of the effect of surface roughness on the real contact area, static friction and junction growth under small normal loads. It is shown that as the normal load approaches a certain threshold value, which depends on the plasticity index, the results of the present rough surface model approach these of previous corresponding models for smooth sphere and a rigid flat. At normal load values below the threshold load, the correlation of the present results and published experimental results is much better in comparison with the results of the smooth surface models.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Contact model of an equivalent rough flat and a smooth sphere

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Figure 2

The ratio of the real contact area A0 over the nominal contact area An versus the dimensionless normal load P∗ for different plasticity indices ψ

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Figure 3

The dimensionless real contact area A0∗ versus the dimensionless normal load P∗ for different plasticity index values ψ

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Figure 4

The dimensionless maximum tangential load Qmax∗ versus the dimensionless normal load P∗ for different plasticity index values ψ

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Figure 5

The static friction coefficient μ versus the dimensionless normal load P∗ for different plasticity index values ψ

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Figure 6

The relative increase in contact area As/An versus the dimensionless contact load P∗ for different plasticity index values ψ

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Figure 7

The dimensionless maximum tangential load Qmax∗ versus the dimensionless contact area As∗ for different plasticity index values ψ

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Figure 8

Flowchart of the iterative procedure

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