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TECHNICAL BRIEFS

A Compact Model for Spherical Rough Contacts

[+] Author and Article Information
M. Bahrami

Microelectronics Heat Transfer Laboratory, Dept. of Mechanical Engineering,  University of Waterloo, Waterloo, ON N2L 3G1, Canadamajid@mhtlab.uwaterloo.ca

M. M. Yovanovich, J. R. Culham

Microelectronics Heat Transfer Laboratory, Dept. of Mechanical Engineering,  University of Waterloo, Waterloo, ON N2L 3G1, Canada

J. Tribol 127(4), 884-889 (Apr 29, 2005) (6 pages) doi:10.1115/1.2000982 History: Received July 15, 2004; Revised April 29, 2005

A new model is developed that considers the effect of roughness on the elastic contact of spherical bodies. A general pressure distribution is proposed that encompasses the contact of rough spheres and yields the Hertzian theory for ideally smooth surfaces. A new parameter, nondimensional maximum contact pressure, is introduced and it is shown that this is the key parameter that controls the contact. The results of the present study are presented in the form of compact relationships. These relationships are compared against the experimental data collected by others and good agreement is observed.

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Copyright © 2005 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Contact between sphere and rough plane

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Figure 2

Free-body diagram of contact, discrete point forces and plastic layer

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Figure 3

Effect of roughness on pressure distribution

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Figure 4

Nondimensional pressure distributions for spherical rough contacts

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Figure 5

Nondimensional maximum contact pressure

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Figure 6

Bulk deformation at center and edge of contact area

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Figure 7

Summary of parameter values of experimental data

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Figure 8

Comparison between present model and experimental data, contact radius

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Figure 9

Comparison between present model and experimental data, compliance

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