The contact of rough spheres is of high interest in many tribological, thermal, and electrical fundamental analyses. Implementing the existing models is complex and requires iterative numerical solutions. In this paper a new model is presented and a general pressure distribution is proposed that encompasses the entire range of spherical rough contacts including the Hertzian limit. It is shown that the non-dimensional maximum contact pressure is the key parameter that controls the solution. Compact expressions are proposed for calculating the pressure distribution, radius of the contact area, elastic bulk deformation, and the compliance as functions of the governing non-dimensional parameters. The present model shows the same trends as those of the Greenwood and Tripp model. Correlations proposed for the contact radius and the compliance are compared with experimental data collected by others and good agreement is observed.
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ASME/STLE 2004 International Joint Tribology Conference
October 24–27, 2004
Long Beach, California, USA
Conference Sponsors:
- Tribology Division
ISBN:
0-7918-4181-2
PROCEEDINGS PAPER
A Compact Model for Spherical Rough Contacts Available to Purchase
M. Bahrami,
M. Bahrami
University of Waterloo, Waterloo, ON, Canada
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M. M. Yovanovich,
M. M. Yovanovich
University of Waterloo, Waterloo, ON, Canada
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J. R. Culham
J. R. Culham
University of Waterloo, Waterloo, ON, Canada
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M. Bahrami
University of Waterloo, Waterloo, ON, Canada
M. M. Yovanovich
University of Waterloo, Waterloo, ON, Canada
J. R. Culham
University of Waterloo, Waterloo, ON, Canada
Paper No:
TRIB2004-64015, pp. 1147-1156; 10 pages
Published Online:
December 22, 2008
Citation
Bahrami, M, Yovanovich, MM, & Culham, JR. "A Compact Model for Spherical Rough Contacts." Proceedings of the ASME/STLE 2004 International Joint Tribology Conference. ASME/STLE 2004 International Joint Tribology Conference, Parts A and B. Long Beach, California, USA. October 24–27, 2004. pp. 1147-1156. ASME. https://doi.org/10.1115/TRIB2004-64015
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