A contact mechanics theory of static friction is presented for isotropic rough surfaces exhibiting fractal behavior. The analysis is based on a piecewise power-law size distribution and a normal slope distribution of the asperity contacts and elastic–fully plastic deformation models. Numerical integration yields solutions for the normal and friction forces in terms of fractal parameters, elastic–plastic material properties, and interfacial shear strength. The variation of the static coefficient of friction with normal load is related to the effect of the surface topography on the dominant deformation mode at the asperity contacts. Plastic deformation of the smaller asperity contacts dominates at low loads and elastic deformation of the larger asperity contacts dominates at high loads. The critical load signifying the transition from predominantly plastic to elastic deformation depends on the fractal parameters and material properties. In the low-load range, the static coefficient of friction decreases with the increase of the load, while in the high-load range it increases with the load. Numerical results for copper fractal surfaces illustrate the effects of normal load, surface topography, and interfacial shear strength on the static coefficient of friction.
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April 2005
Article
A Mechanics Approach to Static Friction of Elastic–Plastic Fractal Surfaces
J. Yang, Graduate Student,
J. Yang, Graduate Student
Department of Mechanical Engineering, University of California, Berkeley, CA 94720
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K. Komvopoulos, Professor Fellow ASME
K. Komvopoulos, Professor Fellow ASME
Department of Mechanical Engineering, University of California, Berkeley, CA 94720
Search for other works by this author on:
J. Yang, Graduate Student
Department of Mechanical Engineering, University of California, Berkeley, CA 94720
K. Komvopoulos, Professor Fellow ASME
Department of Mechanical Engineering, University of California, Berkeley, CA 94720
Contributed by the Tribology Division for publication in the JOURNAL OF TRIBOLOGY. Manuscript received February 16, 2004; revision received July 26, 2004. Review conducted by: C. H. Venner.
J. Tribol. Apr 2005, 127(2): 315-324 (10 pages)
Published Online: April 7, 2005
Article history
Received:
February 16, 2004
Revised:
July 26, 2004
Online:
April 7, 2005
Citation
Yang, J., and Komvopoulos, K. (April 7, 2005). "A Mechanics Approach to Static Friction of Elastic–Plastic Fractal Surfaces ." ASME. J. Tribol. April 2005; 127(2): 315–324. https://doi.org/10.1115/1.1828080
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