Real Contact Area of Fractal-Regular Surfaces and Its Implications in the Law of Friction

[+] Author and Article Information
Shao Wang

School of Mechanical and Production Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798

J. Tribol 126(1), 1-8 (Jan 13, 2004) (8 pages) doi:10.1115/1.1609493 History: Received February 04, 2003; Revised June 24, 2003; Online January 13, 2004
Copyright © 2004 by ASME
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Fractal-regular surfaces constructed by superimposing the W-M function (D=1.5,G=1×10−12m,γ=1.5) on a parabolic profile for different values of the fractal domain length: (a) Lu=0.1 mm, and (b) Lu=1 mm.
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Expansion of the apparent contact area of a macroscopic Hertzian contact and the accompanied increase in the number of fractal domains in contact for a normal load increased from (a) P to (b) P+ΔP
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Power spectral density function for fractal-regular surfaces with different values of the fractal dimension, D, and with the same value of the initial power spectral density at the lowest frequency of the fractal structures, 1/Lu
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Distributions of the real-to-apparent contact ratio (left half) and the plastic contact ratio (right half) for a fractal-regular surface in a nominally Hertzian contact for different values of the fractal dimension, D




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