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TECHNICAL BRIEFS

# A Comparison of Contact Modeling Utilizing Statistical and Fractal Approaches

[+] Author and Article Information
Lior Kogut1

Department of Mechanical and Materials Engineering,  The University of Western Ontario, London, Ontario, N6A 5B9, Canada

Robert L. Jackson2

Department of Mechanical Engineering, Auburn University, Auburn, AL 36849-5341

1

Currently at QUALCOMM MEMS Technologies; e-mail: lkogut@qualcomm.com

2

Corresponding author: Tel: 1-334-844-3340; Fax: 1-334-844-3307; e-mail: robert.jackson@eng.auburn.edu

J. Tribol 128(1), 213-217 (Aug 15, 2005) (5 pages) doi:10.1115/1.2114949 History: Received April 07, 2005; Revised August 15, 2005

## Abstract

Statistical and fractal approaches for characterizing surface topography have been used widely in contact mechanics. In the present study, a comparison is conducted between contact mechanics results obtained with statistical and fractal approaches to characterize surface topography. Specifically, a three-dimensional fractal surface was generated and statistical surface parameters were extracted using different sampling resolutions. Contact mechanics simulations were performed using the simulated fractal surface and statistical surfaces represented by the extracted statistical surface parameters. Purely elastic contact (Hertz) is studied in order to eliminate any possible influence of the individual asperity mechanical response on the obtained results. Therefore, differences in the simulated contact area and load can be related solely to the different approach employed for surface characterization.

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## Figures

Figure 2

Dimensionless surface separation as a function of the dimensionless contact load using elastic statistical (GW) and fractal surfaces (a), (b) D=2.44 and G=9.46×10−13m, (c), (d) D=2.44 and G=9.46×10−12m, (e), (f) D=2.34 and G=9.46×10−13m

Figure 1

Normalized spectral moments for different fractal surfaces (Table 1) and various sampling resolutions (a) and normalized statistical surface parameters versus the sampling resolution for D=2.44 and G=9.46×10−13m (b)

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