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Fractal Fract
Volume 5
Issue 2
10.3390/fractalfract5020044
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Article

Elastic Rough Surface Contact and the Root Mean Square Slope of Measured Surfaces over Multiple Scales

by
Robert L. Jackson
1,*,
Yang Xu
2,
Swarna Saha
1 and
Kyle D. Schulze
1
1
Department of Mechanical Engineering, Auburn University, Auburn, AL 36849, USA
2
School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China
*
Author to whom correspondence should be addressed.
Fractal Fract. 2021, 5(2), 44; https://doi.org/10.3390/fractalfract5020044
Submission received: 22 March 2021 / Revised: 4 May 2021 / Accepted: 7 May 2021 / Published: 14 May 2021
(This article belongs to the Section Engineering)
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Abstract

This study investigates the predictions of the real contact area for perfectly elastic rough surfaces using a boundary element method (BEM). Sample surface measurements were used in the BEM to predict the real contact area as a function of load. The surfaces were normalized by the root-mean-square (RMS) slope to evaluate if contact area measurements would collapse onto one master curve. If so, this would confirm that the contact areas of manufactured, real measured surfaces are directly proportional to the root mean square slope and the applied load, which is predicted by fractal diffusion-based rough surface contact theory. The data predicts a complex response that deviates from this behavior. The variation in the RMS slope and the spectrum of the system related to the features in contact are further evaluated to illuminate why this property is seen in some types of surfaces and not others.
Keywords: surface roughness; contact mechanics; contact area surface roughness; contact mechanics; contact area

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MDPI and ACS Style

Jackson, R.L.; Xu, Y.; Saha, S.; Schulze, K.D. Elastic Rough Surface Contact and the Root Mean Square Slope of Measured Surfaces over Multiple Scales. Fractal Fract. 2021, 5, 44. https://doi.org/10.3390/fractalfract5020044

AMA Style

Jackson RL, Xu Y, Saha S, Schulze KD. Elastic Rough Surface Contact and the Root Mean Square Slope of Measured Surfaces over Multiple Scales. Fractal and Fractional. 2021; 5(2):44. https://doi.org/10.3390/fractalfract5020044

Chicago/Turabian Style

Jackson, Robert L., Yang Xu, Swarna Saha, and Kyle D. Schulze. 2021. "Elastic Rough Surface Contact and the Root Mean Square Slope of Measured Surfaces over Multiple Scales" Fractal and Fractional 5, no. 2: 44. https://doi.org/10.3390/fractalfract5020044

APA Style

Jackson, R. L., Xu, Y., Saha, S., & Schulze, K. D. (2021). Elastic Rough Surface Contact and the Root Mean Square Slope of Measured Surfaces over Multiple Scales. Fractal and Fractional, 5(2), 44. https://doi.org/10.3390/fractalfract5020044

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