Contact Mechanics

Normal Contact Stiffness on Unit Area of a Mechanical Joint Surface Considering Perfectly Elastic Elliptical Asperities

[+] Author and Article Information
J. P. Shi, K. Ma, Z. Q. Liu

Department of Engineering Mechanics,  Xi’an University of Technology, Xi’an, Shaanxi 710048, People’s Republic of China

J. Tribol 134(3), 031402 (Jun 25, 2012) (6 pages) doi:10.1115/1.4006924 History: Received October 08, 2011; Revised April 09, 2012; Published June 25, 2012; Online June 25, 2012

Based on the Greenwood and Williamson theory, an assumption about the contact-area size of asperities on rough surfaces is proposed under the premise that the height of these asperities on rough surfaces is a Gaussian distribution. A formula has been derived to measure the number of asperities on 2D surfaces. The contact stiffness on a unit length of a 1D outline and that on a unit area of 2D surfaces are presented based on a formula for determining the number of asperities. The relationship between macro parameters, such as contact stiffness and micro parameters on the joint surface, is established.

Copyright © 2012 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Contact model of a pair of asperities

Grahic Jump Location
Figure 2

Equivalent model of contact between asperities

Grahic Jump Location
Figure 3

Normal contact stiffness per unit area versus eccentricity



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