Mixed and Boundary Lubrication

Adhesive Elastic Contact of Rough Surfaces with Power-Law Axisymmetric Asperities

[+] Author and Article Information
Lefeng Wang1

Key Laboratory of Micro-Systems and Micro-structures Manufacturing,Ministry of Education,Harbin Institute of Technology, Harbin, 150001, P. R. C.lefengwang@126.com

Weibin Rong, Bing Shao, Lining Sun

State Key Laboratory of Robotics and System,Harbin Institute of Technology, Harbin, 150001, P. R. C.


Corresponding author.

J. Tribol 134(3), 032101 (Jun 12, 2012) (5 pages) doi:10.1115/1.4006782 History: Received July 22, 2011; Revised April 17, 2012; Published June 12, 2012; Online June 12, 2012

The contact model for rough surfaces with power-law axisymmetric asperities in the presence of adhesion is developed. The extended JKR adhesive contact model for power-law axisymmetric asperities, denoted as JKR-n, developed by Zheng and Yu (2007,“Using the Dugdale Approximation to Match a Specific Interaction in the Adhesive Contact of Elastic Objects,” J. Colloid Interface Sci., 310 , pp. 27–34) is utilized to investigate the adhesive contact of rough surfaces. The JKR-n adhesive contact model generalizes the most adopted JKR model for spherical objects of n = 2. This work compares the effect of surface roughness on the adhesion force for rough surfaces with various power-law axisymmetric asperities. It is found that shapes of the asperities influence the pull-off forces greatly during the separation of rough surfaces. A general adhesion parameter that includes the shape index of asperities is proposed, and it can be used to characterize the adhesion performance of rough surfaces.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 1

Relation between the load and penetration for single power-law axisymmetric asperities

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Figure 2

Adhesive elastic contact of rough surface with a flat surface

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Figure 3

The exerted force as a function of d/σ for various shape indices at σ/δc  = 1

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Figure 4

Values of Pm /KPc as a function of σ/δc for various shape indices



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