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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.

1

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.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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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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