Technical Briefs

An Adhesion Model for Elastic-Contacting Fractal Surfaces in the Presence of Meniscus

[+] Author and Article Information
Y. F. Peng

Department of Mechanical and Electrical Engineering, Xiamen University, Xiamen 361005, Chinafoxpengxmu@xmu.edu.cn

Y. B. Guo, Y. Q. Hong

Department of Mechanical and Electrical Engineering, Xiamen University, Xiamen 361005, China

J. Tribol 131(2), 024504 (Mar 06, 2009) (5 pages) doi:10.1115/1.3084213 History: Received June 13, 2007; Revised October 20, 2008; Published March 06, 2009

The strong stiction of adjacent surfaces with meniscus is a major design concern in the devices with a microsized interface. The present research concerns the elastic adhesion of rough fractal surfaces in the presence of a thin liquid film. A rough fractal surface is characterized with a two-variable Weierstrass–Mandelbrot fractal function. The microcontact model of the single asperity is established in terms of the fractal parameters. The adhesion model from meniscus is developed with the Dugdale approximation of the Laplace pressure to consider the adhesive interaction within/outside the contact area. Then the Maugis–Dugdale model and its extension are used to solve the elastic adhesive interaction for the two approaching fractal surfaces by incorporating the fractal surface model. Simulations of the external force versus the interface stiffness, surface roughness, and relative humidity are performed, respectively. The simulation results show that the interface stiffness, surface topography, and relative humidity can heavily influence the interface adhesion of rough surfaces with meniscus.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Adhesive model of rough surfaces with meniscus

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Figure 2

Schematic of a composite asperity against a rigid plane

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Figure 3

The meniscus model for single wetted asperity: (a) meniscus model under noncontact and (b) meniscus model under contact

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Figure 4

Schematic of adhesive microcontact

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Figure 5

Characterization of the adhesion of a pair of fractal surfaces with meniscus

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Figure 6

External force versus interface stiffness K

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Figure 7

External force versus fractal parameter D

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Figure 8

External force versus fractal parameter G

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Figure 9

External force versus relative humidity Hr



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