Technical Briefs

Influence of Surface Parameters on the Elastoplastic Contact Behavior of Fractal-Regular Surfaces

[+] Author and Article Information
K. Willner

Lehrstuhl für Technische Mechanik, Universität Erlangen-Nürnberg, Egerlandstraße 5, 91058 Erlangen, Germanywillner@ltm.uni-erlangen.de

J. Tribol 130(2), 024502 (Mar 13, 2008) (6 pages) doi:10.1115/1.2842243 History: Received September 08, 2006; Received December 14, 2007; Revised December 14, 2007; Published March 13, 2008

In a recent paper (2004, “Elasto-Plastic Normal Contact of Three-Dimensional Fractal Surfaces Using Halfspace Theory  ,” J. Tribol., 126, pp. 28–33) the author developed a halfspace model for the elasto-plastic normal contact of rough surfaces. This model is now used to study the influence of intrinsic surface parameters on constitutive contact laws, such as load-gap relation and load-area relation, for a specific type of surface topography known as fractal-regular surfaces. Numerical investigations show that the fractal dimension has only minor influence on the load-gap relationship, which is mostly determined by the dimensionless ratio between the transition length and the rms values of the height data. Due to the fractal nature of the surfaces at the small wavelength limit, initial deformation will always be in the plastic range. The load-area relation becomes then completely independent of the geometric surface parameters and is determined by material properties alone, at least if the predicted plastic deformation occurs at a length scale larger than the atomic scale.

Copyright © 2008 by American Society of Mechanical Engineers
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Figure 1

Structure function of a spark eroded aluminum surface

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Figure 2

Approximation of structure function

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Figure 3

Influence of surface parameters on load-gap relation (elastic case)

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Figure 4

Comparison of load-gap relation for D=2.0 with BGT model

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Figure 8

Influence of surface parameters on load-area relation (plastic case)

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Figure 7

Influence of surface parameters on load-gap relation (plastic case)

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Figure 6

Influence of resolution on load-area relation (elastic case)

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Figure 5

Comparison of load-area relation for D=2.0 with BGT model




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