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Research Papers: Contact Mechanics

A Multilevel Model for Elastic-Plastic Contact Between a Sphere and a Flat Rough Surface

[+] Author and Article Information
F. Steven Wang, Joseph M. Block, W. Wayne Chen, Ashlie Martini, Kun Zhou, Q. Jane Wang

Center for Surface Engineering and Tribology, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208

Leon M. Keer

Center for Surface Engineering and Tribology, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208l-keer@northwestern.edu

J. Tribol 131(2), 021409 (Mar 09, 2009) (6 pages) doi:10.1115/1.3085944 History: Received May 17, 2007; Revised January 27, 2009; Published March 09, 2009

Elastic-plastic contact of a smooth sphere and a half-space with a real machined surface is simulated using an integration-based multilevel contact model. The total surface deflection is composed of bulk and asperity deformations. They are calculated at the global and the asperity level, respectively, which are connected through the asperity-supporting load. With this new model, the accurate contact area and contact pressure under a given load are quickly predicted using a relatively coarse grid system. The calculated load-area curve shows good agreement with the experimental data. Finally, the effects of the surface topography, including roughness and the asperity radius, upon the real contact area are analyzed.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 3

Flowchart of the iterative process for the multilevel model

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Figure 4

Comparison of the real contact region between the multilevel model (a) and the single-level model (b)

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Figure 5

Comparison of the contact area and supporting load of the asperities along the central x-axis between the multiscale and the single-scale model

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Figure 6

Surface bulk deflection and maximum asperity displacement in each asperity along the central x-axis

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Figure 7

Comparison of the contact load versus contact area curves between the multilevel model and a few other models including the experimental test

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Figure 8

Dependence of the normalized mean pressure on surface roughness for the multilevel and the single-level model

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Figure 9

Dependence of the normalized mean pressure on the asperity peak radius for the multilevel and the single-level model

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Figure 1

Diagram of the multilevel model

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Figure 2

Load-approach curves for the asperity-level model

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