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Research Papers: Contact Mechanics

Contact Area and Static Friction of Rough Surfaces With High Plasticity Index

[+] Author and Article Information
L. Li1

 Harbin Institute of Technology, Harbin 150001, China; University of California, San Diego, La Jolla, CA 92093-0401longqiuli@gmail.com

I. Etsion

 Technion-Israel Institute of Technology, Haifa 32000, Israel

F. E. Talke

 University of California, San Diego, La Jolla, CA 92093-0401

1

Corresponding author.

J. Tribol 132(3), 031401 (Jun 04, 2010) (10 pages) doi:10.1115/1.4001555 History: Received November 17, 2009; Revised March 30, 2010; Published June 04, 2010; Online June 04, 2010

A model for the contact area and static friction of nominally flat rough surfaces and rough spherical surfaces is presented. The model extends previously published models, which are limited to plasticity index values below 8, to higher plasticity index values by accounting for fully plastically deformed asperities based on finite element results by Jackson and Green [2005, “A Finite Element Study of Elasto-Plastic Hemispherical Contact Against a Rigid Flat,” Trans. ASME, J. Tribol., 127, pp. 343–354]. The present model also corrects some deficiencies of the earlier models at very small plasticity index values below 0.5.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of a contact model for nominally flat rough surfaces

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Figure 2

Schematic of a model for rough spherical contact showing an equivalent rough flat and a smooth sphere

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Figure 3

The dimensionless separation h∗ as a function of the dimensionless normal load P/AnY for different values of the plasticity index ψ

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Figure 4

The dimensionless contact area A0/An as a function of the dimensionless normal load P/AnY for different values of the plasticity index ψ

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Figure 5

The parameters m and B of Eq. 35 versus the plasticity index ψ

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Figure 6

The dimensionless maximum tangential load Qmax/AnY as a function of the dimensionless normal load P/AnY for different values of the plasticity index ψ

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Figure 7

The parameters n and C of Eq. 37 versus the plasticity index ψ

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Figure 8

The static friction coefficient μ as a function of the dimensionless normal load P/AnY for different values of the plasticity index ψ

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Figure 9

The dimensionless separation h0∗ as a function of the dimensionless normal load P/Lcsphere for different values of the plasticity index ψ for the spherical contact model

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Figure 10

The ratio of the real contact area A0/An as a function of the dimensionless normal load P/Lcsphere for different values of the plasticity index ψ for the spherical contact model

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Figure 11

The dimensionless real contact area A0/Acsphere as a function of the dimensionless normal load P/Lcsphere for different values of the plasticity index ψ for the spherical contact model

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Figure 12

The dimensionless maximum tangential load Qmax/Lcsphere as a function of the dimensionless normal load P/Lcsphere for different values of plasticity index ψ for the spherical contact model

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Figure 13

Load interference ratio KL as a function of dimensionless interference ω/ωc in the fully plastic regime

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Figure 14

Contact area interference ratio KA as a function of dimensionless interference ω/ωc in the fully plastic regime

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