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Research Papers: Contact Mechanics

Static Friction Model of Elastic-Plastic Contact Behavior of Surface With Elliptical Asperities

[+] Author and Article Information
Yeau-Ren Jeng

Department of Mechanical Engineering, National Chung Cheng University, 168 University Road, Ming-Hsiung, Chia-Yi 621, Taiwanimeyrj@ccu.edu.tw

Shin-Rung Peng

Department of Mechanical Engineering, National Chung Cheng University, 168 University Road, Ming-Hsiung, Chia-Yi 621, Taiwan

J. Tribol 131(2), 021403 (Mar 05, 2009) (10 pages) doi:10.1115/1.3075857 History: Received April 01, 2008; Revised December 25, 2008; Published March 05, 2009

The friction coefficient (μ) of a contact surface with elliptical asperities is examined at various values of the plasticity index (ψ), the effective radius ratio (γ), the shear-strength-pressure proportionality constant (c), and the dimensionless limiting interfacial shear strength (τ¯m). The results demonstrate that the friction coefficient of the contact system increases with an increasing value of γ but decreases with an increasing value of ψ. Furthermore, it is shown that Amonton’s law is applicable for contact systems with either a low ψ and a high τ¯m or a high ψ and a low τ¯m. Analyzing the ratio of the nonelastic contact area, it is found that the asperities of a surface characterized by a large γ generally deform elastically at all values of the plasticity index, while those of a surface with a larger c deform plastically, particularly for surfaces with higher values of τ¯m and ψ. Finally, an inspection of the critical dimensionless real contact area shows that the contact mode of the surface is determined primarily by the value of the effective radius ratio.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Schematic representation of equivalent contact system; (b) the asperity shapes with various γ

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Figure 2

Variation in static friction coefficient with normal load as function of c and γ for ψ=0.7 and τ¯m=0.8

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Figure 3

Variation in static friction coefficient with normal load as function of c and γ for ψ=0.7 and τ¯m=0.4

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Figure 4

Variation in static friction coefficient with normal load as function of c and γ for ψ=2.0 and τ¯m=0.8

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Figure 5

Variation in static friction coefficient with normal load as function of c and γ for ψ=2.0 and τ¯m=0.4

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Figure 6

Variation in asperity-level friction coefficient with asperity height for ψ=0.7, c=0.6, h∗=1.0, and (a) τ¯m=0.8 and (b) τ¯m=0.4

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Figure 7

Variation in asperity-level friction coefficient with asperity height for ψ=2.0, c=0.6, h∗=1.0, and (a)τ¯m=0.8 and (b) τ¯m=0.4

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Figure 8

Variation in nonelastic contact area ratio with load as function of γ and c for ψ=0.7 and (a) τ¯m=0.8 and (b) τ¯m=0.4

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Figure 9

Variation in nonelastic contact area ratio with load as function of γ and c for ψ=2.0 and (a) τ¯m=0.8 and (b) τ¯m=0.4

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Figure 10

Effect of c on critical real area of contact with Ane∗/At∗=0.02 for (a) τ¯m=0.8 and (b) τ¯m=0.4

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