Research Papers: Contact Mechanics

A Comparative Study on Equivalent Modeling of Rough Surfaces Contact

[+] Author and Article Information
Xi Shi

School of Mechanical Engineering,
Shanghai Jiao Tong University,
800 Dong-chuan Road,
Shanghai 200240, China
e-mail: xishi@sjtu.edu.cn

Yunwu Zou

School of Mechanical Engineering,
Shanghai Jiao Tong University,
800 Dong-chuan Road,
Shanghai 200240, China

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received June 18, 2017; final manuscript received November 18, 2017; published online March 2, 2018. Assoc. Editor: Stephen Boedo.

J. Tribol 140(4), 041402 (Mar 02, 2018) (8 pages) Paper No: TRIB-17-1239; doi: 10.1115/1.4039231 History: Received June 18, 2017; Revised November 18, 2017

Greenwood and Tripp (GT model) have proposed that the contact analysis of two rough surfaces (two-rough-surface contact model) could be considered as an equivalent rough surface in contact with a rigid flat (single-rough-surface contact model). In this paper, by virtue of finite element method, the normal contact analysis was performed with two-rough-surface contact model and its equivalent single-rough-surface contact model, and it was verified that the resultant normal contact forces are in good agreement with each other for these two models, meanwhile the equivalent stress is a little bit lower for two-rough-surface model due to shoulder-to-shoulder contact. In contrast, the sliding contact analysis was also performed with these two models, respectively, and the results show a great disparity with each other in all contact parameters due to the strong plowing effects in two-rough-surface model. Therefore, this equivalence approach proposed by Greenwood and Tripp is only valid for normal contact of rough surfaces and not valid for sliding contact.

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Fig. 1

Schematic of rough surfaces contact model: (a) two rough surfaces in contact and (b) the equivalent single rough surface in contact with a rigid flat

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Fig. 3

Normalized contact reaction forces under different mesh schemes

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Fig. 2

The FE mesh for (a) two-rough-surface model and (b) single-rough-surface model

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Fig. 4

Schematic of loading condition

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Fig. 5

Comparison of dimensionless normal contact force versus dimensionless normal displacement load

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Fig. 6

Comparison of equivalent stress contours for both models at two different normal load levels (a) two-rough-surface model at d/σ0 = 0.5; (b) single-rough-surface model at d/σ0 = 0.5; (c) two-rough-surface model at d/σ0 = 2.0; and (d) single-rough-surface model at d/σ0 = 2.0

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Fig. 7

The real contact area versus the nominal pressure with a material model of (a) bilinear isotropic hardening and (b) elastic–perfectly plastic

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Fig. 8

Comparison of dimensionless contact forces versus dimensionless sliding displacement during sliding contact

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Fig. 9

Comparison of dimensionless contact area versus dimensionless sliding displacement

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Fig. 10

Comparison of dimensionless contact forces versus dimensionless sliding displacement

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Fig. 11

Comparison of the COF versus dimensionless sliding displacement

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Fig. 12

Comparison of the equivalent stress contours for both models at two different dimensionless sliding displacements: (a) two-rough-surface model at s/l = 0.02; (b) single-rough-surface model at s/l = 0.02; (c) two-rough-surface model at s/l = 0.3; and (d) single-rough-surface model at s/l = 0.3



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