Research Papers: Contact Mechanics

Modeling Tangential Contact of Rough Surfaces With Elastic- and Plastic-Deformed Asperities

[+] Author and Article Information
Dong Wang

Institute of Systems Engineering,
China Academy of Engineering Physics,
Mianyang, Sichuan 621999, China
e-mail: king_east@sina.cn

Chao Xu

School of Astronautics,
Northwestern Polytechnical University,
Xi'an, Shaanxi 710072, China
e-mail: chao_xu@nwpu.edu.cn

Qiang Wan

Institute of Systems Engineering,
China Academy of Engineering Physics,
Mianyang, Sichuan 621999, China
e-mail: wanzhenyu@126.com

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received August 22, 2016; final manuscript received December 17, 2016; published online May 26, 2017. Editor: Michael Khonsari.

J. Tribol 139(5), 051401 (May 26, 2017) (8 pages) Paper No: TRIB-16-1275; doi: 10.1115/1.4035776 History: Received August 22, 2016; Revised December 17, 2016

A new tangential contact model between a rough surface and a smooth rigid flat is proposed in this paper. The model considers the contribution of both elastically deformed asperities and plastically deformed asperities to the total tangential load of rough surface. The method combining the Mindlin partial slip solution with the Hertz solution is used to model the contact formulation of elastically deformed asperities, and for the plastically deformed asperities, the solution combining the fully plastic theory of normal contact with the bilinear relation between the tangential load and deformation developed by Fujimoto is implemented. The total tangential contact load is obtained by Greenwood and Williamson statistical analysis procedure. The proposed model is first compared to the model considering only elastically deformed asperities, and the effect of mean separation and plasticity index on the relationship between the tangential load and deformation is also investigated. It is shown that the present model can be used to describe the stick–slip behavior of the rough surface, and it is a more realistic-based model for the tangential rough contact. A comparison with published experimental results is also made. The proposed model agrees very well with the experimental results when the normal load is small, and shows an error when the normal load is large.

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Fig. 1

Contact schematic of rough surface with multisummits: (a) real rough surface with a rigid smooth flat and (b) equivalent rough surface with a rigid smooth flat

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Fig. 2

Normal and tangential contact pressure distribution for elastic–plastic contact of single asperity: (a) elastically deformed asperity and (b) plastically deformed asperity

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Fig. 3

Stick–slip zone of elastically deformed asperity

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Fig. 4

Computational flowchart for contact load of rough surface

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Fig. 5

Normalized tangential deformation versus total tangential load for rough surface, when d* = 0: (a) ψ = 0.7, (b) ψ = 2.5

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Fig. 6

Gaussian distribution of asperity height and normal contact load of single asperity varying with normalized deformation

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Fig. 7

Normalized tangential deformation versus total tangential load for rough surface with different mean separation d*, when ψ = 0.7

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Fig. 8

Normalized tangential deformation versus total tangential load for rough surface with a different plasticity index ψ, when d* = 0

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Fig. 9

Comparison of proposed model and experimental test under different normal contact loads: (a) N = 234 N, f = 0.479 and (b) N = 526 N, f = 0.420



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