Influence of surface topography on three-dimensional fractal model of sliding friction

Pan, Wujiu; Li, Xiaopeng; Wang, Linlin; Mu, Jiaxin; Yang, Zhou

doi:10.1063/1.4999036

Cited by 13 publications

(6 citation statements)

References 14 publications

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“…When asperities contact with each other, the radius r of actual contact area is (Pan et al, 2017a(Pan et al, , 2017b(Pan et al, , 2017c(Pan et al, , 2018a(Pan et al, , 2018bWen and Huang, 2012):…”

Section: Static Friction Analysis Of Asperity Scalementioning

confidence: 99%

“…The relation between area distribution function (Pan et al, 2017a(Pan et al, , 2017b(Pan et al, , 2017c(Pan et al, , 2018a(Pan et al, , 2018b) of asperity n(a) and the maximum contact area of asperity a 1 is:…”

Section: The Actual Contact Area Of Joint Surfacesmentioning

confidence: 99%

“…However, the traditional M-B fractal model, which neglects the elasticplastic deformation of the asperity only regards the deformation of the asperity as a direct transition from the elastic deformation to the plastic deformation. In fact, asperities need to undergo three stages of deformation as follows: the elastic deformation, the elastic-plastic deformation and the plastic deformation (Wang and Komvopoulos, 1994;Wang and Komvopoulos, 1994;Pan et al, 2017aPan et al, , 2017bPan et al, , 2017c. The elastic-plastic deformation stage occupies a certain proportion for the deformation process of a single asperity (Jackon and Itzhak, 2005).…”

Section: Introductionmentioning

confidence: 99%

“…The most important thing is that the static friction model above (Tian et al, 2013) based on fractal theory were established on the basis of two-dimensional fractal (1 < D s < 2). Using two-dimensional fractal model to calculate three-dimensional contact properties of rough surface is not reasonable in theory (Liou and Lin, 2010;Pan et al, 2017aPan et al, , 2017bPan et al, , 2017cPan et al, , 2018aPan et al, , 2018b.…”

Section: Introductionmentioning

confidence: 99%

“…The critical deformation of asperity at the stage of elastic deformation is (Pan et al, 2017a(Pan et al, , 2017b(Pan et al, , 2017c [Equation ( 21)]:…”

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confidence: 99%

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Contact mechanics of elastic-plastic fractal surfaces and static friction analysis of asperity scale

Pan

Wang

2020

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Purpose The purpose of this paper is to provide a static friction coefficient prediction model of rough contact surfaces based on the contact mechanics analysis of elastic-plastic fractal surfaces. Design/methodology/approach In this paper, the continuous deformation stage of the multi-scale asperity is considered, i.e. asperities on joint surfaces go through three deformation stages in succession, the elastic deformation, the elastic-plastic deformation (the first elastic-plastic region and the second elastic-plastic region) and the plastic deformation, rather than the direct transition from the elastic deformation to the plastic deformation. In addition, the contact between rough metal surfaces should be the contact of three-dimensional topography, which corresponds to the fractal dimension D (2 < D < 3), not two-dimensional curves. So, in consideration of the elastic-plastic deformation mechanism of asperities and the three-dimensional topography, the contact mechanics of the elastic-plastic fractal surface is analyzed, and the static friction coefficient nonlinear prediction model of the surface is further established. Findings There is a boundary value between the normal load and the fractal dimension. In the range smaller than the boundary value, the normal load decreases with fractal dimension; in the range larger than the boundary value, the normal load increases with fractal dimension. Considering the elastic-plastic deformation of the asperity on the contact surface, the total normal contact load is larger than that of ignoring the elastic-plastic deformation of the asperity. There is a proper fractal dimension, which can make the static friction of the contact surface maximum; there is a negative correlation between the static friction coefficient and the fractal scale coefficient. Originality/value In the mechanical structure, the research and prediction of the static friction coefficient characteristics of the interface will lay a foundation for the understanding of the mechanism of friction and wear and the interaction relationship between contact surfaces from the micro asperity-scale level, which has an important engineering application value.

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Section: Static Friction Analysis Of Asperity Scalementioning

confidence: 99%

Section: The Actual Contact Area Of Joint Surfacesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The critical deformation of asperity at the stage of elastic deformation is (Pan et al, 2017a(Pan et al, , 2017b(Pan et al, , 2017c [Equation ( 21)]:…”

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confidence: 99%

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