Fractal modeling of normal contact stiffness for rough surface contact considering the elastic–plastic deformation

Xiao, Huifang; Sun, Yunyun; Chen, Zaigang

doi:10.1007/s40430-018-1513-x

Cited by 25 publications

(13 citation statements)

References 28 publications

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“…Regarding the theoretical modeling of dry contact interface, asperity-based statistical models (Chang et al, 1987; Greenwood and Williamson, 1966; Zhao et al, 2000) are developed. Surface fractal models are also established to investigate the contact characteristics (Majumdar and Bhushan, 1991; Morag and Etsion, 2007; Xiao et al, 2019). Recently, the virtual material hypothesis-based method (Ahmadian et al, 2006; Tian et al, 2011) has proven to describe the contact characteristics effectively in engineering applications, such as bolted joint (Ye et al, 2016) and spindle-holder taper joint (Guo et al, 2015).…”

Section: Introductionmentioning

confidence: 99%

Prediction of the normal contact stiffness between elastic rough surfaces in lubricated contact via an equivalent thin layer

Sun

Chuang

Xiao

et al. 2020

Journal of Vibration and Control

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In this work, the normal contact stiffness of lubricated rough interface is evaluated theoretically by describing the lubricated rough interface as an equivalent thin layer. Layer parameters, including equivalent thickness and effective Young’s modulus, are used to characterize the normal contact stiffness by incorporating the contributions of asperity contact and lubricant contact simultaneously. On the basis of layer parameters, the normal contact stiffness of lubricated rough interface is obtained as a function of interfacial separation, surface topography, and properties of contacting solids and lubricants. Effects of surface topographies and lubricant types on the normal contact stiffness are investigated at varying interfacial separations and contact area fractions. The proportion of solid stiffness and lubricant stiffness from the total normal stiffness is also discussed. Numerical solutions reveal that the normal contact stiffness depends sensitively on the lubricant property at initial contact, whereas the influences of surface topographies become obvious with the decrement of interfacial separation or increment of contact area fraction. Comparisons between the predicted values of normal contact stiffness and experimental data for both dry interface and lubricated interface are presented to validate the rationality of the developed model.

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Section: Introductionmentioning

confidence: 99%

Prediction of the normal contact stiffness between elastic rough surfaces in lubricated contact via an equivalent thin layer

Sun

Chuang

Xiao

et al. 2020

Journal of Vibration and Control

Self Cite

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“…Therefore, the normal contact stiffness K0 can be expressed as a function of actual contact area of the largest asperity [25], and Eq. (8) can be simplified as follows:…”

Section: Normal Contact Stiffness Of the Remaining Zonementioning

confidence: 99%

Theoretical and Experimental Study on Normal Contact Stiffness of Joint Surfaces with Surface Texturing

Yin

Huang

Zhou

et al. 2020

Preprint

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Effects of surface texturing on the normal contact stiffness of joint surfaces had been investigated by experiments in many previous researches; however, there are relatively few theoretical models in this regard. The rough surface with surface texturing can be divided into two parts: the textured zone and the remaining zone, and their theoretical models are established respectively in this research. For the textured zone, the texture is modeled theoretically based on the three-dimensional topographic data obtained via a 3D-CCMP1 type laser profilometer from TRIMOS. For the remaining zone, the model of normal contact stiffness is established based on the fractal theory for the surface topography description and elastic-plastic deformation of surface asperities, and the structure function method is used to calculate the fractal dimension of rough surface profiles. In the experiment, the normal contact stiffness of specimens is obtained under different normal loads, and the test results are compared with the theoretical predictions. The result shows that the predictions of proposed theoretical model are in good agreement with the experimental data. For the joint surfaces with Sa>2.69 μm, the normal contact stiffness can be effectively increased through proper surface texturing.

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“…On the basis of the multi-stage deformation theory, Xiao et al (2019) focused on the smoothness at the transition point of different deformation stages and established a new elasticplastic rough contact model which overcomes the shortcomings of discontinuity caused by previous models.…”

Section: Introductionmentioning

confidence: 99%

Estimation for normal contact stiffness of joint surfaces by considering the variation of critical deformation

Sun

Liu²,

et al. 2020

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Purpose This paper aims to study the relationship between normal contact stiffness and contact load. It purpose a new calculation model of the normal contact stiffness of joint surfaces by considering the elastic–plastic critical deformation change of asperities contact. Design/methodology/approach The paper described the surface topography of joint surfaces based on fractal geometry, and fractal parameters and of fractal function derived from measurement data. According to the plastic–elastic contact theory, the contact deformation characteristic of asperities was analyzed; the critical deformation estimation model was presented, which expressed critical deformation as the function of fractal parameters and contact deformation; the contact stiffness calculation model of single asperity was brought forward by considering critical deformation change. Findings The paper combined the surface topography description function, analyzed the asperity contact states by considering the critical deformation change, and calculated normal contact stiffness based on fractal theory and contact deformation analysis. The comparison between theoretical contact stiffness and experimental data indicated that the theoretical normal contact stiffness agreed with the experimental data, and the estimation model for normal contact stiffness was appropriate. Research limitations/implications Owing to the possibility of plastic deformation during the loading process, the experimental curve between the contact stiffness and the contact load is nonlinear, resulting in an error between the experimental results and the theoretical calculation results. Originality/value The paper established the relationship between critical deformation and fractal surface topography by constructing asperity distribution function. The paper proposed a new normal contact stiffness calculation model of joint surfaces by considering the variation of critical deformation in contact process.

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Fractal modeling of normal contact stiffness for rough surface contact considering the elastic–plastic deformation

Cited by 25 publications

References 28 publications

Prediction of the normal contact stiffness between elastic rough surfaces in lubricated contact via an equivalent thin layer

Prediction of the normal contact stiffness between elastic rough surfaces in lubricated contact via an equivalent thin layer

Theoretical and Experimental Study on Normal Contact Stiffness of Joint Surfaces with Surface Texturing

Estimation for normal contact stiffness of joint surfaces by considering the variation of critical deformation

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