A loading fractal prediction model developed for dry-friction rough joint surfaces considering elastic–plastic contact

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

doi:10.1007/s00707-017-2100-4

Cited by 26 publications

(20 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The relation between the maximum contact area and the maximum interference can be given by Equations (34) and (35) [5] when single asperity is in the first elastoplastic stage and the second elastoplastic stage, respectively. ω ec a epc < a max ≤ a pc (35) When the surface is loaded in the elastoplastic stage in the end, the unloading process is equivalent to the inverse process of the loading process where the surface with the critical elastic contact area a u ec is loaded till a max , and the elastic loading model apply.…”

Section: Elastoplastic Stagementioning

confidence: 99%

“…By substituting Equations (33) and (34) into Equation 14, the relation between the contact area and the contact load of single asperity in the unloading process in the first elastoplastic stage can be written as:…”

Section: Elastoplastic Stagementioning

confidence: 99%

“…The effect of asperity interaction on contact stiffness was studied as well. Pan [33,34] established a normal contact stiffness fractal prediction model of dry-friction rough surface considering the friction factor based on three-dimensional fractal function, and the validity of the established model was verified by experiment. Shen [35] proposed a contact stiffness model in view of the influence of domain extension factor between two spherical rough surfaces and analyzed evolution of the elastic-plastic contact involving three distinct stages ranged from complete elastic through elastic-plastic to fully plastic deformation.…”

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

Modeling of the Loading–Unloading Contact of Two Cylindrical Rough Surfaces with Friction

et al. 2020

View full text Add to dashboard Cite

The first fractal model for the loading–unloading process between two cylindrical surfaces with friction is presented. The nonlinear relation between the real contact area and the contact load in different deformation stages are deduced for a load–unload cycle. The impacts of parameters in the model are discussed. The numerical results show that for a given dimensionless contact load, the dimensionless real contact area of the loading–unloading process of cylindrical contact surface with friction, as well as the differences of the dimensionless real contact area between the loading and unloading processes, increase with the increase of the loading interference and fractal dimension, decrease of the profile scaling parameter and curvature radius, or the substitution of external contact for internal contact.

show abstract

Section: Elastoplastic Stagementioning

confidence: 99%

Section: Elastoplastic Stagementioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 1 more Smart Citation

Modeling of the Loading–Unloading Contact of Two Cylindrical Rough Surfaces with Friction

et al. 2020

View full text Add to dashboard Cite

show abstract

“…However, the scale dependence is not mentioned in the fractal contact model considering friction. Based on the three-dimensional fractal theory, Pan [25] proposed a fractal load model for a rough friction surface considering elastoplastic contact between asperities and compared it to experimental data and other models to verify its validity. Wang [26] established a loadingunloading three-dimensional rough fractal spherical contact model for friction and obtained the actual contact area as a function of load during the loading and unloading process at different deformation stages.…”

Section: Introductionmentioning

confidence: 99%

A Three-Dimensional Fractal Contact Model for a Rough Friction Surface With Multiple-Scale Asperities

Liang

Bian

Liu

2021

Preprint

View full text Add to dashboard Cite

This paper describes a new fractal contact model for a rough three-dimensional friction surface considering scale dependence. The model predicts the total contact area as a function of contact load. The microcontact fractal model for asperities at multiple-scale levels is derived. The truncated area distribution function of asperities at multiple-scale levels is revised. The effects of each scale level and fractal parameters on the proposed model are evaluated by numerical simulations. Results obtained from the complex fractal model with several scales are accurate as demonstrated by comparing them to experimental results and models taken from literature. Friction and wear of rough surfaces can be further studied using the proposed model.

show abstract

“…When a machine works, it is inevitable that friction phenomenon exists on the joint surfaces of internal components. The tribology, which studies friction phenomenon is a discipline related to interactional surface theory, including physics (Wengen et al, 2018), materials (Siavash et al, 2019), mechanics (Zhong and Mackerle, 1992;Hamilton et al, 2010;Hulikal et al, 2018;Pan et al, 2018aPan et al, , 2018b, etc. Fractal theory has been applied in many fields of mechanical engineering such as contact modeling, dynamics and fault diagnosis.…”

Section: Introductionmentioning

confidence: 99%

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

Pan

Wang

2020

Self Cite

View full text Add to dashboard Cite

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.

show abstract

A loading fractal prediction model developed for dry-friction rough joint surfaces considering elastic–plastic contact

Cited by 26 publications

References 19 publications

Modeling of the Loading–Unloading Contact of Two Cylindrical Rough Surfaces with Friction

Modeling of the Loading–Unloading Contact of Two Cylindrical Rough Surfaces with Friction

A Three-Dimensional Fractal Contact Model for a Rough Friction Surface With Multiple-Scale Asperities

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

Contact Info

Product

Resources

About