A Fractal Contact Model for Rough Surfaces considering the Variation of Critical Asperity Levels

A contact model for rough surfaces based on the fractal theory is proposed in the present work. Firstly, the deformation of the material is divided into four stages: elastic deformation, the first elastoplastic deformation, the second elastoplastic deformation, and full plastic deformation. And the...

Full description

Saved in:
Bibliographic Details
Main Authors: Yong Liu, Haodong Guo, Zhiying Chen, Kunying Ding, Min Dan, Baichun Li, Fangchao Yan
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2022/2985674
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832563262666833920
author Yong Liu
Haodong Guo
Zhiying Chen
Kunying Ding
Min Dan
Baichun Li
Fangchao Yan
author_facet Yong Liu
Haodong Guo
Zhiying Chen
Kunying Ding
Min Dan
Baichun Li
Fangchao Yan
author_sort Yong Liu
collection DOAJ
description A contact model for rough surfaces based on the fractal theory is proposed in the present work. Firstly, the deformation of the material is divided into four stages: elastic deformation, the first elastoplastic deformation, the second elastoplastic deformation, and full plastic deformation. And the variation of material hardness is considered when analyzing the contact characteristics of a single asperity within the first and second elastoplastic deformation stages. Secondly, the size distribution function of contact spots at different frequency levels is derived. And the expressions of asperity critical frequency levels are rederived. Lastly, the feasibility and credibility of the proposed model are verified by comparison with other contact models and experimental data. The results show that when the variation of the material hardness is considered, the contact area of a single asperity in the first elastoplastic deformation stage becomes larger, while the contact area of a single asperity in the second elastoplastic deformation stage becomes smaller. Moreover, the critical asperity frequency levels of the rough surface are not constant, but the variables are related to the total real contact area of the rough surface and decrease as the real contact area increases. The proposed model is a modification and improvement of the existing fractal contact models, which can lead to a more accurate relationship between the contact load and the total real contact area of the rough surface.
format Article
id doaj-art-569fc757f59f4d93b05edd6ddefaabbc
institution Kabale University
issn 1687-8442
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Advances in Materials Science and Engineering
spelling doaj-art-569fc757f59f4d93b05edd6ddefaabbc2025-02-03T01:20:36ZengWileyAdvances in Materials Science and Engineering1687-84422022-01-01202210.1155/2022/2985674A Fractal Contact Model for Rough Surfaces considering the Variation of Critical Asperity LevelsYong Liu0Haodong Guo1Zhiying Chen2Kunying Ding3Min Dan4Baichun Li5Fangchao Yan6College of Aeronautical EngineeringCollege of Aeronautical EngineeringResearch Institute of Aero-EngineCollege of Aeronautical EngineeringCollege of Aeronautical EngineeringCollege of Aeronautical EngineeringTianjin Bool Technology Co LtdA contact model for rough surfaces based on the fractal theory is proposed in the present work. Firstly, the deformation of the material is divided into four stages: elastic deformation, the first elastoplastic deformation, the second elastoplastic deformation, and full plastic deformation. And the variation of material hardness is considered when analyzing the contact characteristics of a single asperity within the first and second elastoplastic deformation stages. Secondly, the size distribution function of contact spots at different frequency levels is derived. And the expressions of asperity critical frequency levels are rederived. Lastly, the feasibility and credibility of the proposed model are verified by comparison with other contact models and experimental data. The results show that when the variation of the material hardness is considered, the contact area of a single asperity in the first elastoplastic deformation stage becomes larger, while the contact area of a single asperity in the second elastoplastic deformation stage becomes smaller. Moreover, the critical asperity frequency levels of the rough surface are not constant, but the variables are related to the total real contact area of the rough surface and decrease as the real contact area increases. The proposed model is a modification and improvement of the existing fractal contact models, which can lead to a more accurate relationship between the contact load and the total real contact area of the rough surface.http://dx.doi.org/10.1155/2022/2985674
spellingShingle Yong Liu
Haodong Guo
Zhiying Chen
Kunying Ding
Min Dan
Baichun Li
Fangchao Yan
A Fractal Contact Model for Rough Surfaces considering the Variation of Critical Asperity Levels
Advances in Materials Science and Engineering
title A Fractal Contact Model for Rough Surfaces considering the Variation of Critical Asperity Levels
title_full A Fractal Contact Model for Rough Surfaces considering the Variation of Critical Asperity Levels
title_fullStr A Fractal Contact Model for Rough Surfaces considering the Variation of Critical Asperity Levels
title_full_unstemmed A Fractal Contact Model for Rough Surfaces considering the Variation of Critical Asperity Levels
title_short A Fractal Contact Model for Rough Surfaces considering the Variation of Critical Asperity Levels
title_sort fractal contact model for rough surfaces considering the variation of critical asperity levels
url http://dx.doi.org/10.1155/2022/2985674
work_keys_str_mv AT yongliu afractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT haodongguo afractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT zhiyingchen afractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT kunyingding afractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT mindan afractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT baichunli afractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT fangchaoyan afractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT yongliu fractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT haodongguo fractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT zhiyingchen fractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT kunyingding fractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT mindan fractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT baichunli fractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels
AT fangchaoyan fractalcontactmodelforroughsurfacesconsideringthevariationofcriticalasperitylevels