{"title":"A theoretical contact model for rough elastic spheres","authors":"Shiwen Chen, W. Yuan, X. Liang, G. Wang","doi":"10.1115/1.4062933","DOIUrl":null,"url":null,"abstract":"\n Investigating the contact of rough spheres is constructive to wide engineering applications and scientific research. However, the coexistence of global curvature and surface roughness brings difficulty in the analysis of this problem. In this work, we present a theoretical model for the contact between a rough elastic sphere and a rigid plane. As a fundament, the whole-range contact of nominally flat Gaussian rough surfaces is dealt with by using finite element method. With the load-area relation for the contact of nominally flat rough surfaces, the local real contact area of rough spherical contact is determined, in which the local pressure is given by the Hertzian model. Then, the total real contact area of rough spherical contact is obtained by integrating over the Hertzian contact area. It is found that the load-area relation for the contact of rough spheres is linear at light loads and converges to the result of smooth spherical contact as the load increases. This rough spherical contact model is validated through direct finite element simulations.","PeriodicalId":17586,"journal":{"name":"Journal of Tribology-transactions of The Asme","volume":"1 1","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Tribology-transactions of The Asme","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1115/1.4062933","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Investigating the contact of rough spheres is constructive to wide engineering applications and scientific research. However, the coexistence of global curvature and surface roughness brings difficulty in the analysis of this problem. In this work, we present a theoretical model for the contact between a rough elastic sphere and a rigid plane. As a fundament, the whole-range contact of nominally flat Gaussian rough surfaces is dealt with by using finite element method. With the load-area relation for the contact of nominally flat rough surfaces, the local real contact area of rough spherical contact is determined, in which the local pressure is given by the Hertzian model. Then, the total real contact area of rough spherical contact is obtained by integrating over the Hertzian contact area. It is found that the load-area relation for the contact of rough spheres is linear at light loads and converges to the result of smooth spherical contact as the load increases. This rough spherical contact model is validated through direct finite element simulations.
期刊介绍：
The Journal of Tribology publishes over 100 outstanding technical articles of permanent interest to the tribology community annually and attracts articles by tribologists from around the world. The journal features a mix of experimental, numerical, and theoretical articles dealing with all aspects of the field. In addition to being of interest to engineers and other scientists doing research in the field, the Journal is also of great importance to engineers who design or use mechanical components such as bearings, gears, seals, magnetic recording heads and disks, or prosthetic joints, or who are involved with manufacturing processes.
Scope: Friction and wear; Fluid film lubrication; Elastohydrodynamic lubrication; Surface properties and characterization; Contact mechanics; Magnetic recordings; Tribological systems; Seals; Bearing design and technology; Gears; Metalworking; Lubricants; Artificial joints
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