{"title":"A contact model for elastic-plastic rough spheres","authors":"Shi-Wen Chen, Gang-Feng Wang","doi":"10.1016/j.triboint.2025.110578","DOIUrl":null,"url":null,"abstract":"<div><div>The contact of rough spheres is critical in many fields, yet analyzing the effects of roughness and plasticity on the load-area relation is challenging. This paper presents a model for rough elastic-plastic spheres in contact with a rigid plane. Using finite element simulations, we derive an explicit expression for contact pressure in smooth elastic-plastic spheres. For rough spheres, the local load is estimated from this expression, and the local real contact area is determined by the contact behavior of nominally flat elastic-plastic solids, which is established for whole-range using finite element method. By integrating across the contact region, the total real contact area is calculated. The model aligns well with finite element and experimental results, confirming its accuracy and applicability.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"206 ","pages":"Article 110578"},"PeriodicalIF":6.1000,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tribology International","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0301679X25000738","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The contact of rough spheres is critical in many fields, yet analyzing the effects of roughness and plasticity on the load-area relation is challenging. This paper presents a model for rough elastic-plastic spheres in contact with a rigid plane. Using finite element simulations, we derive an explicit expression for contact pressure in smooth elastic-plastic spheres. For rough spheres, the local load is estimated from this expression, and the local real contact area is determined by the contact behavior of nominally flat elastic-plastic solids, which is established for whole-range using finite element method. By integrating across the contact region, the total real contact area is calculated. The model aligns well with finite element and experimental results, confirming its accuracy and applicability.
期刊介绍：
Tribology is the science of rubbing surfaces and contributes to every facet of our everyday life, from live cell friction to engine lubrication and seismology. As such tribology is truly multidisciplinary and this extraordinary breadth of scientific interest is reflected in the scope of Tribology International.
Tribology International seeks to publish original research papers of the highest scientific quality to provide an archival resource for scientists from all backgrounds. Written contributions are invited reporting experimental and modelling studies both in established areas of tribology and emerging fields. Scientific topics include the physics or chemistry of tribo-surfaces, bio-tribology, surface engineering and materials, contact mechanics, nano-tribology, lubricants and hydrodynamic lubrication.
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