Discrete Greenwood-Williamson Modeling of Rough Surface Contact Accounting for Three-Dimensional Sinusoidal Asperities and Asperity Interaction

doi:10.1115/1.4044635

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	Discrete Greenwood-Williamson Modeling of Rough Surface Contact Accounting for Three-Dimensional Sinusoidal Asperities and Asperity Interaction
	Zhang S 2,3; Song H 4; Sandfeld S 4; Liu XM(刘小明)2,3; Wei YG(魏悦广)1
刊名	JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME
	2019-12-01
卷号	141 期号:12 页码:11
关键词	discrete GW model Hertz solution asperity interaction plasticity contact area surface roughness and asperities
ISSN号	0742-4787
DOI	10.1115/1.4044635
通讯作者	Song, H.(Hengxu.Song@imfd.tu-freiberg.de) ; Liu, X.(Xiaomingliu@lnm.imech.ac.cn)
英文摘要	The Greenwood-Williamson (GW) model has been one of the commonly used contact models to study rough surface contact problems during the past decades. While this has been a successful model, it still has a number of restrictions: (i) surface asperities are spheres; (ii) the overall deformation must be assumed to be small enough, such that there is no interaction between asperities, i.e., they are independent of each other; and (iii) asperity deformation remains elastic. This renders the GW model unrealistic in many situations. In the present work, we resolve above restrictions in a discrete version of the GW model: instead of spherical asperities, we assumed that the surface consists of three-dimensional sinusoidal asperities which appear more similar to asperities on a rough surface. For single asperity mechanical response, we propose a Hertz-like analytical solution for purely elastic deformation and a semi-analytical solution based on finite element method (FEM) for elastic-plastic deformation. The asperity interaction is accounted for by discretely utilizing a modified Boussinesq solution without consideration of asperity merger. It is seen that the asperity interaction effect is more than just the delay of contact as shown in the statistical model, it also contributes to the loss of linearity between the contact force and the contact area. Our model also shows that: for elastic contact, using spherical asperities results in a larger average contact pressure than using sinusoids; when plasticity is taken into account, using a sphere to represent asperities results in a softer response as compared with using sinusoids. It is also confirmed that sinusoidal asperities are a much better description than spheres, by comparison with fully resolved FEM simulation results for computer-generated rough surfaces.
分类号	二类
资助项目	National Natural Science Foundation of China[11772334] ; National Natural Science Foundation of China[11572329] ; National Natural Science Foundation of China[11672301] ; National Key R&D Program of China[2017YFA0204402] ; Youth Innovation Promotion Association CAS[2018022] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040501]
WOS关键词	STIFFNESS ; BEHAVIOR
WOS研究方向	Engineering
语种	英语
WOS记录号	WOS:000506898900002
资助机构	National Natural Science Foundation of China ; National Key R&D Program of China ; Youth Innovation Promotion Association CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences
其他责任者	Song, H. ; Liu, X.
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/81314]
专题	力学研究所_非线性力学国家重点实验室
作者单位	1.Peking Univ, Coll Engn, Beijing 100871, Peoples R China 2.Univ Chinese Acad Sci Beijing, Sch Engn Sci, Beijing 100049, Peoples R China; 3.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China; 4.TU Bergakad Freiberg, Inst Mech & Fluid Dynam, Micromech Mat Modelling Grp, D-09599 Freiberg, Germany;
推荐引用方式 GB/T 7714	Zhang S,Song H,Sandfeld S,et al. Discrete Greenwood-Williamson Modeling of Rough Surface Contact Accounting for Three-Dimensional Sinusoidal Asperities and Asperity Interaction[J]. JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME,2019,141(12):11.
APA	Zhang S,Song H,Sandfeld S,刘小明,&魏悦广.(2019).Discrete Greenwood-Williamson Modeling of Rough Surface Contact Accounting for Three-Dimensional Sinusoidal Asperities and Asperity Interaction.JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME,141(12),11.
MLA	Zhang S,et al."Discrete Greenwood-Williamson Modeling of Rough Surface Contact Accounting for Three-Dimensional Sinusoidal Asperities and Asperity Interaction".JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME 141.12(2019):11.