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

doi:10.1115/1.4044635

IMECH-IR > 非线性力学国家重点实验室

	Discrete Greenwood-Williamson Modeling of Rough Surface Contact Accounting for Three-Dimensional Sinusoidal Asperities and Asperity Interaction
	Zhang S 1,2; Song H3 ; Sandfeld S 3; Liu XM(刘小明)1,2 ; Wei YG(魏悦广)4
通讯作者	Song, H.(Hengxu.Song@imfd.tu-freiberg.de) ; Liu, X.(Xiaomingliu@lnm.imech.ac.cn)
发表期刊	JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME
	2019-12-01
卷号	141 期号:12 页码:11
ISSN	0742-4787
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.
关键词	discrete GW model Hertz solution asperity interaction plasticity contact area surface roughness and asperities
DOI	10.1115/1.4044635
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000506898900002
关键词[WOS]	STIFFNESS ; BEHAVIOR
WOS研究方向	Engineering
WOS类目	Engineering, Mechanical
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]
项目资助者	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
论文分区	二类
力学所作者排名	1
RpAuthor	Song, H. ; Liu, X.
引用统计	被引频次：11[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/81315
专题	非线性力学国家重点实验室
作者单位	1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci Beijing, Sch Engn Sci, Beijing 100049, Peoples R China; 3.TU Bergakad Freiberg, Inst Mech & Fluid Dynam, Micromech Mat Modelling Grp, D-09599 Freiberg, Germany; 4.Peking Univ, Coll Engn, Beijing 100871, Peoples R China
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.

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