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 S1,2; Song H3; Sandfeld S3; Liu XM(刘小明)1,2; Wei YG(魏悦广)4
Corresponding AuthorSong, H.(Hengxu.Song@imfd.tu-freiberg.de) ; Liu, X.(Xiaomingliu@lnm.imech.ac.cn)
Source PublicationJOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME
2019-12-01
Volume141Issue:12Pages:11
ISSN0742-4787
AbstractThe 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.
Keyworddiscrete GW model Hertz solution asperity interaction plasticity contact area surface roughness and asperities
DOI10.1115/1.4044635
Indexed BySCI ; EI
Language英语
WOS IDWOS:000506898900002
WOS KeywordSTIFFNESS ; BEHAVIOR
WOS Research AreaEngineering
WOS SubjectEngineering, Mechanical
Funding ProjectNational 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]
Funding OrganizationNational 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
Classification二类
Ranking1
ContributorSong, H. ; Liu, X.
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/81315
Collection非线性力学国家重点实验室
Affiliation1.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
Recommended Citation
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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