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1、Wear261(2006)13371347Amulti-scalemodelforcontactbetweenroughsurfacesRobertL.Jacksona,∗,JeffreyL.StreatorbaDepartmentofMechanicalEngineering,AuburnUniversity,Auburn,AL36849-5341,UnitedStatesbGeorgeW.WoodruffSchoolofMechanicalEngineering,GeorgiaInstituteofTechnology,At
2、lanta,GA30332-0405,UnitedStatesReceived20September2005;receivedinrevisedform2March2006;accepted10March2006Availableonline2May2006AbstractThisworkdescribesanon-statisticalmulti-scalemodelofthenormalcontactbetweenroughsurfaces.Themodelproducespredictionsforcontactareaa
3、safunctionofcontactload,andiscomparedtothetraditionalGreenwoodandWilliamson(GW)andMajumdarandBhushan(MB)roughsurfacecontactmodels,whichrepresentsingle-scalestatisticalandfractalanalyses,respectively.Thecurrentmodelincorporatestheeffectofasperitydeformationsatmultiple
4、scalesintoasimpleframeworkformodelingthecontactbetweennominallyflatroughsurfaces.SimilartotheprotuberanceuponprotuberancetheoryproposedbyArchard,themodelconsiderstheeffectofhavingsmallerasperitieslocatedontopoflargerasperitiesinrepeatedfashionwithincreasingdetaildownt
5、othelimitsofcurrentmeasurementtechniques.Theparametersdescribingthesurfacetopography(arealasperitydensityandasperityradius)arecalculatedfromanFFTperformedofthesurfaceprofile.Thus,themodelconsidersmulti-scaleeffects,whichfractalmethodshaveaddressed,whileattemptingtomor
6、eaccuratelyincorporatethedeformationmechanicsintothesolution.AftertheFFTofarealsurfaceiscalculated,thecomputationalresourcesneededforthemethodareverysmall.Perhapssurprisingly,thetrendsproducedbythisnon-statisticalmulti-scalemodelarequitesimilartothosearisingfromtheGW
7、andMBmodels,butseemlargelyunaffectedbythesamplingresolutionattheemployedsurfacedata.©2006ElsevierB.V.Allrightsreserved.Keywords:Contactmechanics;Surfaceroughness;Contactofroughsurfaces;Analysisandmodels1.Introductionelasticbodies,knownastheHertziansolution[2],toapopu
8、la-tionofasperitiesfollowingagivenstatisticalheightdistribution,Sincevirtuallyallengineeringsurfacesareroughtosomewhileassumingthat
