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1、TribologyTransactions,54:300-314,2011CopyrightCSocietyofTribologistsandLubricationEngineersISSN:1040-2004print/1547-397XonlineDOI:10.1080/10402004.2010.542277OntheModelingofElasticContactbetweenRoughSurfacesROBERTL.JACKSON1andITZHAKGREEN21DepartmentofMechanicalEngineeringAuburnUniversity
2、Auburn,Alabama,USA2WoodruffSchoolofMechanicalEngineeringGeorgiaInstituteofTechnologyAtlanta,Georgia,USAThecontactforceandtherealcontactareabetweenroughINTRODUCTIONsurfacesareimportantinthepredictionoffriction,wear,Forpracticingengineersinindustryitisimportanttohaveadhesion,andelectricala
3、ndthermalcontactresistance.Overclosed-form,easy-to-useequationsthatcanbeusedtopredictthelastfourdecadesvariousmathematicalmodelshavebeentherealcontactareaandrelateittothefriction,wear,adhesion,developed.Builtonverydifferentassumptionsandunderlyingandelectricalandthermalcontactresistance.
4、Theabilitytoac-mathematicalframeworks,modelagreementoreffectivenesscuratelypredictrealcontactareaasafunctionofloadforroughhasneverbeenthoroughlyinvestigated.Thisworkusesseveralsurfacecontactisadifficulttaskduetothecomplexnatureofmeasuredprofilesofrealsurfaceshavingvastlydifferentrealsurfac
5、es.Manymodelshavebeenproposedovertheyearsforthepredictionoftherealareaofcontactbetweenroughsur-roughnesscharacteristicstopredictcontactareasandforcesfaces.OneoftheveryfirstofthesemodelsisthatbyArchard(1),fromvariouselasticcontactmodelsandcontrastthemtoade-whoshowedthatalthoughsingleasperi
6、tycontactmightresultinaterministicfastFouriertransform(FFT)-basedcontactmodel.nonlinearrelationbetweenareaandload,byincorporatingmulti-Thelatterisconsidered“exact”becausesurfacesareanalyzedplescalesofroughnesstherelationshipbecomeslinear.Archardastheyaremeasured,accountingforallpeaksandv
7、alleys(1)usedaconceptwheresphericalasperitiesarestackeduponwithoutcompromise.Thoughmeasurementuncertaintiesandeachother,eachwithasmallerradiusofcurvature.Thisstacked-resolutionissuesprevail,thesamesurfacesarekeptconstanttypemodelhadlargelybeenabandonedafterthestatistics-b
