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1、ANewModelofSurfaceFlatteninginColdMetalRollingwithMixedLubricationHRLeandMPFSutcliffeCambridgeUniversityEngineeringDepartment,TrumpingtonStreet,Cambridge,CB21PZ,UKAbstractAnewmodelofsurfaceflatteningisdevelopedforcoldmetalrolling.Lubricationinthemixedregimeisconsidered,
2、wherethereisasperitycontactandsignificanthydrodynamicpressureinthelubricant.Thesurfaceismodelledashavingtwoseparatewavelengthsoflongitudinalroughnessrunningintherollingdirection.ThenewmodelfollowstheasperitycrushinganalysisofSutcliffeforunlubricatedrolling(Sutcliffe,199
3、8)butadditionallyincludesahydrodynamicmodeltoaccountfortheeffectofthelubricant.Anumericalschemeisdevelopedtosolvethesimultaneoushydrodynamicandasperitycrushingequations.Theresultsshowthattheshortwavelengthcomponentofthesurfaceroughnesspersistsmorethanthelongwavelengthco
4、mponent.Thepredictedchangesinroughnessareingoodagreementwithexperiments.Keywords:metalrolling,friction,lubrication,roughness,mixedregime,asperity,frictionTobesubmittedthe1999STLE/ASMEInternationalTribologyConference,January1999.ListofFiguresHLThesecaptionsneedchangingin
5、theFigures.1Schematicofthemetalrollingprocess2Cross-sectionofthecontactgeometrybetweenasmoothrollandstripwithatwo-wavelengthsurfaceroughness.TherollingdirectionisoutoftheplaneoftheFigure.3Planviewofthegeometryofthecontactpatchbetweenasmoothrollandstripwithatwo-wavelengt
6、hsurfaceroughnessOMITOldFig4-notechangeinorderoffig2and34Theeffectofreductionandspeedparameteronthesurfaceroughnessamplitudesandforlongandshortwavelengthroughness,.5Theeffectofandspeedparameteronthesurfaceroughnessamplitudesandforlongandshortwavelengthroughness.6Theeffe
7、ctofandspeedparameteronthesurfaceroughnessamplitudesandforlongandshortwavelengthroughness,.7Comparisonofthesurfaceroughnessamplitudesbymodelsandmeasurementsforr=25%,.1Comparisonofmeasuredandtheoreticalmodelsofthechangeinsurfaceroughnessamplitudesforr=50%,.2Regimemap;Nom
8、enclatureA(a)Fractionofcontactareaoflong(short)wavelengthMeanfilmthicknessConstantinReynolds’equationL(l)Long(
