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1、InternationalJournalofSolidsandStructures49(2012)929–945ContentslistsavailableatSciVerseScienceDirectInternationalJournalofSolidsandStructuresjournalhomepage:www.elsevier.com/locate/ijsolstrTractiverollingcontactmechanicsofgradedcoatingsa,⇑bbMehmetA.Guler,SaeedAdibnazari,YadolahA
2、liniaaDepartmentofMechanicalEngineering,TOBBUniversityofEconomicsandTechnology,Ankara06560,TurkeybDepartmentofAerospaceEngineering,SharifUniversityofTechnology,AzadiStreet,Tehran,IranarticleinfoabstractArticlehistory:Inthisstudy,thetractiverollingcontactproblembetweenarigidcylind
3、erandagradedcoatingisinves-Received8August2011tigated.Themainobjectiveofthisstudyistoinvestigatetheeffectofthestiffnessratio,thecoefficientofReceivedinrevisedform13November2011frictionandthecoatingthicknessonthesurfacecontacttractions,thesurfacein-planestress,thestickAvailableonli
4、ne24December2011zonelengthandthecreepratioparameterthatmayhaveabearingonthefatiguelifeofthecomponent.Assumingthattheshearmodulusvariesexponentiallythroughthethicknessofthecoating,thegovern-Keywords:ingintegralequationsassociatedwiththerollingcontactproblemareconstructed.Furthermo
5、re,itissup-Contactmechanicsposedthatthecontactpatchiscontrolledbyacentralstickzoneaccompaniedbytwoslipzones.TheRollingcontactconventionalGoodmanapproximationisemployedinordertodecouplethegoverningsingularintegralFunctionallygradedmaterialsSingularintegralequationsequations.Finall
6、y,thenumericalsolutionoftheintegralequationsisobtainedbyapplyingtheContactstressesGauss–Chebyshevintegrationmethod.Ó2011ElsevierLtd.Allrightsreserved.1.Introductionloadingconditions.Thetechnicalliteratureonthecontactmechan-icsstudiesofFGMcoatingsisquiteextensive.Forexample,stress
7、Althoughcoatingsareextensivelyusedtoenhanceandmodifyanalysisforanon-homogeneoussubstrateunderpointandaxi-thesurfacepropertiesofengineeringmaterialsandcomponents,symmetricloadconditionswasstudiedbyGiannakopoulosandconventionalhomogeneouscoatingsarestillsusceptibletocreep,Suresh(19
8、97a,b).Theyassumedexponentialandpowerlaw
