含幣形裂紋功能梯度材料軸對稱接觸問題的線性分層方法.pdf

1、寧夏大學(xué)碩士學(xué)位論文含幣形裂紋功能梯度材料軸對稱接觸問題的線性分層方法姓名：張炳彩申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：李星201103IIAbstractAbstractAbstractAbstractThemechanicalbehaviofavarietyofengineeringsystemssuchastransmittinggearsslidingrollingbearingsscrewthreadstrainwheel

2、sraildependsontheinteractionofcontactingbodies.Inthecourseofthecontactthecontactareawillgivebirthtohighresidual.Thefunctionalgradientmaterialasanewkindofadvancedcompositesitcombinesvariouspropertiesofitsconstituentsuseda

3、scoatingsinterfacialzonescanmaintainmechanicalloadstokeepstructurestiffnessreducestressconcentrationresultingfrommaterialpropertymismatchthethermalstressincreasethebondingstrengthfracturetoughness.Recentlythemainstudiesf

4、functionalgradientcoatingofexperimenttheeticalachievementarefocusonthetwodimensionalproblemshowevertheinvestigationfthreedimensionalcontactproblemsaxisymmetricproblemsisfew.Therefethisthesisconsiderstheaxisymmetriccontac

5、tproblemoffunctionalgradientcoatingwithshearmodulusisthelinearfunctionbyusinglinearmultilayeredmethod.Therearefourchaptersinthisthesis.Theprogressionsfstudyingoffunctionallygradedmaterialelasticcontactproblemareintroduce

6、dinthefirstchapterinthesecondchaptertheaxisymmetriccontactproblemoffunctionalgradedmaterialswithpennyshapedcrackisinvestigatedaxisymmetriccontactproblemoffunctionallygradedmaterialsstripwithpennyshapedcrackbondedtoonehom

7、ogeneousstriphalfhomogeneousspaceisstudiedinthethirdchapter.ByusingsuperpositionprinciplelinearmultilayeredmethodHankeltransfmstotheproblemunderconsideringtheprimaryproblemistransfmedintosingularintegralequationswiththeC

8、auchykernelthelatterisnumericallysolvedbyquadraturemethodtheanalyticalexpressionsofthestressintensityfactareobtained.Conclusionsomesuggestionsareintroducedinthefourthchapter.KeyKeyKeyKeyWds:Wds:Wds:Wds:Fuctionallygradedm