含幣形裂紋功能梯度材料軸對(duì)稱(chēng)接觸問(wèn)題的線(xiàn)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(duì)稱(chēng)接觸問(wèn)題的線(xiàn)性分層方法姓名：張炳彩申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)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