非完美界面复合材料有效传热性和弹性性能理论分析

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1、万方数据西南交通大学硕士研究生学位论文第1I页明有效弹性模量随纤维横截面半径变化而变化的趋势。最后，本篇论文对所做工作进行了总结。关键词：不完美界面，椭球夹杂，纤维复合材料，温度场跳跃，法向热流跳跃，位移场跳跃，法向应力不连续万方数据AbstractYhlstheslsalmsatobtainingeffectivemechanicalpropertiesasconductivityandlineartransVerse烈asticpropertiesofcompositeswithimperfectinterfacescharacter

2、izedbvt11egeneralizedimperfectinterfacemodel．’Thefirstgoalofthisthesisistoinvestigatetheeffectiveconductivitiesofacompositeconminingellipsoidalin_homogeneitythroughthegeneralimperfectinterfaces．ThegeneralInterfacemodelofthermalconductivityischaracterizedbytwojumprelations

3、．ThefirstonereadsthatthetemperaturejumpacrossallinterfaceisproportionaltotheinterfacialaverageofthenormaIheatfluxandthesecondexpressesthatthenormalheatflux．j啪pacrosst11eIntenace1sproportionaltothelocalsurfaceLaplacianoftheinterfacialaverageofthetemper栅e·Thewell-knownKapit

4、za’sresistanceandhighlyconductingimperfectInterfacemodelscarlbereferredastwoextremecasesofthegeneralinterfacemodelbvlettlngthe铆oscalarproportionalityparametersequalzerorespectively．Theellipsoidalnarnlonlcsandspheroidalharmonicsforprolateandoblateconfigurationsareutilizedt

5、oexp托ssthetemperaturefieldsinthecomposites．Theeffectiveconductivitiesofacompositecontalnmgprolate，oblateinclusionswithimperfectinterfaceatthediluteandnon．diluteconcentrationratioarederived．TheresultsareextendedtocomparewiththereverentresultsobtainedwithKapitza’sresistance

6、andhighlyconductingimperfectinterfacemode／sasacheck．NumericalexamplesarecarriedouttoillustratesomeresuIts．1hesecondgoaliSusingthegeneralizedself-consistentmethod(GSCM)toobtaintlleclosed’tomestimatesforthe5elasticmoduliofatransverselyisotropiccompositeconslstlngofanisotrop

7、icmatrixreinforcedbyunidirectionalisotropicfibersofcircularcross=section·Theinterfacesbetweenthematrixandthefibersinthiscompositearetakentobe1mperfectandcharacterizedbythegeneralelasticisotropicmodelwhichincludesasparticularcasesthewidelyusedelasticspring-layerandmembrane

8、．typeimperfectinterfacemodels·lhedisplacement，strainandstressfieldsinallinfinitehomogeneousmediu