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时间:2019-03-11
《Thermal Conductivities of Unidirectional Materials.pdf》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、ThermalConductivitiesofUnidirectionalMaterialsGEORGES.SPRINGERMechanicalEngineeringDepartmentUniversityofMichiganAnnArbor,Michigan48104STEPHENW.TSAIDepartmentofSystems,Mechanical,andAerospaceEngineeringWashingtonUniversitySt.Louis,Missouri63130Inthispaperthecompo
2、sitethermalconductivitiesofunidirec-tionalcompositesarestudiedandexpressionsareobtainedforpre-dictingtheseconductivitiesinthedirectionsalongandnormaltothefilaments.Inthedirectionalongthefilamentanexpressionispresentedbasedontheassumptionthatthefilamentsandmatrixa
3、reconnectedinparallel.Inthedirectionnormaltothefilamentscompositethermalconductivityvaluesareobtainedfirstbyutiliz-ingtheanalogybetweentheresponseofaunidirectionalcompositetolongitudinalshearloadingandtotransverseheattransfer;secondbyreplacingthefilament-matrixco
4、mpositewithanidealizedther-malmodel.Theresultsoftheshearloadinganalogyagreereason-ablywellwiththeresultsofthethermalmodelparticularlyatfilamentcontentsbelowabout60%.Theseresultswerealsocom-paredtoexperimentaldatareportedintheliteratureandgoodagreementwasfoundbetw
5、eenthedataandthosetheoreticalre-sultsthatwerederivedforcircularfilamentsarrangedinasquarepackingarray.INTRODUCTIONONSmERABLECminationATTENTIONhasbeengiveninrecentyearstothedeter-ofthemechanicalpropertiesofcompositematerials.Rela-tivelylittleinformationisavailable
6、,however,onthermalproperties,althoughtheyareofinterestinsuchpracticalproblemsasheattransfercalculationsandevaluatingthethermoelasticbehaviorofmaterials.Thegoalsindeterminingthethermalpropertiesofcompositematerialsaresimilartothoseinmechanicalanalyses:giventhether
7、malpropertiesofeachoftheconstituents,theirproportionandgeometricalrelationships,findthethermalbehaviorofthecompositesystem.Inthispaperthermalconductivitiesofunidirectionalcompositeswillbediscussed.Theproblemwillbeapproachedfromtwodirections.Firstanumericalmethodw
8、illbepresentedbasedontheanalogybetweentheresponseoftheunidirectionalcompositetoshearloadingandtoheatJ.COMPOSITEMATERIALS,Vol.1(1967),p.166Figure1.Arrangementof
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