Mechanics of Materials 333

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1、MechanicsofMaterials8(1990)333-348333ElsevierTHERMOELASTICPROPERTIESOFFIBERCOMPOSITESWITHIMPERFECTINTERFACEZ.HASHIN*DepartmentofMechanicalEngineeringandAppfiedMechanics,UniversityofPennsylvania,Philadelphia,PA19104-6315,U.S.A.Received20September1989Imperfectinterfaceconditionsaredef

2、inedintermsoflinearrelationsbetweeninterfacetractionsanddisplacementjumps.Allofthethermoelasticpropertiesofunidirectionalfibercompositeswithsuchinterfaceconditionsareevaluatedonthebasisofthegeneralizedselfconsistentscheme(GSCS)model.Resultsforelasticinterphaseareobtainedasaspecialca

3、sebyevaluationofinterfaceparametersintermsofinterphasecharacteristics.Numericalevaluationhasshownthatimperfectinterfacemayhaveasignificanteffectontransversethermalexpansioncoefficient,transverseshearandYoung'smoduliandaxialshearmodulus,amoderateeffectonaxialPoisson'sratio,smalleffec

4、tonaxialthermalexpansioncoefficientandaninsignificanteffectonaxialYoung'smodulus.1.Introduction~MATERIAL1Theliteratureontheanalyticaldeterminationofthethermoelasticpropertiesofcompositermaterialshasalmostinallcasesbeenconcerned........L.~._$12withwhatwillbeherereferredtoasperfectint

5、er-faces,whichmeansthattractionsanddisplace-mentsarecontinuousacrosstheinterface.How-ever,inmanycasesofinteresttheperfectinterfaceisnotanadequatemodel.Onesuchsituationisthepresenceofathinlayerorcoating,envelopingthereinforcingconstituent.Suchaninterfaciallayerisgenerallyreferredtoas

6、interphase.ItmayFig.1.Interface.beduetochemicalinteractionbetweenthecon-stituentsoritmaybeintroducedbydesigninordertoimprovethepropertiesofthecomposite.moreflexible.ThentheinterphaseeffectmaybeRecognitionoftheinterphaseassuchimpliesthatinterpretedasadisplacementjumpwhentravers-theco

7、mpositeisregardedasathreephasematerial.ingtheinterphasefromreinforcementtomatrixSuchadescriptionrequiresknowledgeofthein-whilethetractionsmustremaincontinuousfromterphaseproperties,informationwhichisrarelysimpleequilibriumconsiderations.Inthesimplestavailableprimarilybecausetheinter

8、phasematerialrepres