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1、CementandConcreteResearch35(2005)1948–1960ModelingthelinearelasticpropertiesofPortlandcementpasteC.-J.Haeckerd,1,E.J.Garboczia,*,J.W.Bullarda,R.B.Bohnb,Z.Sunc,S.P.Shahc,T.VoigtcaNationalInstituteofStandardsandTechnology,MaterialsandConstructionResearchDivision,Gaithersbur
2、g,MD20899,UnitedStatesbNationalInstituteofStandardsandTechnology,MathematicalandComputationalSciencesDivision,Gaithersburg,MD20899,UnitedStatescNorthwesternUniversity,DepartmentofCivilEngineering,Evanston,IL60208,UnitedStatesdSETyloseGmbHandCo.KG(Shin-Etsu),65203Wiesbaden
3、,GermanyReceived6March2005;accepted1May2005AbstractThelinearelasticmoduliofcementpastearekeyparameters,alongwiththecementpastecompressiveandtensilestrengths,forcharacterizingthemechanicalresponseofmortarandconcrete.Predictingthesemoduliisdifficult,asthesematerialsarerando
4、m,complex,multi-scalecomposites.Thispaperdescribeshowfiniteelementprocedurescombinedwithknowledgeofindividualphasemoduliareused,incombinationwithacementpastemicrostructuredevelopmentmodel,toquantitativelypredictelasticmoduliasafunctionofdegreeofhydration,asmeasuredbylosso
5、nignition.Comparisonbetweenmodelpredictionsandexperimentalresultsaregoodfordegreesof3hydrationof50%orgreater,forarangeofwater:cementratios.Atearlyages,theresolutionofthetypical100digitalmicrostructureisinadequatetogiveaccurateresultsforthetenuouscementpastemicrostructuret
6、hatexistsatlowdegreesofhydration.Elasticcomputations3weremadeonhigherresolutionmicrostructures,upto400,andcomparedtoearlyageelasticmodulidata.Increasingagreementwithexperimentwasseenastheresolutionincreased,evenwhenignoringpossibleviscoelasticeffects.PublishedbyElsevierLt
7、d.Keywords:Hydration;Microstructure;Elasticmoduli;Modeling1.Introductionrelatedtothestrain,ekl,viatheelasticmodulustensor,Cijkl:rij=Cijklekl.SinceweareonlyconsideringsmallThemechanicalpropertiesofcement-basedmaterialsarestrains,smallwithrespecttostrainsatfailure,wecanigno
8、realmostalwaysofprimaryimportanceinmaterialapplica-failure.Cement-basedmaterialsaremuchmorevisco
