a simple method to simulate shrinkage induced cracking

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1、ComputMechDOI10.1007/s00466-008-0323-xORIGINALPAPERAsimplemethodtosimulateshrinkage-inducedcrackingincement-basedcompositesbylattice-typemodelingJ.X.Liu·Z.Y.Zhao·S.C.Deng·N.G.LiangReceived:18June2008/Accepted:20July2008©Springer-Verlag2008AbstractAnewnumericalprocedureisproposedtoinves-Keyw

2、ordsShrinkage-inducedcracking·tigatecrackingbehaviorsinducedbymismatchbetweentheMismatchdeformation·Generalizedbeamlatticemodel·matrixphaseandaggregatesduetomatrixshrinkageinCement-basedcomposites·Mohr–Coulumbfailurecriterioncement-basedcomposites.Thiskindoffailureprocessesissimplifiedinthis

3、investigationasapurelyspontaneousmechanicalproblem,therefore,onemaindifficultyduring1IntroductionsimulatingthephenomenonliesthatnoexplicitexternalloadservesasthedrivetopropeldevelopmentofthisphysicalFracturemechanicshasmainlyfocusedonmaterials’process.Asaresult,itisdifferentfromclassicalmech

4、ani-failuresunderexternalmechanicalloads.Failures,however,calproblemsandseemshardtobesolvedbyusingdirectlysometimeshappenwithoutexplicitmechanicalloads.Fortheclassicalfiniteelementmethod(FEM),atypicalkindofexample,manyshrinkage-inducedmicro-orevenmacro-“load→medium→response”procedures.Asasol

5、ution,thelevelcrackscanbefoundinanunloadedandunstrainedactualmismatchdeformationfieldisdecomposedintotwoconcrete.Becauseshrinkageisnotcompletelyevitable,mostvirtualfields,bothofwhichcanbeobtainedbytheclassicalconcretespecimensforexperimentaluseinlaboratoriesareFEM.Thentheactualresponseisobtai

6、nedbyaddingtoge-actuallysystemsfilledwithpre-existingshrinkage-inducedtherthetwovirtualdisplacementfieldsbasedontheprinciplecracks(seeforinstance[12,15,26,29]).Althoughtheseofsuperposition.Then,criticalelementsaredetectedsucces-cracksarealsomicro-levelentitiesaswellasaggregates,sivelybytheeve

7、nt-by-eventtechnique.Themicro-structureinfluencesofshrinkage-inducedcracksonmacro-propertiesofcompositesisimplementedbyemployingthegeneralizedhavebeenrarelyconsidereddirectlyintheexistingbeam(GB)latticemodel.Numericalexamplesaregiventomicro-mechanicalmode