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1、ArchivesofHydro-EngineeringandEnvironmentalMechanicsVol.52(2005),No.3,pp.243–263©IBWPAN,ISSN1231–3726ModellingofConcreteBehaviourwithaNon-LocalContinuumDamageApproachJerzyBobiński,JacekTejchmanGdańskUniversityofTechnologyFacultyofCivilandEnvironmentalEng
2、ineering80-952Gdańsk,ul.Narutowicza11/12,Poland,e-mails:bobin@pg.gda.pl,tejchmk@pg.gda.pl(ReceivedApril14,2005;revisedJuly07,2005)AbstractThepaperpresentsFE-resultsonthebehaviourofconcreteunderplanestraincondi-tions.Thematerialwasmodelledusingasimpleisot
3、ropicdamagecontinuummodel.Themodelwasenrichedbynon-localtermstoavoidapathologicalmesh-sensitivityandtoobtainawell-posedrateboundaryvalueproblem.Theconstitutivemodelwasusedtosimulatelocalizationofdeformationin3benchmarkproblems:adouble-edgenotchedspecimen
4、underuniaxialtensionandanotchedbeamunderthree-andfour-pointbending.Attentionwaslaidontheeffectofacharacteristiclengthontheload-displacementcurvesandstrainlocalization.TheFE-resultswerecomparedwithexperimentsandothernumericalstudies.Keywords:characteristic
5、length,concrete,crack,damagemodel,FEM,non-localtheory1.IntroductionConcreteisahighlyheterogeneous,discrete,anisotropic,brittlematerialwithaverycomplexnon-linearmechanicalbehaviourduetotheoccurrenceoflocaliz-ationofdeformation.Thelocalizationofdeformation
6、canoccurascracks(modeI)ifcohesivepropertiesaredominantorshearzones(modeII)iffrictionalprop-ertiesprevail.Asaresultofstrainlocalization,materialsofteningtakesplaceandasignificantreductionofthematerialstiffnessduringcyclicloading-occurs.Anunderstandingofthem
7、echanismoftheformationoflocalizationisofcrucialimportancesincetheyactasaprecursortoultimatefractureandfailure.Todescribethebehaviourofquasi-brittlematerials,differentmodelshavebeendeveloped:continuumoneswithinfracturemechanics(BazantandCedolin1979,Hillebo
8、rg1989),damagemechanics(DragonandMróz1979,diPriscoandMazars1996,Chen1999,Ragueneauetal.2000),plasticity(WillamandWarnke1975,deBorst1986.Pietruszczaketal.1988,MenetreyandWillam1995,LadeandJakobsen2002,BobinskiandTejchman200
