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1、TheoreticalandAppliedFractureMechanics52(2009)26–39ContentslistsavailableatScienceDirectTheoreticalandAppliedFractureMechanicsjournalhomepage:www.elsevier.com/locate/tafmecAlgorithmforsimulatingfractureprocessesinconcretebylatticemodelinga,*bJ.X.Liu,N.G.LiangaDepartmentofMech
2、anicalandManufacturingEngineering,FacultyofEngineering,UniversityofManitoba,Winnipeg,Manitoba,CanadaR3T5V6bStateKeylaboratoryofNonlinearMechanics,InstituteofMechanics,ChineseAcademyofSciences,100080Beijing,ChinaarticleinfoabstractArticlehistory:Tosimulatefracturebehaviorsinco
3、ncretemorerealistically,atheoreticalanalysisonthepotentialques-Availableonline22June2009tioninthequasi-staticmethodispresented,thenanovelalgorithmisproposedwhichtakesintoaccounttheinertiaeffectduetounstablecrackpropagationandmeanwhilerequestsmuchlowercomputationalKeywords:eff
4、ortsthanpurelydynamicmethod.TheinertiaeffectduetoloadincreasingbecomeslessimportantandConcretecanbeignoredwiththeloadingratedecreasing,buttheinertiaeffectduetounstablecrackpropagationGeneralizedbeam(GB)latticemodelremainsconsiderablenomatterhowlowtheloadingrateis.Therefore,re
5、sultsmaybecomequestionableInertiaeffectifafractureprocessincludingunstablecrackingissimulatedbythequasi-staticprocedureexcludingQuasi-staticanddynamiccompletelyinertiaeffects.However,itrequiresmuchhighercomputationalefforttosimulateexperi-Fracturementswithnotveryhighloadingra
6、tesbythedynamicmethod.Inthisinvestigationwhichcanbetakenasanaturalcontinuation,thepotentialquestionofquasi-staticmethodisanalyzedbasedonthedynamicequationsofmotion.Onesolutiontothisquestionisthenewalgorithmmentionedabove.Numericalexamplesareprovidedbythegeneralizedbeam(GB)lat
7、ticemodeltoshowbothfractureprocessesunderdifferentloadingratesandcapabilityofthenewalgorithm.Ó2009ElsevierLtd.Allrightsreserved.1.Introductionsolvingclassicalproblemsofelasticity[11].Morerecently,ithasbeenemployedforsimulatingtheprogressivefailureinheteroge-Numericalanalysiso
8、ffractureprocessesinconcreteisaninter-neousmedia,especiallybytheoret