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1、InternationalJournalofPlasticity26(2010)1402–1414ContentslistsavailableatScienceDirectInternationalJournalofPlasticityjournalhomepage:www.elsevier.com/locate/ijplasCoarse-grainingatomisticdynamicsofbrittlefracturebyfiniteelementmethodQianDeng,LimingXiong,YoupingChen*DepartmentofM
2、echanicalandAerospaceEngineering,UniversityofFlorida,Gainesville,FL32611,USAarticleinfoabstractArticlehistory:Inthisworkwepresentthefiniteelement(FE)implementationofanatomisticformulationReceived4October2009ofbalanceequationsanditsapplicationtocoarse-grained(CG)simulationofdynami
3、cfrac-Receivedinfinalrevisedform8April2010ture.First,wesimulateanotchedspecimenthatcontainsabout1.8millionatomsbytheAvailableonline22April2010CG-FEmethod,andwecomparetheCG-FEresultswiththatbyall-atommoleculardynam-ics(MD)simulations.WefindthatCG-FEsimulationswithabout5%degreesoffr
4、eedomofKeywords:theMDsimulationcancapturetheessentialdynamicfeatures,notinexactcorrespon-Atomisticformulationdence,butqualitativelyandquantitativelysimilartothatobtainedbyMDsimulations.Coarse-grainingWethenproceedtosimulateaseriesofmicron-sizedspecimensbytheCF-FEmethod.Finiteele
5、mentmethodDynamicfractureWefindthatitistheinteractionoftheforwardpropagatingcrackwiththestresswavesbeingreflectedbackbytheboundariesofthespecimenthattriggersthedynamicinstabil-ityandhencethebranchingofcracksinmicron-sizedspecimens.Thepotentialapplicationofthemethodandfutureworkfor
6、improvementsarediscussed.Ó2010ElsevierLtd.Allrightsreserved.1.IntroductionOverthepastcentury,ourunderstandingoffracturehassignificantlyadvancedduetomanysuccessfulexperimental,theoretical,andnumericaldevelopments.Nevertheless,theproblemoffracturebecomesmorechallengingastechnologie
7、sbecomemorecomplexandadvanced.Historically,theclassicalcontinuummechanicshasprovidedmostofthetheoreticalandcomputationaltoolforunderstandingoffracture.However,themathematicalframeworkthathasbeendevelopedforcontinuummechanicsisnotwellsuitedtosimulationofdynamicfracture,sincetheba
8、lanceequationsofcontinuummechanicsarepartialdif
