An element-failure algorithm for dynamic crack

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1、PERGAMONEngineeringFractureMechanics61(1998)407±425Anelement-failurealgorithmfordynamiccrackpropagationingeneraldirectionsa,abS.R.Beissel*,G.R.Johnson,C.H.PopelaraAlliantTechsystems,Hopkins,MN55343,USAbSouthwestResearchInstitute,SanAntonio,TX78228,USAReceived18December19

2、97;accepted24June1998AbstractAnalgorithmispresentedforthe®niteelementanalysisofdynamicelastic±plasticfracturemechanics.Thealgorithmallowscrackpropagationinanydirection,butdoesnotrequireremeshingorthede®nitionofnewcontactsurfaces.Thisisachievedbytrackingthepathofthecrackt

3、ipandfailingtheelementscrossedbythepathsuchthattheycannolongersustaindeviatoricortensilevolumetricstresses.Theedgesofthesefailedelementssimulatecrackfacesthatcansustainonlycompressivenormaltractions.Thiselement-failuretechniqueiscomparedtothepredominantnode-splittingtech

4、niquebyexamplecalculations.TheT*fractureparameter,whichincludesinertialeects,isemployedtoindicatepropagation.AstudyoftheconvergenceofT*withmeshre®nementisincluded.Additionalexamplesarepresentedtodemonstratetheversatilityoftheelement-failurealgorithm.#1998ElsevierScienceL

5、td.Allrightsreserved.Keywords:Computationalfracture;Dynamiccrackpropagation;Elementfailure1.IntroductionFiniteelementmodelingoffracturepropagationhastraditionallybeenachievedbysplittingnodesalongacrackpathandallowingtheadjacentelementstoseparate.Iftherearenosymmetryassum

6、ptionsandthecrackisallowedtopropagateinanydirection,remeshingalgorithmsbecomenecessary;examplesofsuchalgorithmsappearinRefs.[1±4].IfaplaneofsymmetryisassumedÐasisoftenthecasewhenthestudydoesnotfocusonthedirectionofcrackpropagationÐthenode-splittingtechniquereducestoa`nod

7、e-release'techniqueinwhichthepropagatingcrackismodeledbythereleaseofrestrainednodesalongthelineofsymmetry.*Correspondingauthor.Tel.:0016129316694;fax:0016129315135;e-mail:stephen_beissel@atk.com.0013-7944/98/$-seefrontmatter#1998ElsevierScienceLtd.Allrightsreserved.PII:S

8、0013-7944(98)00072-1408S.R.Beisseletal./EngineeringFractureMechanics61(1998)407±425Examplesofthistypeap