Node-to-segment and node-to-surface interface finite elements for fracture mechanics断裂力学元素

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1、Node-to-segmentandnode-to-surfaceinterfaceniteelementsforfracturemechanicsM.Paggia,,P.WriggersbaIMTInstituteforAdvancedStudiesLucca,PiazzaSanFrancesco19,55100Lucca,ItalybLeibnizUniversi•atHannover,Institutf•urKontinuumsmechanik,Appelstrae11,30167Hannover,GermanyAbstractThetopologiesofexistinginte

2、rfaceelementsusedtodiscretizecohesivecracksaresuchthattheycanbeusedtocomputetherelativedisplacements(dis-placementdiscontinuities)oftwoopposingsegments(in2D)oroftwoop-posingfacets(in3D)belongingtotheoppositecrackfacesandenforcethecohesivetraction-separationrelation.Inthepresentworkweproposeanoveltyp

3、eofinterfaceelementforfracturemechanicssharingsomeanalogieswiththenode-to-segment(in2D)andwiththenode-to-surface(in3D)contactelements.Thedisplacementgapofanodebelongingtotheniteelementdiscretizationofonecrackfacewithrespecttoitsprojectedpointontheop-positefaceisusedtodeterminethecohesivetractions,t

4、heresidualvectoranditsconsistentlinearizationforanimplicitsolutionscheme.Thefollowingad-vantageswithrespecttoclassicalinterfaceniteelementsaredemonstrated:(i)non-matchingniteelementdiscretizationsoftheoppositecrackfacesispossible;(ii)easymodellingofcohesivecrackswithnon-propagatingcracktips;(iii)t

5、heinternalrotationalequilibriumoftheinterfaceelementisas-sured.Detailedexamplesareprovidedtoshowtheusefulnessoftheproposedapproachinnonlinearfracturemechanicsproblems.Notice:thisistheauthorsversionofaworkthatwasacceptedforpublica-tioninComputerMethodsinAppliedMechanicsandEngineering.Changesresulting

6、fromthepublishingprocess,suchasediting,structuralformatting,arXiv:1604.05236v1[cond-mat.mtrl-sci]18Apr2016Correspondingauthor.Tel:+39-0583-4326-604,Fax:+39-0583-4326-565.Emailaddresses:marco.paggi@imtlucca.it(M.Paggi),wriggers@ikm.uni-hannover.de(P.Wriggers)PreprintsubmittedtoCMAMEApril19,2016andot

7、herqualitycontrolmechanismsmaynotbere ectedinthisdocument.AdenitiveversionwaspublishedinComputerMethodsinAppliedMechan-icsandEngineering,Vol.300,540{560,DOI:10.1016/j.cma.2015.11.023Keywords:Nonlinea