Fracture behaviour of brittle fibre-reinforced solids by a new FE formulation.pdf

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1、CompositeStructures91(2009)324–336ContentslistsavailableatScienceDirectCompositeStructuresjournalhomepage:www.elsevier.com/locate/compstructFracturebehaviourofbrittlefibre-reinforcedsolidsbyanewFEformulationRobertoBrighenti*DepartmentofCivilandEnvironmentalEng

2、ineeringandArchitecture,UniversityofParma,VialeGPUsberti181/A,43100Parma,ItalyarticleinfoabstractArticlehistory:Fibre-reinforcedmaterialsarenowadaysusedinmanydifferentfieldsofapplicationsduetotheirgoodAvailableonline26June2009loadbearingcapacityundergeneralstr

3、essstateandtotheirfractureandfatigueresistance.Theuseofreinforcingfibres,especiallyinbrittleorquasi-brittlematerials,generallyallowsareductionoftheman-Keywords:ufacturingcostsandtogetmoreelevatedperformancewithrespecttotraditionalmaterials.Inthepres-Fractureen

4、tpaper,acontinuumfiniteelement(FE)formulationtoanalysefracturemechanicsproblemsforfibre-Finiteelementreinforcedandinplainbrittleorquasi-brittlematerialsinvolvingdiscontinuityofthedisplacementfieldCracksisdeveloped.Byemployinganenergyapproach,anappropriatestressfi

5、eldcorrectionisintroducedtoBrittlematerialssimulatethedisplacementdiscontinuity(crack)andthemechanicaleffectsofthefibresonthematrixFibresmaterial,andanewFEformulationisusedtosimulatethebehaviourofsuchaclassofmaterials.Finally,somesimple2Dexamplesarepresentedin

6、ordertoevaluatethecapabilityoftheproposedcomputa-tionalapproach.Ó2009ElsevierLtd.Allrightsreserved.1.Introductiontoahighlynon-linearproblemwhichpresentsharddifficultiesincomputationalsimulation.Thelowvaluesoffracturetoughnessforbrittlematerials(suchByusinganew

7、simplestress-basedimplementationoftheasceramics,concrete,andsoon)canbeincreasedbyreinforcingmechanicaleffectsofadiscontinuousdisplacementfieldwithinthemwithfibreswhichincreasetensilestrengthandconnecttheanelement[18]andasimpleadhocmechanicalmodelforfibre-facesof

8、thecrackthatcanappearinthematrixmaterial,withreinforcedmaterialswithshortandrandomlydispersedfibresthebeneficialeffecttopreventitspropagation.Severalpapershave[19–21],anewFEformulationforsu