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1、Availableonlineatwww.sciencedirect.comJournaloftheEuropeanCeramicSociety28(2008)113AnestimationofceramicfractureatsingularitiesbyastatisticalapproachJ.Laurencina,∗,G.Delettea,M.DupeuxbaCEA/LITEN/DTH/LEV,17avenuedesmartyrs,38054Grenoble,FrancebSIMAP(INPGr
2、enoble/CNRS/UJF),BP7538402SaintMartind’H`eres,FranceReceived22March2007;receivedinrevisedform23May2007;accepted2June2007Availableonline6August2007AbstractAstatisticalanalysisbasedonweakestlinktheoryisemployedtodescribethebrittlefractureinducedatsingulari
3、tiesinceramicmaterials.RelationshipsarestatedbetweentheWeibullprobabilityandthenotchgeometry.ForlowWeibullsmodulus,survivalprobabilitiesonlydependonthegeneralisedstressintensityfactor,whereasforhighWeibullsmodulus,probabilitiesalsodependonthenotchtipradi
4、us.Theeffectofthetipradiusonthefailureprobabilitiesisequivalenttotheexclusionofasmallvolumesurroundingthenotchtip.Fromtheseresults,anumericalmethodologybasedonthefiniteelementanalysisisproposedtostateifsingularityisharmfulforaceramicstructure.Elsewhere,fo
5、ranotchwithhighstresssingularityorderandsymmetricallyloaded,theBatdorfstheorygivesthesameresultsthantheWeibullone.Inthecaseofalowstresssingularityorder,thepredictionoffailurecanstronglydependonthemulti-axialcriterion.©2007ElsevierLtd.Allrightsreserved.Ke
6、ywords:Failureanalysis;Structuralapplications;Fuelcells;Fracture;Weibullstatistics1.IntroductionInthispaper,itisassumedthattheceramicfractureiniti-atedinasingularvolumeremainscontrolledbyflawscontainedSolidoxidefuelcells(SOFC)aredevicesallowingthecon-with
7、inthiszone.Inthisframe,theprobabilityoffracturecanbeversionofchemicalenergyintoelectricityathightemperature.evaluatedthroughtheWeibulltheory.However,thisstatisticalThistypeoffuelcellsismainlyconstitutedofthreeceramicapproachrequiresanintegrationoverthesi
8、ngularareathatcan-layers:twoporouselectrodesseparatedbyadenseelectrolytenotbeappliedforhighvaluesoftheWeibullsmodulusandhighusuallymadeofyttria-stabilisedzirconia.1Consideredasastresssingularityorder.57Anotherdifficultycome
