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共线多孔边裂纹的应力强度因子研究(英文) INTRODUCTION Cracksinmaterialscanleadtocatastrophicfailureandcancausesignificanteconomiclosses.Therefore,understandingthebehaviorofcracksisimportantforthedesignofsafeandreliablestructures.Inthispaper,weinvestigatethestressintensityfactorsofcollinearmultiplecracksinporousmaterials. POROUSMATERIALSANDCRACKS Porousmaterialsarewidelyusedinvariousengineeringapplicationsbecauseoftheiruniqueproperties,suchaslowdensity,highspecificsurfacearea,andhighpermeability.However,thepresenceofcracksinporousmaterialscansignificantlyaffecttheirmechanicalproperties,suchasstrength,stiffness,andfracturetoughness. Collinearmultiplecracksarecommoninporousmaterialsduetotheirinherentlyheterogeneousstructureandthepresenceofmultipleloadingmodes.Theinteractionbetweencollinearmultiplecrackscancauselocalstressconcentrationandcanleadtoprematurefailureofthematerial.Therefore,understandingthestressintensityfactorsofcollinearmultiplecracksisessentialfordesigningsafeandreliablestructures. STRESSINTENSITYFACTORS Thestressintensityfactor(SIF)isakeyparameterinfracturemechanicsthatcharacterizesthestressfieldnearthetipofacrack.TheSIFdeterminestherateatwhichcrackpropagationoccursandisthereforeanimportantparameterforpredictingthefailureofmaterials. ThereareseveralmethodstocalculatetheSIFofacrack,includinganalytical,numerical,andexperimentalmethods.Analyticalmethodsarebasedonclosed-formsolutionsofthegoverningequationsandareusefulforsimplegeometriesandloadingconditions.Numericalmethods,suchasthefiniteelementmethod,aremoreversatileandcanhandlecomplexgeometriesandloadingconditions.Experimentalmethodsinvolvemeasuringthecrackpropagationrateundercontrolledloadingconditions. ANALYTICALSOLUTIONS AnalyticalsolutionsfortheSIFofcollinearmultiplecracksareavailableforsomesimplegeometriesandloadingconditions.Forexample,theSIFoftwocollinearcracksinaninfiniteelasticplateunderuniformtensioncanbecalculatedusingtheWestergaard'sstressfunction.TheSIFfortwocollinearcracksinaplateunderbendingcanbecalculatedusing