简介：Anin-depthanalysisofpropagationcharacteristicsofelasto-plasticcombinedstresswavesincircularthin-walledtubeshasbeenmade.Inobtainingthesimple-wavesolution,however,mostresearcheshaveignoredtheinfluenceofthecircumferentialstressrelatedtotheradialinertialeffectinthetubes.Inthispapertheincrementalelasto-plasticconstitutiverelationswhichareconvenientfordynamicnumericalanalysisareadopted,andthefinite-differencemethodisusedtostudytheevolutionandpropagationofelasto-plasticcombinedstresswavesinathin-walledtubewiththeradialinertialeffectofthetubeconsidered.Thecalculationresultsarecomparedwiththoseobtainedwhentheradialinertialeffectisnotconsidered.Thecalculationresultsshowthattheradialinertialeffectofatubehasafairlygreatinfluenceonthepropagationofelasto-plasticcombinedstresswaves.

简介：Aradialcrackemanatingfromasemi-circularnotchisofsignificantengineeringimportance.Accuratedeterminationofkeyfracturemechanicsparametersisessentialfordamagetolerancedesignandfatiguecrackgrowthlifepredictions.Thepurposeofthispaperistoprovideanefficientandaccurateclosed-formweightfunctionapproachtothecalculationofcracksurfacedisplacementsforaradialcrackemanatingfromasemi-circularnotchinasemi-infiniteplate.Resultsarepresentedfortwoloadconditions:remoteappliedstressanduniformstresssegmentappliedtocracksurfaces.Basedonacorrectionofstressintensityfactorratio,highlyaccurateanalyticalequationsofcracksurfacedisplacementsunderthetwoloadconditionsaredevelopedbyfittingthedataobtainedwiththeweightfunctionmethod.ItisdemonstratedthattheWuCarlssonclosed-formweightfunctionsareveryefficient,accurateandeasy-to-useforcalculatingcracksurfacedisplacementsforarbitraryloadconditions.Themethodwillfacilitatefatiguecrackclosureandotherfracturemechanicsanalyseswhereaccuratecracksurfacedisplacementsarerequired.