简介：Usingultrasonicguidedwavestoassesslongbonefracturesandfracturehealinghasbecomeapromisingdiagnosticissue.Butthemultimodeoverlapoftheguidedwaveschallengesthequantitativeevaluationandclinicalapplication.Inthepreformedstudy,inordertosimplifythesignalinterpretation,thelow-frequencysinusoidialsignalswereusedtoonlyexciteS0andA0modesinfracturedlongbones.TheamplitudesofS0andA0modeswerenumericallyanalyzedwithvariationincrackwidthandfractureangle.Numericalsimulation,basedonthetwo-dimensionfinite-differencetime-domain(2D-FDTD)revealsthatbothS0andA0amplitudesdecreasewiththefracturewidening.However,theincreaseinfractureanglegraduallyenhancestheA0amplitude,whilewithrespecttotheS0mode,itsamplitudeshowsanon-monotonictrendtothevariationinfractureanglewithaturningpointaround45°.TheamplituderatiobetweenS0andA0canreflectthevariationsincrackwidthandfractureangles.ThesimulationillustratesthatultrasonicguidedS0andA0modesaresensitivetothedegreeofbothverticalandobliquefracturesinthelongcorticalbone.Thesefindingsmaybehelpfulforfracturesdiagnosisandhealingevaluationofthelongbone.
简介：Scatteringofanincidentgrazinglongitudinalultrasonicwavepulsebyatraction-freeribbon-typecrackinsolidistheoreticallyanalyzed.Anexactseriessolutionofthescatteredfieldisobtainedbyiteration.Eachtermoftheseriescorrespondsroughlytooneoftherescatteringprocessesbytherespectivecracktips.Thefirsttwoterms,whichcombinetoformthesecondorderapproximatesolution,aredis-cussedindetail.This2nd-ordersolutionincludesscatteredcylindricallongitudinalwaves,cylindricalshearwaves,headwavesandsurfacewavesonthecracksurfaces,anditgivesgooddescriptionoftheearly-timewavefield.
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