简介：Theinteractionofanti-planeelasticSHwaveswithaperiodicarrayofinterfacecracksinamulti-layeredperiodicmediumisanalyzedinthispaper.AperfectperiodicstructurewithoutinterfacecracksisfirststudiedandthetransmissiondisplacementcoefficientisobtainedbasedonthetransfermatrixmethodinconjunctionwiththeBloch-Floquettheorem.Thisisthengeneralizedtoasingleandperiodicdistributionofcracksatthecenterinterfaceandtheresultiscomparedwiththatofperfectperiodiccaseswithoutinterfacecracks.Thedependenceofthetransmissiondisplacementcoefficientonthefrequencyoftheincidentwave,theinfluencesofmaterialcombination,crackconfigurationandincidentanglearediscussedindetail.Comparedwiththecorrespondingperfectperiodicstructurewithoutinterfacecracks,anewphenomenonisfoundintheperiodiclayeredsystemwithasingleandperiodicarrayofinterfacecracks.

简介：TheGreen’sfunctionisusedtosolvethescatteringfarfieldsolutionofSH-wavebyamov-ablerigidcylindricalinterfaceinclusioninalinearelasticbody.First,asuitableGreen’sfunctionisdevel-oped,whichisthefundamentaldisplacementsolutionofanelastichalfspacewithamovablerigidhalf-cylin-dricalinclusionimpactedbyout-of-planeharmoniclinesourceloadedatanypointofitshorizontalsurface.ByusingtheGreen’sfunction,aseriesofFredholmintegralequationsofthefirstkindwhichdeterminethescatteringfarfieldcanbesetup.Thenthepapergivestheexpressionsonthefarfieldincludingthedisplace-mentmodeofscatteringwaveandthesolutionofscatteringcross-section.Finally,someexamplesandnu-mericalresultsarediscussedtoanalyzetheinfluenceofthecombinationofdifferentmediaparametersontheansweroffarfield.

简介：Ameshlessradialbasisfunction(RBF)collocationmethodbasedontheEringennonlocalelasticitytheoryisdevelopedtocalculatethebandstructuresofternaryandquaternarynanoscalemulti-layeredphononiccrystals(PNCs)withfunctionallygraded(FG)interlayers.Detailedcalculationsareperformedforanti-planetransversewavespropagatinginsuchPNCs.TheinfluencesofFGandhomogeneousinterlayers,componentnumber,nonlocalinterfaceimperfectionsandnanoscalesizeoncut-offfrequencyandbandstructuresareinvestigatedindetail.Numericalresultsshowthatthesefactorshavesignificanteffectsonbandstructuresatthemacroscopicandmicroscopicscales.