简介:Inthispaper,ananalyticmethodisdevelopedtoaddresssteadySH-wavescatteringandperformdynamicanalysisofmultiplecircularcavitiesinhalfspace.ThescatteredwavefunctionusedforscatteringofSH-wavesbymultiplecircularcavities,whichautomaticallysatisfiesthestress-freeconditionatthehorizontalsurface,isconstructedbyapplyingthesymmetryoftheSH-wavescatteringandthemethodofmulti-polarcoordinatessystem.Applyingthisscatteredwavefunctionandmethodofmovingcoordinates,theoriginalproblemcanbetransformedtotheproblemofSH-wavescatteringbymultiplecircularcavitiesinthefullspace.Finally,thesolutionoftheproblemcanbereducedtoaseriesofalgebraicequationsandsolvednumericallybytruncatingtheinfinitealgebraicequationstothefiniteones.Numericalexamplesareprovidedforcasewithtwocavitiestoshowtheeffectofwavenumber,andthedistancesbetweenthecentersofthecavitiesandfromthecenterstothegroundsurfaceonthedynamicstressconcentrationaroundthecavityimpactedbyincidentsteadySH-wave.
简介:Thispaperstudiesthree-dimensionaldiffractionofobliquelyincidentplaneSHwavesbytwininfinitelylongcylindricalcavitiesinlayeredporoelastichalf-spaceusingindirectboundaryelementmethod.Theapproachisvalidatedbycomparisonwiththeliterature,andtheeffectsofcavityinterval,incidentfrequency,andboundarydrainageconditiononthediffractionarestudiedthroughnumericalexamples.Itisshownthat,theinteractionbetweentwocavitiesissignificantandsurfacedisplacementpeaksbecomelargewhentwocavitiesareclose,andthesurfacedisplacementmaybesignificantlyamplifiedbytwincavities,andtheinfluencerangewithlargeamplificationcanbeaswideas40timesofthecavityradius.Surfacedisplacementsindryporoelasticcaseandsaturatedporoelasticcaseswithdrainedandundrainedboundariesareevidentlydifferentundercertaincircumstances,andthedifferencesmaybemuchlargerthanthoseinthefree-fieldresponse.