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1、Composites:PartB43(2012)1649–1657ContentslistsavailableatSciVerseScienceDirectComposites:PartBjournalhomepage:www.elsevier.com/locate/compositesbDispersionrelationsandmodesofwavepropagationininclusion-reinforcedcompositeplates1⇑Yu-ChengLiu,JinH.HuangDep
2、artmentofMechanicalandComputer-AidedEngineering,FengChiaUniversity,No.100WenhwaRd.,Seatwen,Taichung40724,Taiwan,ROCarticleinfoabstractArticlehistory:Thispaperisintendedtoexaminetheeffectofinclusionshapes,inclusioncontents,inclusionelasticcon-Received22M
3、arch2011stants,andplatethicknessonthedispersionrelationsandmodesofwavepropagationininclusion-rein-Receivedinrevisedform7December2011forcedcompositeplates.TheshapeofinclusionismodeledasspheroidthatenablesthecompositeAccepted2January2012reinforcementgeome
4、tricalconfigurationsrangingfromspheretoshortandcontinuousfiber.Mori–Availableonline9January2012Tanakamean-fieldtheoryisusedtopredicttheeffectiveelasticmoduliofthecompositeplateexplicitly.Theeffectiveelasticmoduliareabletoelucidatetheeffectofinclusion’sshap
5、e,stiffness,andvolumefrac-Keywords:tiononthecomposite’sanisotropicelasticbehavior.TheresultingmoduliarethenusedtodeterminetheA.PlatesdispersionrelationsandthemodalpatternsofLambwavesusingthedynamicstiffnessmatrixmethod.A.3-DimensionalreinforcementC.Anal
6、yticalmodelingThetypes(symmetricorantisymmetric)ofLambwavesinanisotropicplatecanbeclassifiedaccordingWavepropagationtothewavemotionsaresymmetricalorantisymmetricaboutthemidplaneoftheplate.Classifyingthewavetypeinananisotropicplateisnotassimpleasthatinani
7、sotropicplate,andhasnotreceivedproperattentionintheliterature.Thewavetypesandordersareidentifiedbyanalyzingthedispersioncurvesandinspectingthecalculatedmodalpatterns,andtheresultsindicatethattheLambwavesinanortho-tropiccompositeplatecanalsobeclassifiedase
8、ithersymmetricorantisymmetricwaves.Itisalsofoundthattheinclusioncontents,aspectratiosandplatethicknessaffectpropagationvelocities,higher-ordermodecutofffrequencies,andmodalpatterns.Propagationspeedisgenerallyincreasedwiththeaspec
