Title : ( Elastic wave propagation in a functionally graded nanocomposite reinforced by carbon nanotubes employing meshless local integral equations (LIEs) )
Authors: hassan ghayoumizadeh , Farzad Shahabian Moghadam , Seyed Mahmoud Hosseini ,
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Abstract
The transientdynamicanalysisofdisplacement field andelasticwavepropagationin finite length functionally gradednanocompositereinforcedbycarbonnanotubesarecarriedoutusinglocalintegral equations(LIEs)basedonmeshlesslocalPetrov–Galerkin (MLPG)method.Thedistributionofthealigned carbon nanotubes(CNTs)isassumedtovaryasthreekindsoffunctionallygradeddistributionsaswellas uniform distribution(UD)throughradialdirectionofaxisymmetricreinforcedcylindricalcomposites. The mechanicalpropertiesaresimulatedusingamicro-mechanicalmodelinvolumefractionform. A unitstepfunctionisusedasatestfunctioninthelocalweakform,whichleadstolocalintegral equations(LIEs).Theanalyzeddomainisdividedintosmallsubdomainswithacircularshape.Theradial basis functionsareusedforapproximationofthespatialvariationof field variables.Fortreatmentoftime variations,theLaplace-transformtechniqueisutilized.The2Dpropagationofelasticwavesthrough2D domain isillustratedforvariouskindsofcarbonnanotubesdistributions.Thetimehistoriesof displacement fields arestudiedindetailforvariouskindsofcarbonnanotubedistributionsinreinforced cylindrical composites.
