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.
Keywords
Carbon nanotubes; Nanocomposites; Elastic wave propagation; Meshless local Petrov–Galerkin (MLPG)method; Local integral equations(LIEs); Radial basis functions.
@article{paperid:1036126,
author = {Ghayoumizadeh, Hassan and Shahabian Moghadam, Farzad and Hosseini, Seyed Mahmoud},
title = {Elastic wave propagation in a functionally graded nanocomposite reinforced by carbon nanotubes employing meshless local integral equations (LIEs)},
journal = {Engineering Analysis with Boundary Elements},
year = {2013},
volume = {37},
number = {11},
month = {November},
issn = {0955-7997},
pages = {1524--1531},
numpages = {7},
keywords = {Carbon nanotubes; Nanocomposites; Elastic wave propagation; Meshless local Petrov–Galerkin (MLPG)method; Local integral equations(LIEs); Radial basis functions.},
}
%0 Journal Article
%T Elastic wave propagation in a functionally graded nanocomposite reinforced by carbon nanotubes employing meshless local integral equations (LIEs)
%A Ghayoumizadeh, Hassan
%A Shahabian Moghadam, Farzad
%A Hosseini, Seyed Mahmoud
%J Engineering Analysis with Boundary Elements
%@ 0955-7997
%D 2013
