Title : ( Application of meshless local integrale quations to two dimensional analysis of coupled non-Fick diffusion–elasticity )
Authors: Seyed Mahmoud Hosseini , Jan Sladek , Vladimir Sladek ,
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Abstract
This workpresentstheapplicationofmeshlesslocal Petrov–Galerkin (MLPG) methodtotwo dimensionalcouplednon-Fick diffusion–elasticity analysis.Aunitstepfunctionisusedasthetest functionsinthelocalweak-form.Itleadstolocalintegralequations(LIEs).Theanalyzeddomainis divided intosmallsubdomainswithacircularshape.Theradialbasisfunctionsareusedfor approximationofthespatialvariationoffieldvariables.Fortreatmentoftimevariations,the Laplace-transformtechniqueisutilized.Severalnumericalexamplesaregiventoverifytheaccuracy and theefficiencyoftheproposedmethod.Themolarconcentrationdiffusesthrough2Ddomainwitha finite speedsimilartoelasticwave.Thepropagationofmassdiffusionandelasticwavesareobtained and discussedatvarioustimeinstants.TheMLPGmethodhasahighcapabilitytotrackthediffusion and elasticwavefrontsatarbitrarytimeinstantsin2Ddomain.Theprofilesofmolarconcentrationand displacementsintwoorthogonaldirectionsareillustratedatvarioustimeinstants.
Keywords
, Non, Fick diffusion; Coupled problem; Wave propagation; Meshless local Petrov–Galerkin (MLPG) method; Local integralequations (LIEs); Radial basisfunctions.
@article{paperid:1032302,
author = {Hosseini, Seyed Mahmoud and Jan Sladek and Vladimir Sladek},
title = {Application of meshless local integrale quations to two dimensional analysis of coupled non-Fick diffusion–elasticity},
journal = {Engineering Analysis with Boundary Elements},
year = {2013},
volume = {37},
number = {3},
month = {March},
issn = {0955-7997},
pages = {603--615},
numpages = {12},
keywords = {Non-Fick diffusion; Coupled problem; Wave propagation; Meshless local Petrov–Galerkin (MLPG) method; Local integralequations (LIEs); Radial basisfunctions.},
}
%0 Journal Article
%T Application of meshless local integrale quations to two dimensional analysis of coupled non-Fick diffusion–elasticity
%A Hosseini, Seyed Mahmoud
%A Jan Sladek
%A Vladimir Sladek
%J Engineering Analysis with Boundary Elements
%@ 0955-7997
%D 2013
