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contributor authorسیدمحمود حسینیen
contributor authorJan Sladeken
contributor authorVladimir Sladeken
contributor authorSeyed Mahmoud Hosseinifa
date accessioned2020-06-06T13:11:15Z
date available2020-06-06T13:11:15Z
date issued2013
identifier urihttp://libsearch.um.ac.ir:80/fum/handle/fum/3345099?locale-attribute=en&show=full
description abstractThis 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.
en
languageEnglish
titleApplication of meshless local integrale quations to two dimensional analysis of coupled non-Fick diffusion–elasticityen
typeJournal Paper
contenttypeExternal Fulltext
subject keywordsNon-Fick diffusionen
subject keywordsCoupled problemen
subject keywordsWave propagationen
subject keywordsMeshless local Petrov–Galerkin (MLPG) methoden
subject keywordsLocal integralequations (LIEs)en
subject keywordsRadial basisfunctionsen
journal titleEngineering Analysis with Boundary Elementsfa
pages603-615
journal volume37
journal issue3
identifier linkhttps://profdoc.um.ac.ir/paper-abstract-1032302.html
identifier articleid1032302


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