Application of meshless local integrale quations to two dimensional analysis of coupled non-Fick diffusion

Author:

Year

: 2013

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.

URI: https://libsearch.um.ac.ir:443/fum/handle/fum/3345099

Keyword(s): Non-Fick diffusion,Coupled problem,Wave propagation,Meshless local Petrov–Galerkin (MLPG) method,Local integralequations (LIEs),Radial basisfunctions

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Application of meshless local integrale quations to two dimensional analysis of coupled non-Fick diffusion–elasticity

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contributor author	سیدمحمود حسینی	en
contributor author	Jan Sladek	en
contributor author	Vladimir Sladek	en
contributor author	Seyed Mahmoud Hosseini	fa
date accessioned	2020-06-06T13:11:15Z
date available	2020-06-06T13:11:15Z
date issued	2013
identifier uri	https://libsearch.um.ac.ir:443/fum/handle/fum/3345099?locale-attribute=en
description 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.	en
language	English
title	Application of meshless local integrale quations to two dimensional analysis of coupled non-Fick diffusion–elasticity	en
type	Journal Paper
contenttype	External Fulltext
subject keywords	Non-Fick diffusion	en
subject keywords	Coupled problem	en
subject keywords	Wave propagation	en
subject keywords	Meshless local Petrov–Galerkin (MLPG) method	en
subject keywords	Local integralequations (LIEs)	en
subject keywords	Radial basisfunctions	en
journal title	Engineering Analysis with Boundary Elements	fa
pages	603-615
journal volume	37
journal issue	3
identifier link	https://profdoc.um.ac.ir/paper-abstract-1032302.html
identifier articleid	1032302