Application of meshless local integrale quations to two dimensional analysis of coupled non-Fick diffusion–elasticity
سال
: 2013
چکیده: 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.
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.
کلیدواژه(گان): Non-Fick diffusion,Coupled problem,Wave propagation,Meshless local Petrov–Galerkin (MLPG) method,Local integralequations (LIEs),Radial basisfunctions
کالکشن
:
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آمار بازدید
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 | http://libsearch.um.ac.ir:80/fum/handle/fum/3345099 | |
| 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 |