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Article: An operator-split ALE model for large deformation analysis of geomaterials

TitleAn operator-split ALE model for large deformation analysis of geomaterials
Authors
KeywordsALE model
Dynamics
Finite strain
Non-linearity
Porous media
Saturated soil
Issue Date2007
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/3312
Citation
International Journal For Numerical And Analytical Methods In Geomechanics, 2007, v. 31 n. 12, p. 1375-1399 How to Cite?
AbstractAnalysis of large deformation of geomaterials subjected to time-varying load poses a very difficult problem for the geotechnical profession. Conventional finite element schemes using the updated Lagrangian formulation may suffer from serious numerical difficulties when the deformation of geomaterials is significantly large such that the discretized elements are severely distorted. In this paper, an operator-split arbitrary Lagrangian-Eulerian (ALE) finite element model is proposed for large deformation analysis of a soil mass subjected to either static or dynamic loading, where the soil is modelled as a saturated porous material with solid-fluid coupling and strong material non-linearity. Each time step of the operator-split ALE algorithm consists of a Lagrangian step and an Eulerian step. In the Lagrangian step, the equilibrium equation and continuity equation of the saturated soil are solved by the updated Lagrangian method. In the Eulerian step, mesh smoothing is performed for the deformed body and the state variables obtained in the updated Lagrangian step are then transferred to the new mesh system. The accuracy and efficiency of the proposed ALE method are verified by comparison of its results with the results produced by an analytical solution for one-dimensional finite elastic consolidation of a soil column and with the results from the small strain finite element analysis and the updated Lagrangian analysis. Its performance is further illustrated by simulation of a complex problem involving the transient response of an embankment subjected to earthquake loading. Copyright © 2007 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/70740
ISSN
2015 Impact Factor: 1.758
2015 SCImago Journal Rankings: 1.676
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorDi, Yen_HK
dc.contributor.authorYang, Jen_HK
dc.contributor.authorSato, Ten_HK
dc.date.accessioned2010-09-06T06:25:42Z-
dc.date.available2010-09-06T06:25:42Z-
dc.date.issued2007en_HK
dc.identifier.citationInternational Journal For Numerical And Analytical Methods In Geomechanics, 2007, v. 31 n. 12, p. 1375-1399en_HK
dc.identifier.issn0363-9061en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70740-
dc.description.abstractAnalysis of large deformation of geomaterials subjected to time-varying load poses a very difficult problem for the geotechnical profession. Conventional finite element schemes using the updated Lagrangian formulation may suffer from serious numerical difficulties when the deformation of geomaterials is significantly large such that the discretized elements are severely distorted. In this paper, an operator-split arbitrary Lagrangian-Eulerian (ALE) finite element model is proposed for large deformation analysis of a soil mass subjected to either static or dynamic loading, where the soil is modelled as a saturated porous material with solid-fluid coupling and strong material non-linearity. Each time step of the operator-split ALE algorithm consists of a Lagrangian step and an Eulerian step. In the Lagrangian step, the equilibrium equation and continuity equation of the saturated soil are solved by the updated Lagrangian method. In the Eulerian step, mesh smoothing is performed for the deformed body and the state variables obtained in the updated Lagrangian step are then transferred to the new mesh system. The accuracy and efficiency of the proposed ALE method are verified by comparison of its results with the results produced by an analytical solution for one-dimensional finite elastic consolidation of a soil column and with the results from the small strain finite element analysis and the updated Lagrangian analysis. Its performance is further illustrated by simulation of a complex problem involving the transient response of an embankment subjected to earthquake loading. Copyright © 2007 John Wiley & Sons, Ltd.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/3312en_HK
dc.relation.ispartofInternational Journal for Numerical and Analytical Methods in Geomechanicsen_HK
dc.rightsInternational Journal for Numerical and Analytical Methods in Geomechanics. Copyright © John Wiley & Sons Ltd.en_HK
dc.subjectALE modelen_HK
dc.subjectDynamicsen_HK
dc.subjectFinite strainen_HK
dc.subjectNon-linearityen_HK
dc.subjectPorous mediaen_HK
dc.subjectSaturated soilen_HK
dc.titleAn operator-split ALE model for large deformation analysis of geomaterialsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0363-9061&volume=DOI: 101002/nag601&spage=31p&epage=&date=2007&atitle=An+operator-split+ALE+model+for+large+deformation+analysis+of+geomaterialsen_HK
dc.identifier.emailYang, J:junyang@hkucc.hku.hken_HK
dc.identifier.authorityYang, J=rp00201en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/nag.601en_HK
dc.identifier.scopuseid_2-s2.0-34848867489en_HK
dc.identifier.hkuros128203en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34848867489&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume31en_HK
dc.identifier.issue12en_HK
dc.identifier.spage1375en_HK
dc.identifier.epage1399en_HK
dc.identifier.isiWOS:000249900700003-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridDi, Y=23479096800en_HK
dc.identifier.scopusauthoridYang, J=35605258800en_HK
dc.identifier.scopusauthoridSato, T=7406984636en_HK

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