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Article: On the stable finite element procedures for dynamic problems of saturated porous media

TitleOn the stable finite element procedures for dynamic problems of saturated porous media
Authors
KeywordsIncompressible Behaviour
Mixed Formulation
Saturated Soils
Stabilization Techniques
Issue Date2004
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
Citation
International Journal For Numerical Methods In Engineering, 2004, v. 61 n. 9, p. 1421-1450 How to Cite?
AbstractThe solution of problems in which coupling occurs between the displacement of the soil skeleton and the pore fluid pressure is fundamental in soil dynamics. The formulation requires that the interpolation functions for the displacement and pressure in the finite element discretization must satisfy the so-called Babuska-Brezzi stability criteria or the patch test in the limit of nearly incompressible pore fluid and small permeability. The criteria are not fulfiled by elements with the same order of interpolation for both variables unless stabilization techniques are introduced. This paper summarizes the stabilization techniques that have been proposed in the literature to overcome volumetric locking for the incompressible or nearly incompressible soil dynamic behaviours. In particular, the staggered implicit-implicit algorithm (i.e. the fractional step method in an implicit form) and the direct α-method proposed by the first author and Zienkiewicz et al. are briefly reviewed. Attentions will be paid to the steady-state formulations resulted from both approaches. Based on the steady state formulations, the paper will then discuss the determination of the local stabilization parameters, with which a significant improvement for the obtained solutions of pore-pressure can be achieved. Further discussion on the limitations of the methods is also given. Finally, several numerical examples are presented to illustrate the effectiveness of the proposed techniques. © 2004 John Wiley and Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/150630
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorHuang, Men_US
dc.contributor.authorYue, ZQen_US
dc.contributor.authorTham, LGen_US
dc.contributor.authorZienkiewicz, OCen_US
dc.date.accessioned2012-06-26T06:06:16Z-
dc.date.available2012-06-26T06:06:16Z-
dc.date.issued2004en_US
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 2004, v. 61 n. 9, p. 1421-1450en_US
dc.identifier.issn0029-5981en_US
dc.identifier.urihttp://hdl.handle.net/10722/150630-
dc.description.abstractThe solution of problems in which coupling occurs between the displacement of the soil skeleton and the pore fluid pressure is fundamental in soil dynamics. The formulation requires that the interpolation functions for the displacement and pressure in the finite element discretization must satisfy the so-called Babuska-Brezzi stability criteria or the patch test in the limit of nearly incompressible pore fluid and small permeability. The criteria are not fulfiled by elements with the same order of interpolation for both variables unless stabilization techniques are introduced. This paper summarizes the stabilization techniques that have been proposed in the literature to overcome volumetric locking for the incompressible or nearly incompressible soil dynamic behaviours. In particular, the staggered implicit-implicit algorithm (i.e. the fractional step method in an implicit form) and the direct α-method proposed by the first author and Zienkiewicz et al. are briefly reviewed. Attentions will be paid to the steady-state formulations resulted from both approaches. Based on the steady state formulations, the paper will then discuss the determination of the local stabilization parameters, with which a significant improvement for the obtained solutions of pore-pressure can be achieved. Further discussion on the limitations of the methods is also given. Finally, several numerical examples are presented to illustrate the effectiveness of the proposed techniques. © 2004 John Wiley and Sons, Ltd.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430en_US
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_US
dc.rightsInternational Journal for Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd.-
dc.subjectIncompressible Behaviouren_US
dc.subjectMixed Formulationen_US
dc.subjectSaturated Soilsen_US
dc.subjectStabilization Techniquesen_US
dc.titleOn the stable finite element procedures for dynamic problems of saturated porous mediaen_US
dc.typeArticleen_US
dc.identifier.emailYue, ZQ: yueqzq@hkucc.hku.hken_US
dc.identifier.emailTham, LG: hrectlg@hkucc.hku.hken_US
dc.identifier.authorityYue, ZQ=rp00209en_US
dc.identifier.authorityTham, LG=rp00176en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1002/nme.1115en_US
dc.identifier.scopuseid_2-s2.0-8344257326en_US
dc.identifier.hkuros102179-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-8344257326&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume61en_US
dc.identifier.issue9en_US
dc.identifier.spage1421en_US
dc.identifier.epage1450en_US
dc.identifier.isiWOS:000224884300003-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridHuang, M=8293766600en_US
dc.identifier.scopusauthoridYue, ZQ=7102782735en_US
dc.identifier.scopusauthoridTham, LG=7006213628en_US
dc.identifier.scopusauthoridZienkiewicz, OC=7102382036en_US

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