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Article: Upper bound limit analysis of slope stability using rigid finite elements and nonlinear programming

TitleUpper bound limit analysis of slope stability using rigid finite elements and nonlinear programming
Authors
KeywordsLimit analysis
Nonlinear programming
Rigid finite element
Sequential quadratic algorithm
Slope stability
Upper bound
Issue Date2003
PublisherNRC Research Press. The Journal's web site is located at http://pubs.nrc-cnrc.gc.ca/cgi-bin/rp/rp2_desc_e?cgj
Citation
Canadian Geotechnical Journal, 2003, v. 40 n. 4, p. 742-752 How to Cite?
AbstractIn this paper, the development and application of a new upper bound limit method for two- and three-dimensional (2D and 3D) slope stability problems is presented. Rigid finite elements are used to construct a kinematically admissible velocity field. Kinematically admissible velocity discontinuities are permitted to occur at all inter-element boundaries. The proposed method formulates the slope stability problem as an optimization problem based on the upper bound theorem. The objective function for determination of the minimum value of the factor of safety has a number of unknowns that are subject to a set of linear and nonlinear equality constraints as well as linear inequality constraints. The objective function and constrain equations are derived from an energy-work balance equation, the Mohr-Coulomb failure (yield) criterion, an associated flow rule, and a number of boundary conditions. The objective function with constraints leads to a standard nonlinear programming problem, which can be solved by a sequential quadratic algorithm. A computer program has been developed for finding the factor of safety of a slope, which makes the present method simple to implement. Four typical 2D and 3D slope stability problems are selected from the literature and are analysed using the present method. The results of the present limit analysis are compared with those produced by other approaches reported in the literature.
Persistent Identifierhttp://hdl.handle.net/10722/44628
ISSN
2015 Impact Factor: 1.877
2015 SCImago Journal Rankings: 2.093
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChen, Jen_HK
dc.contributor.authorYin, JHen_HK
dc.contributor.authorLee, CFen_HK
dc.date.accessioned2007-10-30T06:06:12Z-
dc.date.available2007-10-30T06:06:12Z-
dc.date.issued2003en_HK
dc.identifier.citationCanadian Geotechnical Journal, 2003, v. 40 n. 4, p. 742-752en_HK
dc.identifier.issn0008-3674en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44628-
dc.description.abstractIn this paper, the development and application of a new upper bound limit method for two- and three-dimensional (2D and 3D) slope stability problems is presented. Rigid finite elements are used to construct a kinematically admissible velocity field. Kinematically admissible velocity discontinuities are permitted to occur at all inter-element boundaries. The proposed method formulates the slope stability problem as an optimization problem based on the upper bound theorem. The objective function for determination of the minimum value of the factor of safety has a number of unknowns that are subject to a set of linear and nonlinear equality constraints as well as linear inequality constraints. The objective function and constrain equations are derived from an energy-work balance equation, the Mohr-Coulomb failure (yield) criterion, an associated flow rule, and a number of boundary conditions. The objective function with constraints leads to a standard nonlinear programming problem, which can be solved by a sequential quadratic algorithm. A computer program has been developed for finding the factor of safety of a slope, which makes the present method simple to implement. Four typical 2D and 3D slope stability problems are selected from the literature and are analysed using the present method. The results of the present limit analysis are compared with those produced by other approaches reported in the literature.en_HK
dc.format.extent4820324 bytes-
dc.format.extent1177077 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.languageengen_HK
dc.publisherNRC Research Press. The Journal's web site is located at http://pubs.nrc-cnrc.gc.ca/cgi-bin/rp/rp2_desc_e?cgjen_HK
dc.relation.ispartofCanadian Geotechnical Journalen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsCanadian Geotechnical Journal. Copyright © N R C Research Press.en_HK
dc.subjectLimit analysisen_HK
dc.subjectNonlinear programmingen_HK
dc.subjectRigid finite elementen_HK
dc.subjectSequential quadratic algorithmen_HK
dc.subjectSlope stabilityen_HK
dc.subjectUpper bounden_HK
dc.titleUpper bound limit analysis of slope stability using rigid finite elements and nonlinear programmingen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0008-3674&volume=40&issue=4&spage=742&epage=752&date=2003&atitle=Upper+bound+limit+analysis+of+slope+stability+using+rigid+finite+elements+and+nonlinear+programmingen_HK
dc.identifier.emailLee, CF: leecf@hkucc.hku.hken_HK
dc.identifier.authorityLee, CF=rp00139en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1139/t03-032en_HK
dc.identifier.scopuseid_2-s2.0-0142027595en_HK
dc.identifier.hkuros93233-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0142027595&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume40en_HK
dc.identifier.issue4en_HK
dc.identifier.spage742en_HK
dc.identifier.epage752en_HK
dc.identifier.isiWOS:000185319300003-
dc.publisher.placeCanadaen_HK
dc.identifier.scopusauthoridChen, J=36038004400en_HK
dc.identifier.scopusauthoridYin, JH=7401693397en_HK
dc.identifier.scopusauthoridLee, CF=8068602600en_HK

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