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Article: The use of an SQP algorithm in slope stability analysis

TitleThe use of an SQP algorithm in slope stability analysis
Authors
KeywordsLimit Analysis
Non-Linear Programming
Rigid Finite Element Method
Sequential Quadratic Programming
Slope Stability
Upper Bound
Issue Date2005
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/
Citation
Communications In Numerical Methods In Engineering, 2005, v. 21 n. 1, p. 23-37 How to Cite?
AbstractIn the upper bound approach to limit analysis of slope stability based on the rigid finite element method, the search for the minimum factor of safety can be formulated as a non-linear programming problem with equality constraints only based on a yield criterion, a flow rule, boundary conditions, and an energy-work balance equation. Because of the non-linear property of the resulting optimization problems, a non-linear mathematical programming algorithm has to be employed. In this paper, the relations between the numbers of nodes, elements, interfaces, and subsequent unknowns and constraints in the approach have been derived. It can be shown that in the large-scale problems, the unknowns are subject to a highly sparse set of equality constraints. Because of the existence of non-linear equalities in the approach, this paper applies first time a special sequential quadratic programming (SQP) algorithm, feasible SQP (FSQP), to obtain solutions for such non-linear optimization problems. In FSQP algorithm, the non-linear equality constraints are turned into inequality constraints and the objective function is replaced by an exact penalty function which penalizes non-linear equality constraint violations only. Three numerical examples are presented to illustrate the potentialities and efficiencies of the FSQP algorithm in the slope stability analysis. Copyright © 2004 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/175570
ISSN
2011 Impact Factor: 1.754
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChen, Jen_US
dc.contributor.authorYin, JHen_US
dc.contributor.authorLee, CFen_US
dc.date.accessioned2012-11-26T08:59:44Z-
dc.date.available2012-11-26T08:59:44Z-
dc.date.issued2005en_US
dc.identifier.citationCommunications In Numerical Methods In Engineering, 2005, v. 21 n. 1, p. 23-37en_US
dc.identifier.issn1069-8299en_US
dc.identifier.urihttp://hdl.handle.net/10722/175570-
dc.description.abstractIn the upper bound approach to limit analysis of slope stability based on the rigid finite element method, the search for the minimum factor of safety can be formulated as a non-linear programming problem with equality constraints only based on a yield criterion, a flow rule, boundary conditions, and an energy-work balance equation. Because of the non-linear property of the resulting optimization problems, a non-linear mathematical programming algorithm has to be employed. In this paper, the relations between the numbers of nodes, elements, interfaces, and subsequent unknowns and constraints in the approach have been derived. It can be shown that in the large-scale problems, the unknowns are subject to a highly sparse set of equality constraints. Because of the existence of non-linear equalities in the approach, this paper applies first time a special sequential quadratic programming (SQP) algorithm, feasible SQP (FSQP), to obtain solutions for such non-linear optimization problems. In FSQP algorithm, the non-linear equality constraints are turned into inequality constraints and the objective function is replaced by an exact penalty function which penalizes non-linear equality constraint violations only. Three numerical examples are presented to illustrate the potentialities and efficiencies of the FSQP algorithm in the slope stability analysis. Copyright © 2004 John Wiley & Sons, Ltd.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/en_US
dc.relation.ispartofCommunications in Numerical Methods in Engineeringen_US
dc.subjectLimit Analysisen_US
dc.subjectNon-Linear Programmingen_US
dc.subjectRigid Finite Element Methoden_US
dc.subjectSequential Quadratic Programmingen_US
dc.subjectSlope Stabilityen_US
dc.subjectUpper Bounden_US
dc.titleThe use of an SQP algorithm in slope stability analysisen_US
dc.typeArticleen_US
dc.identifier.emailLee, CF: leecf@hkucc.hku.hken_US
dc.identifier.authorityLee, CF=rp00139en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1002/cnm.723en_US
dc.identifier.scopuseid_2-s2.0-11144288984en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-11144288984&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume21en_US
dc.identifier.issue1en_US
dc.identifier.spage23en_US
dc.identifier.epage37en_US
dc.identifier.isiWOS:000226039500003-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChen, J=36038004400en_US
dc.identifier.scopusauthoridYin, JH=7401693397en_US
dc.identifier.scopusauthoridLee, CF=8068602600en_US

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