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Article: Upper limit analysis of stability of rock and soil slopes using rigid finite elements

TitleUpper limit analysis of stability of rock and soil slopes using rigid finite elements
Authors
KeywordsEngineering geology
Limit analysis
Non-linear programming
Rigid finite element
Slope stability
Upper bound
Issue Date2004
Citation
Yanshilixue Yu Gongcheng Xuebao/Chinese Journal Of Rock Mechanics And Engineering, 2004, v. 23 n. 6, p. 898-905 How to Cite?
AbstractThe development and application of a new upper limit method for 2D and 3D slope stability problems are presented. Rigid finite elements are used to construct a kinematically admissible velocity field. The proposed method formulates the slope stability problems as an optimisation problem based on the upper bound theorem. The objective function for determination of the minimum value of the safety factor has some unknowns, which are subject to a set of linear and non-linear equality constraints 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 non-linear programming problem, which can be solved by a sequential quadratic algorithm. Four typical 2D and 3D slope stability problems selected from the literature are analysed with the presented method. The results of the presented limit analysis are compared with those produced by other approaches.
Persistent Identifierhttp://hdl.handle.net/10722/71162
ISSN
2015 SCImago Journal Rankings: 1.073
References

 

DC FieldValueLanguage
dc.contributor.authorYin, Jen_HK
dc.contributor.authorChen, Jen_HK
dc.contributor.authorLee, CFen_HK
dc.date.accessioned2010-09-06T06:29:28Z-
dc.date.available2010-09-06T06:29:28Z-
dc.date.issued2004en_HK
dc.identifier.citationYanshilixue Yu Gongcheng Xuebao/Chinese Journal Of Rock Mechanics And Engineering, 2004, v. 23 n. 6, p. 898-905en_HK
dc.identifier.issn1000-6915en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71162-
dc.description.abstractThe development and application of a new upper limit method for 2D and 3D slope stability problems are presented. Rigid finite elements are used to construct a kinematically admissible velocity field. The proposed method formulates the slope stability problems as an optimisation problem based on the upper bound theorem. The objective function for determination of the minimum value of the safety factor has some unknowns, which are subject to a set of linear and non-linear equality constraints 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 non-linear programming problem, which can be solved by a sequential quadratic algorithm. Four typical 2D and 3D slope stability problems selected from the literature are analysed with the presented method. The results of the presented limit analysis are compared with those produced by other approaches.en_HK
dc.languageengen_HK
dc.relation.ispartofYanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineeringen_HK
dc.subjectEngineering geologyen_HK
dc.subjectLimit analysisen_HK
dc.subjectNon-linear programmingen_HK
dc.subjectRigid finite elementen_HK
dc.subjectSlope stabilityen_HK
dc.subjectUpper bounden_HK
dc.titleUpper limit analysis of stability of rock and soil slopes using rigid finite elementsen_HK
dc.typeArticleen_HK
dc.identifier.emailLee, CF: leecf@hkucc.hku.hken_HK
dc.identifier.authorityLee, CF=rp00139en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-3042725544en_HK
dc.identifier.hkuros93231en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-3042725544&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume23en_HK
dc.identifier.issue6en_HK
dc.identifier.spage898en_HK
dc.identifier.epage905en_HK
dc.publisher.placeChinaen_HK
dc.identifier.scopusauthoridYin, J=7401693397en_HK
dc.identifier.scopusauthoridChen, J=36038004400en_HK
dc.identifier.scopusauthoridLee, CF=8068602600en_HK

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