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Article: Explicit limit equilibrium solution for slope stability

TitleExplicit limit equilibrium solution for slope stability
Authors
KeywordsFactor of safety
Limit equilibrium method
Slope
Stability
Issue Date2002
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, 2002, v. 26 n. 15, p. 1573-1590 How to Cite?
AbstractConventional methods of slices used for slope stability analysis satisfying all equilibrium conditions involves generally solving two highly non-linear equations with respect to two unknowns, i.e. the factor of safety and the associated scaling parameter. To solve these two equations, complicated numerical iterations are required with non-convergence occasionally occuring. This paper presents an alternative procedure to derive the three equilibrium equations (horizontal and vertical forces equations and moment equation) based on an assumption regarding the normal stress distribution along the slip surface. Combination of these equations results in a single cubic equation in terms of the factor of safety, which is explicitly solved. Theoretical testing demonstrates that the proposed method yields a factor of safety in reasonable agreement with a closed-form solution based on the theory of plasticity. Example studies show that the difference in values of factor of safety between the proposed method, the Spencer method and the Morgenstern-Price method is within 5%. Application of the proposed method to practical slope engineering problems is rather straightforward, but its solution is of the same precision as those given by the conventional rigorous methods of slices since it is still within the rigorous context. Copyright © 2002 John Wiley and Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/71278
ISSN
2015 Impact Factor: 1.758
2015 SCImago Journal Rankings: 1.676
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhu, DYen_HK
dc.contributor.authorLee, CFen_HK
dc.date.accessioned2010-09-06T06:30:32Z-
dc.date.available2010-09-06T06:30:32Z-
dc.date.issued2002en_HK
dc.identifier.citationInternational Journal For Numerical And Analytical Methods In Geomechanics, 2002, v. 26 n. 15, p. 1573-1590en_HK
dc.identifier.issn0363-9061en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71278-
dc.description.abstractConventional methods of slices used for slope stability analysis satisfying all equilibrium conditions involves generally solving two highly non-linear equations with respect to two unknowns, i.e. the factor of safety and the associated scaling parameter. To solve these two equations, complicated numerical iterations are required with non-convergence occasionally occuring. This paper presents an alternative procedure to derive the three equilibrium equations (horizontal and vertical forces equations and moment equation) based on an assumption regarding the normal stress distribution along the slip surface. Combination of these equations results in a single cubic equation in terms of the factor of safety, which is explicitly solved. Theoretical testing demonstrates that the proposed method yields a factor of safety in reasonable agreement with a closed-form solution based on the theory of plasticity. Example studies show that the difference in values of factor of safety between the proposed method, the Spencer method and the Morgenstern-Price method is within 5%. Application of the proposed method to practical slope engineering problems is rather straightforward, but its solution is of the same precision as those given by the conventional rigorous methods of slices since it is still within the rigorous context. Copyright © 2002 John Wiley and 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.subjectFactor of safetyen_HK
dc.subjectLimit equilibrium methoden_HK
dc.subjectSlopeen_HK
dc.subjectStabilityen_HK
dc.titleExplicit limit equilibrium solution for slope stabilityen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0363-9061&volume=26&spage=1573&epage=1590&date=2002&atitle=Explicit+limit+equilibrium+solution+for+slope+stabilityen_HK
dc.identifier.emailLee, CF: leecf@hkucc.hku.hken_HK
dc.identifier.authorityLee, CF=rp00139en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/nag.260en_HK
dc.identifier.scopuseid_2-s2.0-0037176236en_HK
dc.identifier.hkuros76089en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037176236&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume26en_HK
dc.identifier.issue15en_HK
dc.identifier.spage1573en_HK
dc.identifier.epage1590en_HK
dc.identifier.isiWOS:000179651700005-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhu, DY=7403599340en_HK
dc.identifier.scopusauthoridLee, CF=8068602600en_HK

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