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Article: Nonlinear evolutionary mechanisms of instability of plane-shear slope: Catastrophe, bifurcation, chaos and physical prediction

TitleNonlinear evolutionary mechanisms of instability of plane-shear slope: Catastrophe, bifurcation, chaos and physical prediction
Authors
KeywordsChaos
Cusp catastrophe
Homogeneity index
Instability
Physical prediction
Stiffness ratio
Issue Date2006
PublisherSpringer-Verlag Wien. The Journal's web site is located at http://www.springer.at/rock_mechanics
Citation
Rock Mechanics And Rock Engineering, 2006, v. 39 n. 1, p. 59-76 How to Cite?
AbstractA cusp catastrophe model is presented and the necessary and sufficient conditions leading to landslides are discussed. The sliding surface is assumed to be planar and is a combination of two media: medium 1 is elastic-brittle or strain-hardening and medium 2 is strain-softening. The shear stress-strain constitutive model for the strain-softening medium is described by the Weibull's distribution law. This paper is a generalization and extension of the paper by Qin et al. (2001b), in which the shear stress-strain constitutive model for medium 2 was described by a negative exponent distribution; a special case of the Weibull's distribution law. It is found that the instability of the slope relies mainly on both the stiffness ratio of the media and the homogeneity index and that a new role of water is to enlarge the material homogeneity or brittleness and hence to reduce the stiffness ratio. A nonlinear dynamic model (also called a physical forecasting model), which is derived by considering the time-dependent behavior of the strain-softening medium, is used to study the time prediction of landslides. An algorithm of inversion on the nonlinear dynamic model is suggested for seeking the precursory abnormality and abstracting mechanical parameters from the observed series of a landslide. A case study of the Jimingsi landslide is analysed and its nonlinear dynamic model is established from the observation series of this landslide using the suggested model and the algorithm of inversion. It is found that the catastrophic characteristic index |D| shows a quick rise till reaching an extremely high peak value after the slope evolves into the tertiary creep, and subsequently approaches a zero value prior to instability, which can be regarded as an important precursory abnormality index. By taking into account the evolutionary characteristic of the slope being in the secondary creep, a simplified nonlinear dynamic model is proposed for studying the properties of bifurcation and chaos. It is shown that the emergence of chaos depends on the mechanical parameters of the sliding-surface media.
Persistent Identifierhttp://hdl.handle.net/10722/72726
ISSN
2015 Impact Factor: 2.386
2015 SCImago Journal Rankings: 1.939
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorQin, SQen_HK
dc.contributor.authorJiao, JJen_HK
dc.contributor.authorLi, ZGen_HK
dc.date.accessioned2010-09-06T06:44:32Z-
dc.date.available2010-09-06T06:44:32Z-
dc.date.issued2006en_HK
dc.identifier.citationRock Mechanics And Rock Engineering, 2006, v. 39 n. 1, p. 59-76en_HK
dc.identifier.issn0723-2632en_HK
dc.identifier.urihttp://hdl.handle.net/10722/72726-
dc.description.abstractA cusp catastrophe model is presented and the necessary and sufficient conditions leading to landslides are discussed. The sliding surface is assumed to be planar and is a combination of two media: medium 1 is elastic-brittle or strain-hardening and medium 2 is strain-softening. The shear stress-strain constitutive model for the strain-softening medium is described by the Weibull's distribution law. This paper is a generalization and extension of the paper by Qin et al. (2001b), in which the shear stress-strain constitutive model for medium 2 was described by a negative exponent distribution; a special case of the Weibull's distribution law. It is found that the instability of the slope relies mainly on both the stiffness ratio of the media and the homogeneity index and that a new role of water is to enlarge the material homogeneity or brittleness and hence to reduce the stiffness ratio. A nonlinear dynamic model (also called a physical forecasting model), which is derived by considering the time-dependent behavior of the strain-softening medium, is used to study the time prediction of landslides. An algorithm of inversion on the nonlinear dynamic model is suggested for seeking the precursory abnormality and abstracting mechanical parameters from the observed series of a landslide. A case study of the Jimingsi landslide is analysed and its nonlinear dynamic model is established from the observation series of this landslide using the suggested model and the algorithm of inversion. It is found that the catastrophic characteristic index |D| shows a quick rise till reaching an extremely high peak value after the slope evolves into the tertiary creep, and subsequently approaches a zero value prior to instability, which can be regarded as an important precursory abnormality index. By taking into account the evolutionary characteristic of the slope being in the secondary creep, a simplified nonlinear dynamic model is proposed for studying the properties of bifurcation and chaos. It is shown that the emergence of chaos depends on the mechanical parameters of the sliding-surface media.en_HK
dc.languageengen_HK
dc.publisherSpringer-Verlag Wien. The Journal's web site is located at http://www.springer.at/rock_mechanicsen_HK
dc.relation.ispartofRock Mechanics and Rock Engineeringen_HK
dc.subjectChaosen_HK
dc.subjectCusp catastropheen_HK
dc.subjectHomogeneity indexen_HK
dc.subjectInstabilityen_HK
dc.subjectPhysical predictionen_HK
dc.subjectStiffness ratioen_HK
dc.titleNonlinear evolutionary mechanisms of instability of plane-shear slope: Catastrophe, bifurcation, chaos and physical predictionen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0723-2632&volume=39&issue=1&spage=59&epage=76&date=2006&atitle=Nonlinear+Evolutionary+Mechanisms+of+Instability+of+Plane-Shear+Slope:+Catastrophe,+Bifurcation,+Chaos+and+Physical+Predictionen_HK
dc.identifier.emailJiao, JJ:jjiao@hku.hken_HK
dc.identifier.authorityJiao, JJ=rp00712en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s00603-005-0049-4en_HK
dc.identifier.scopuseid_2-s2.0-31144478669en_HK
dc.identifier.hkuros120804en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-31144478669&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume39en_HK
dc.identifier.issue1en_HK
dc.identifier.spage59en_HK
dc.identifier.epage76en_HK
dc.identifier.isiWOS:000234875900004-
dc.publisher.placeAustriaen_HK
dc.identifier.scopusauthoridQin, SQ=53867015900en_HK
dc.identifier.scopusauthoridJiao, JJ=7102382963en_HK
dc.identifier.scopusauthoridLi, ZG=26642863000en_HK

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