THE ANALYSIS OF THE STABILITY OF GENERAL SLIP SURFACES

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1、THEANALYSISOFTHESTABILITYOFGENERALSLIPSURFACESN.R.MORGENSTERN,B.A.Sc.,Ph.D.*,andV.E.PRICE,M.A.,Ph.D.7SYNOPSISWithintheframeworkoflimitequilibriummethodsDanslacadredesmethodesd’equilibrelimiteofstabilityanalysis,norestrictionneedbeplacedatd’analysedesta

2、bilite,iln’yapasbesoind’imposertheoutsetupontheshapeofthepossibleslipsurface.derestrictionsaudepartsurlaformedelasurfacedeInmanycases,thecriticalsurfacemaydeviateglissementCventuelle.Dansbiendescas,lasur-facecritiquepeutdevierd’uneman&esignificativesig

3、nificantlyfromacircleoraplaneandthereforead’uncercleoud’unplanatparconsequentunemethodthatfacilitatestheanalysisofsurfacesofmethodequifacilitel’analysedessurfacesdeformesarbitraryshapeisofinterest.Amethodfordoingarbitrairespresenteuninter&t.Onpresenteu

4、nethisispresented.Theassumptionsnecessarytomethodepouraccomplircela.Ondiscutedesmaketheproblemstaticallydeterminatearedis-hypothesesnecessairespourqueleproblbmesoitcussed.Thesolutionofthegoverningequationsdetermineaupointdevuedelastatique.Laensuresthat

5、allequilibriumandboundarycandi-solutiondesequationsdominantesgarantitquetouteslesconditionsd’equilibreetdelimitesoienttionsaresatisfied.Themethodhasbeenpro-satisfaites.Lamethodeaet6programmeepourunegrammedforadigitalcomputerandsomeexamplescalculatriced

6、igitaleetondonnequelquesexemplesofitsapplicationaregiven.Comparisonsarealsodesesapplications.D’autresmethodesd’analyseymadewithothermethodsofanalysis.soncomparees.INTRODUCTIONThenecessityofconsideringbodyforces,pore-waterpressures,andavarietyofsoiltype

7、sintheanalysisofthestabilityofearthslopesvitiatestheapplicationofmethodsthatarewell-foundedinthemechanicsofcontinuaandemployrepresentativeconstitutiveequations.Asaresultofthis,limitequilibriummethodsofanalysisarecommonlyused.Thesemethodsinvokenokinemat

8、icalconsiderationsregardingsoilbehaviourandhencerequirethattheshapeofthepotentialslipsurfacebeassumed.Theselectionoftheshapeofthissurfaceistherefore,toalargedegree,arbitrary.However,itiscommonlyassumedintheanalysisofslopestabilityproble