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1、附:英文翻譯LIMITANALYSISOFSOILSLOPESSUBJECTEDTOPORE-WATERPRESSURESByJ.KimR.salgado,assoicitemember,ASCE,andH.S.,member,ASCEABSTRACT:thelimit-equilibriummethodiscommonly,usedforslopestabilityanalysis.However,itiswellknownthatthesolutionobtainedfromthelimit-equilibriummethodisnotrigorous,because
2、neitherstaticnorkinematicadmissibilityconditionsaresatisfied.Limitanalysistakesadvantageofthelower-andupper-boundtheoremofplasticitytoproviderelativelysimplebutrigorousboundsonthetruesolution.Inthispaper,threenoddedlineartriangularfiniteelementsareusedtoconstructbothstaticallyadmissiblest
3、ressfieldsforlower-boundanalysisandkinematicallyadmissiblevelocityfieldsforupper-boundanalysis.Byassuminglinearvariationofnodalandelementalvariablesthedeterminationofthebestlower-andupper-boundsolutionmaybesetupasalinearprogrammingproblemwithconstraintsbasedonthesatisfactionofstaticandkin
4、ematicadmissibility.Theeffectsofpro-waterpressureareconsideredandincorporatedintothefinite-elementformulationssothateffectivestressanalysisofsaturatedslopemaybedone.Resultsobtainedfromlimitanalysisofsimpleslopeswithdifferentground-waterpatternsarecomparedwiththoseobtainedfromthelimit-equi
5、libriummethod.INTRODUCTIONStabilityanddeformationproblemingeotechnicalengineeringareboundary-valueproblem;differentialequationsmustbesolvedforgivenboundaryconditions.Solutionsarefoundbysolvingdifferentialequationsderivedfromconditionofequilibrium,compatibility,andtheconstitutiverelationof
6、thesoil,subjectedtoboundarycondition.Traditionally,insoilmechanics,thetheoryofelasticityisusedtosetupthedifferentialequationsfordeformationproblems,whilethetheoryofplasticityisusedforstabilityproblems.Toobtainsolutionforloadingsrangingfromsmalltosufficientlylargetocausecollapseofaportiono
7、fthesoilmass,acompleteelastoplasticanalysisconsideringthemechanicalbehaviorofthesoiluntilfailuremaybethoughtofasapossiblemethod.However,suchanelastoplasticanalysisisrarelyusedinpracticeduetothecomplexityofthecomputations.Fromapracticalstandpoint,theprimaryfocusofast