Material Point Method for Coupled Hydromechanical Problems

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1、MaterialPointMethodforCoupledHydromechanicalProblems123KeitaAbe,Ph.D.;KenichiSoga,Ph.D.,M.ASCE;andSamilaBandara,Ph.D.Abstract:Thispaperdescribesanewformulationofthematerialpointmethod(MPM)forsolvingcoupledhydromechanicalproblemsoffluid-saturatedsoilsubjectedtolargedeformation.Asoil–po

2、refluidcoupledMPMalgorithmbasedonBiot’smixturetheoryisproposedforsolvinghydromechanicalinteractionproblemsthatincludechangesinwatertablelocationwithtime.Theaccuracyoftheproposedmethodisexaminedbycomparingtheresultsofthesimulationofaone-dimensionalconsolidationtestwiththecorrespondinga

3、nalyticalsolution.AsensitivityanalysisoftheMPMparametersusedintheproposedmethodiscarriedoutforexaminingtheeffectofthenumberofparticlespermeshandmeshsizeonsolutionaccuracy.Fordemonstratingthecapabilityoftheproposedmethod,aphysicalmodelexperimentofalarge-scaleleveefailurebyseepageissim

4、ulated.Thebehavioroftheleveemodelwithtime-dependentchangesinwatertablematcheswelltotheexperimentalobservations.Themechanismsofseepage-inducedfailurearediscussedbyexaminingthepore-waterpressures,aswellastheeffectivestressescomputedfromthesimulations.DOI:10.1061/(ASCE)GT.1943-5606.0001

5、011.©2013AmericanSocietyofCivilEngineers.Authorkeywords:Coupling;Soildeformation;Numericalanalysis;Seepage;Levees.Introductionstress,andhistory-dependentvariablescanbecarriedbymaterialpoints,whichenablesthespatialandtemporaltrackingofhistory-Itisdifficulttosolvelarge-deformationproble

6、msusingtheconven-dependentvariables(i.e.,preconsolidationpressure,fabrictensor).tionalFEMbecauseexcessivemeshdistortionswarrantremeshingFurthermore,theuseofabackgroundmeshallowsfortheimple-(e.g.,ShaofanandWing2004;LiuandLiu2003).Toovercomementationofboundaryconditionsinamannersimilar

7、tothatinthisdifficulty,severalmesh-freemethodssuchastheelement-freeFEM.Comparedwithothermesh-freemethods,MPMhascom-Galerkinmethod(EFGM)(Belytschkoetal.1994),smoothedputationallyefficientfeatures.Forexample,SPHandEFGMre-particlehydrodynamics(SPH)(Lucy1977;GingoldandMonaghanquiretime-con

8、sumingneighb