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1、ARTICLEINPRESSInternationalJournalofRockMechanics&MiningSciences44(2007)871–889www.elsevier.com/locate/ijrmmsApplicationofexperimentaldesignandoptimizationtoPFCmodelcalibrationinuniaxialcompressionsimulation,1JeoungseokYoonGeoForschungsZentrum-Potsdam,TelegrafenbergD-14473,Potsdam,Germa
2、nyReceived13July2006;receivedinrevisedform22December2006;accepted12January2007Availableonline19March2007AbstractAnewapproachhasbeendevisedforcalibratingcontact-bondedparticlemodelsusing‘experimentaldesign’and‘optimization’inuniaxialcompressionsimulation.Theseareappliedtocalculateanoptimu
3、msetofmicroparametersusedingenerationofmodelstobetestedinuniaxialcompressionsimulations.Sensitivitiesofmicroparameterswithrespecttouniaxialcompressivestrength(UCS),Young’smodulus,andPoisson’sratio(i.e.macroscopicresponsesofmodel)weretestedbythePlackett–Burman(PB)designmethod.Then,foreach
4、macroscopicresponse,twomicroparametershavingthelargestimpactsweresingledoutandtheirnon-linearrelationstomacroscopicresponseswereestimatedbystatisticalCentralCompositeDesign(CCD)method.UsingtheresultsfromPBdesignandCCDmethod,theproblemof?ndingasetofmicroparameterswassolved.Usinganoptimiza
5、tionmethod,theoptimumsetisobtainedthatgivesthebestagreementeitherinquantitativeorinqualitativewaysbetweentheresultsbothfromthebondedparticlemodelsimulationsandlaboratory.Theoverallprocedurewasappliedtocalculateoptimumsetsofmicroparametersforgenerationofbondedparticlemodelsforuniaxialcomp
6、ressionsimulationsondifferentrocktypes.Resultsfrombothsimulationsandlaboratorytestsgavefairagreements.Themethodcurrentlyprovidesadequatesolutionsandshowsrelativelyfairapplicabilitytosimulationofrockmaterialswiththeirphysicalpropertiesfallingwithinthefollowingranges:UCS(40–170MPa),Young’s
7、modulus(20–50GPa),andPoisson’sratio(0.19–0.25).r2007ElsevierLtd.Allrightsreserved.Keywords:PFC;Experimentaldesign;Plackett–Burmandesign;Centralcompositedesign;Optimization1.IntroductiontypeofDEM,whichiscommerciallyavailableandnowwidelyusedtosolvemanyrockengineeringandgeom