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1、InternationalJournalofRockMechanics&MiningSciences54(2012)114–124ContentslistsavailableatSciVerseScienceDirectInternationalJournalofRockMechanics&MiningSciencesjournalhomepage:www.elsevier.com/locate/ijrmmsTechnicalNoteComparisonoftwotrue-triaxialstrengthcriterianMingqingYouSchoolofEnergySciencesand
2、Engineering,HenanPolytechnicUniversity,Jiaozuo454010,ChinaarticleinfoArticlehistory:Received11September2011Receivedinrevisedform3June2012Accepted7June2012Availableonline30June20121.IntroductionnottheCoulombcriterionandtheHoek–Browncriterionwithtwoparameters.Manytrue-triaxialcriteriaorpolyaxialcriter
3、iahavebeenTheRafiaicriterionwithfiveparameters[9]fortrue-triaxialproposedandstudiedtodescribetheeffectoftheintermediatestrengthwasthoughtasthebestone,aftercomparedtheprincipalstressonstrengthofrock[1–9].CriteriawiththeformlmodifiedWiebols–Cookcriterion[13]andtheexponentialcriter-(s1,s2,s3)¼F[Z(s1,s2,s3
4、)]thatmaybedeterminedbyfittingion[6]usingtestdataofsixrocksbasedontherootmeansquarepseudo-triaxialexperimentaldata,however,areusuallynoterror(RMSE).However,theminimumRMSEdoesnotconfirmexpectedtoexpressthestrengthundervariousstressstate.Thosecompletelythevalidityofacriterionasillustratedin[10].Theseemi
5、nglygoodcorrelationsmainlyresultfromthedominantRafiaicriterionneedstobeanalyzedmathematicallyandnumeri-influenceofthemajorprincipalstressinthemetricsoflandZ,callyaswell.forwhichsomephysicalconceptsornamesaregiven,suchasmaximumshearstress,octahedralshearstress,normalstressoreffectivemeannormalstress,an
6、dstresstensorinvariants[6].2.ConventionaltriaxialstrengthcriteriaThetrue-triaxialstrengthcriterionproposedbyYou[6]isanexplicitformTheexponentialcriteriondescribestherelationbetweencon-ventionaltriaxialcompressionstrengthandconfiningpressures1¼sSðs3ÞþHðs2,s3Þð1Þwithlowmeanmisfitforbrittlerocks,andducti
7、lerocksaswell[6,10]:wheresSistheconventionaltriaxialstrengthatconfiningðK1Þs03pressure(CP)ofs3;HisafunctiontodescribetheeffectofthesSs3¼Q1ðQ1Q0ÞexpQQð2Þ10intermediateprincipalstresss2.Theexplic
