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1、TheoreticalandAppliedFractureMechanics56(2011)95–103ContentslistsavailableatSciVerseScienceDirectTheoreticalandAppliedFractureMechanicsjournalhomepage:www.elsevier.com/locate/tafmecHoek–BrowncriterionappliedtocirculartunnelusingelastoplasticityandinsituaxialstressX.P.Zh
2、ou⇑,J.L.LiSchoolofCivilEngineering,ChongqingUniversity,Chongqing400045,PRChinaKeyLaboratoryofNewTechnologyforConstructionofCitiesinMountainArea,ChongqingUniversity,MinistryofEducation,Chongqing400045,PRChinaarticleinfoabstractArticlehistory:BasedonthenonlinearHoek–Brown
3、failurecriterion,elastoplasticanalyticalsolutionsaredevelopedforAvailableonline12October2011theelastoplasticstresses,strainsandplasticzonesaroundacirculartunnelsubjectedtodifferentvalueoftheaxialinsitustress.Effectsofthetransverseinsitustress,theaxialinsitustressandthes
4、trengthKeywords:parametersofrockmassesontheelastoplasticstresses,strainsandplasticzonesinthesurroundingrockCirculartunnelmassesareinvestigated.Itisfoundfromthenumericalresultsthatthestresses,strains,andplasticzonesTheaxialinsitustressinthesurroundingrockdependnotonlyont
5、hetransverseinsitustressbutalsoontheaxialinsitustressElastoplasticsolutionaswellasthemechanicalparametersofrockmasses.PlasticzoneÓ2011ElsevierLtd.Allrightsreserved.Hoek–Browncriterion1.Introduction2.TheHoek–BrowncriterionIntheprevioustheoreticalanalysesoftheelastoplasti
6、cbehaviorWhenrockmassessatisfiesthenonlinearHoek–Browncrite-oftherockmaterialsaroundacirculartunnel[1–7](asshowninrion,thefailureofrockmassesoccurs.TheHoek–BrownyieldFig.1),thecirculartunnelissubjectedtoahydrostaticinsitustresscriterionhasbeenexpressedinthefollowingform[
7、12,13]:atinfinity,theplanestrainassumptionaretakenintoaccount.Intheseaxisymmetricelastic-plasticorelasto-brittle-plasticplane1=2mrrstrainanalysiswitharbitraryvalueoftheaxialinsitustress,therh¼rrþrcþsð1ÞrclinearMohr–Coulombfailurecriterioninwhicheffectsofdisconti-nuitie
8、sonrockstrengtharenottakenintoaccountisusuallyap-pliedtodeterminethefailureoftherockmaterials[8].HoweverThestr