具有抛物线型强度包络线的双剪双参数统一强度准则改进式及其应用
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摘要
通过应力莫尔圆分析发现 ,现有的双剪双参数统一强度准则在形式上可看成是对具有直线型强度包络线的Mohr Coulomb强度准则的改进 ,适用于对具有线性强度包络线的岩石作力学分析。对具有抛物线型强度包络线的岩石 ,通过对现有的双剪双参数统一强度准则作相应的非线性化处理 ,导出了具有该类型强度包络线的双剪双参数统一强度准则改进式 ,改进式可用于对承受高压的硬岩和软岩作强度分析。另外 ,还应用改进式对静水压力条件下圆形巷道围岩作了弹塑性分析
The Mohr circle comparisons show that the two-parameter twin shear unified failure criterion used now has the linear type of the failure envelope as the same as the Mohr-Coulomb strength theory, and it is applicable to the rock with the linear type of the failure envelope. For rock with the parabolic form of the failure envelope, the nonlinear improved expression of the two-parameter twin shear unified failure criterion was given out, and this improved failure criterion could be used to analyze the hard rock bearing high pressure and the soft rock which failure envelopes usually take the form of parabolic. In spite of the above work, the elasto-plastic analysis with this new improved failure criterion is applied to the wall rock around the tunnel with circular cross-section under the static hydraulic pressures.
The Mohr circle comparisons show that the two-parameter twin shear unified failure criterion used now has the linear type of the failure envelope as the same as the Mohr-Coulomb strength theory, and it is applicable to the rock with the linear type of the failure envelope. For rock with the parabolic form of the failure envelope, the nonlinear improved expression of the two-parameter twin shear unified failure criterion was given out, and this improved failure criterion could be used to analyze the hard rock bearing high pressure and the soft rock which failure envelopes usually take the form of parabolic. In spite of the above work, the elasto-plastic analysis with this new improved failure criterion is applied to the wall rock around the tunnel with circular cross-section under the static hydraulic pressures.
引文
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[2] MogiK .Failureandflowofrocksunderhightriaxialcompression[J].JGeophysRes,1971,76:12551269.
[3] MichelisP .Polyaxialyieldingofgranularrock[J].JEngMechASCE ,1985,111(18):10491066.
[4] 张金涛,林天健.三轴实验中岩石的应力状态和破坏性质[J].力学学报,1979(2):99105.ZHANGJin tao,LINTian jian.Stressconditionsandvariationsofrupturecharacteristicsofarockasshownbytri axialtest[J].ActaMechicaSinica,1979(2):99105.
[5] 许东俊,耿乃光.岩石强度随中间主应力的变化规律[J].固体力学学报,1985,6(1):7280.XUDong jun,GENGNai guang.Thevariationlawofrockstrengthwithincreaseofintermediateprincipalstress[J].ActaMechanicaSolidaSinica,1985,6(1):7280.
[6] 李小春,许东俊.双剪应力强度理论的试验验证拉西瓦花岗岩强度特性的真三轴实验研究[R].岩土报告(90)52号,武汉:中科院武汉岩土所,1990.LIXiao chun,XUDong jun.ExperimentalVerificationoftheTwinShearTheoryTrueTriaxialTestResearchofStrengthofLawaxiGranite[R].ResearchReport(RockandSoil)(90)52,Wuhan:InstituteofRockandSoilMechanics,ChineseAcademyofScience,1990.
[7] 俞茂宏,何丽南,宋凌宇.双剪强度理论及其推广[J].中国科学(A辑),1985,28(12):11131120.YUMao hong,HELi nan,SONGLing yu.Twinsheartheoryanditsgeneralization[J].ScientiaSinica(SeriesA),1985,28(12):11131120.
[8] 俞茂宏,刘凤羽.一个新的普遍形式的强度理论[J].土木工程学报,1990,23(1):3440.YUMao hong,LIUFeng yu.Anew generalstrengththeory[J].ChinaCivilEngineeringJournal,1990,23(1):3440.
[9] 俞茂宏.岩土类材料的统一强度理论及其应用[J].岩土工程学报,1994,16(2):110.YUMao hong.Unifiedstrengthanditsapplicationforrockandsoil[J].ChineseJournalofGeotechnicalEngi neering,1994,16(2):110.
[10] 俞茂宏.双剪理论及其应用[M ].北京:科学出版社,1998.YUMao hong.TwinShearTheoryandItsApplication[M ].Beijing:SciencePress,1998.
[11] YUMao hong.UnifiedStrengthTheoryandItsAppli cations[M].Berlin:Springer,2003.
[12] 胡小荣,俞茂宏.统一强度理论及其在巷道围岩弹塑性分析中的应用研究[J].中国有色金属学报,2002,12(5):10211026.HUXiao rong,YUMao hong.Unifiedstrengththeoryanditsapplicationinelasto plasticanalysistotunnel[J].TheChineseJournalofNonferrousMetals,2002,12(5):10211026.
[13] 徐栓强,俞茂宏,胡小荣.基于双剪统一强度理论的地下圆形洞室稳定性的研究[J].煤炭学报,2003,28(5):522526.XUShuang qiang,YUMao hong,HUXiao rong.Thestabilityanalysisofcirculartunnelbasedontwinshearunifiedstrengththeory[J].JournalofChinaSociety,2003,28(5):522526.
[14] 宋 俐,张永强,俞茂宏.压力隧洞弹塑性分析的统一解[J].工程力学,1998,15(4):5761.SONGli,ZHANGYong qiang,YUMao hong.Plas toelasticunifiedanalysisofpressuretunnel[J].Engi neeringMechanics,1998,15(4):5761.
[15] 赵彭年.松散介质力学[M ].北京:地震出版社,1995.ZHAOPeng nian.MechanicsofLooseMedium[M ].Beijing:EarthquakePress,1995.
[16] 于学馥,郑颖人,刘怀恒,等.地下工程围岩稳定分析[M ].北京:煤炭工业出版社,1983.YUXue fu,ZHENGYing ren,LIUHuai heng,etal.StabilityAnalysisonRockWallinUndergroundEngi neering[M].Beijing:ChinaCoalIndustryPress,1983.
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