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.由于直线型强度包络线对岩石的抗拉强度特性解释不好,不如双曲线型强度包络线.为此,通过将现有的双剪双参数统一强度准则做相应的非线性化处理,导出了具有双曲线型强度包络线的双剪双参数统一强度准则改进式,并将其用于对静水压力条件下圆形巷道围岩的弹塑性分析.
The Mohr circle comparisons show that the two-parameter twin shear unified failure criterion used now has the linear type of the failure envelop same as the Mohr-Coulomb strength theory, so the former could be considered as the improvement of the latter. But for failure envelops, the linear type is inferior to the hyperbolic type in describing the rock tensile properties. On rock with the hyperbolic failure envelop, the nonlinear improved expression of the two-parameter twin shear unified failure criterion was given out and it was used in elasto-plastic analysis for the wall rock around the tunnel with circular cross-section in static hydraulic pressure condition.
The Mohr circle comparisons show that the two-parameter twin shear unified failure criterion used now has the linear type of the failure envelop same as the Mohr-Coulomb strength theory, so the former could be considered as the improvement of the latter. But for failure envelops, the linear type is inferior to the hyperbolic type in describing the rock tensile properties. On rock with the hyperbolic failure envelop, the nonlinear improved expression of the two-parameter twin shear unified failure criterion was given out and it was used in elasto-plastic analysis for the wall rock around the tunnel with circular cross-section in static hydraulic pressure condition.
引文
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[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):522～526.
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[2] MogiK.Failureandflowofrocksunderhightriaxialcompression[J].J.Geophys.Res.,1971,76:1255～1269.
[3] MichelisP.Polyaxialyieldingofgranularrock[J].J.Eng.Mech.ASCE,1985,111(18):1049～1066.
[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,1979,2:99～105.
[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):72～80.
[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].中科院武汉岩土所,岩土报告(90)52号.
[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):1113～1120.
[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):34～40.
[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):1～10.
[10] 俞茂宏.双剪理论及其应用[M].北京:科学出版社,1998.187～246.
[11] YuMaohong.Unifiedstrengththeoryanditsapplications[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):1021～1026.
[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):522～526.
[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):57～61.
[15] 赵彭年.松散介质力学[M].北京:地震出版社,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.
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