基于统一强度准则改进式的压力隧洞弹塑性应力分析
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摘要
基于具有抛物线型强度包络线的统一强度准则,即对双剪双参数统一强度准则进行相应的非线性化处理,考虑了中间主应力影响,分析在渗流作用下压力隧洞弹塑性力学行为。通过分析中间主应力对压力隧洞的塑性区半径影响可知,随着中间主应力的参数的增大,塑性区半径也相应减小。通过考虑和不考虑渗流场影响的实例对比分析表明,考虑渗流场时所得塑性区半径要比不考虑时大,而且随着孔隙水压力的增大,渗流场的影响越显著。隧洞径向应力和切向应力也与中间主应力参数b和渗流场密切相关。通过与直线型统一强度准则对比分析可知,采用两种不同准则时所得结果相差较大。隧洞设计时应根据岩石强度特性合理地选择数b,为强度包络线近似于二次抛物线的围岩隧洞设计提供理论依据。
Based on the unified strength criterion with parabolic failure envelope,the nonlinear improved expression of the two-parameter twin shear unified criterion is obtained.Elastoplastic analysis of pressure tunnels is presented by considering the seepage and intermediate principal stress.The results show that the intermediate principalstress parameter b in unified strength theory has significant effect on the radius of plastic zone.The radius of plastic zone is decreased along with the increase of the intermediate principal stress parameter b.An example is analyzed and contrasted with and without considering seepage.The radius of plastic zone with considering influence of seepage is larger than that without considering the seepage influence.The results also indicate that the parameter b and seepage have significant influences on tangential stress and radial stress.The results obtained by the original linear expression and the nonlinear improved expression of the two-parameter twin shear unified strength theory are large difference.In tunnel design,the unified strength theory parameter should be reasonably adopted according to surrounding rock material properties.So as to provide theoretical supports for tunnel design.
Based on the unified strength criterion with parabolic failure envelope,the nonlinear improved expression of the two-parameter twin shear unified criterion is obtained.Elastoplastic analysis of pressure tunnels is presented by considering the seepage and intermediate principal stress.The results show that the intermediate principalstress parameter b in unified strength theory has significant effect on the radius of plastic zone.The radius of plastic zone is decreased along with the increase of the intermediate principal stress parameter b.An example is analyzed and contrasted with and without considering seepage.The radius of plastic zone with considering influence of seepage is larger than that without considering the seepage influence.The results also indicate that the parameter b and seepage have significant influences on tangential stress and radial stress.The results obtained by the original linear expression and the nonlinear improved expression of the two-parameter twin shear unified strength theory are large difference.In tunnel design,the unified strength theory parameter should be reasonably adopted according to surrounding rock material properties.So as to provide theoretical supports for tunnel design.
引文
[1]蔡晓鸿,蔡勇平.水工压力隧洞结构应力计算[M].北京:中国水利水电出版社,2004.
[2]MICHELIS P.Polyaxial yielding of granular rock[J].Journal of Engineering Mechanics,ASCE,1985,111(18):1049-1066.
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[4]俞茂宏.双剪理论及其应用[M].北京:科学出版社,1998.
[5]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.SONG Li,ZHANG Yong-qiang,YU Mao-hong.Plastoelastic unified analysis of pressure tunnel[J].Engineering Mechanics,1998,15(4):57-61.
[6]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.
[7]蔡美峰,何满潮,刘东燕.岩石力学与工程[M].北京:科学出版社,2002.
[8]胡小荣.具有非线性强度包络线的双剪双参数统一强度准则改进式及其特征分析[J].岩石力学与工程学报,2005,24(22):4048-4051.HU Xiao-rong.Improved expressions of two-parameterdouble shear unified failure criterion with nonlinearfailure envelopes and their behavior analysis[J].ChineseJournal of Rock Mechanics and Engineering,2005,24(22):4048-4051.
[9]胡小荣.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[J].中国有色金属学报,2004,14(12):2029-2034.HU Xiao-rong.Improvement of two-parameter twin shearunified failure criterion with parabolic failure envelopeand its application in elasto-plastic analysis on wall rockaround tunnel[J].The Chinese Journal of NonferrousMetals,2004,14(12):2029-2034.
[10]张常光,张庆贺,赵均海.考虑应变软化、剪胀和渗流的水工隧洞解析解[J].岩土工程学报,2009,31(12):1941-1946.ZHANG Chang-guang,ZHANG Qing-he,ZHAO Jun-hai.Analytical solutions of hydraulic tunnels consideringstrain softening,shear dilation and seepage[J].ChineseJournal of Geotechnical Engineering,2009,31(12):1941-1946.
[11]赵彭年.松散介质力学[M].北京:地震出版社,1995.
[12]任青文,邱颖.具有衬砌圆形隧洞的弹塑性解[J].工程力学,2005,22(2):212-217.REN Qing-wen,QIU Ying.Elastic-plastic solution ofcircular tunnel with liner[J].Engineering Mechanics,2005,22(2):212-217.
[2]MICHELIS P.Polyaxial yielding of granular rock[J].Journal of Engineering Mechanics,ASCE,1985,111(18):1049-1066.
[3]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.XU Dong-jun,GENG Nai-guang.The variation law ofrock strength with increase of intermediate principalstress[J].Acta Mechanica Solida Sinica,1985,6(1):72-80.
[4]俞茂宏.双剪理论及其应用[M].北京:科学出版社,1998.
[5]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.SONG Li,ZHANG Yong-qiang,YU Mao-hong.Plastoelastic unified analysis of pressure tunnel[J].Engineering Mechanics,1998,15(4):57-61.
[6]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.
[7]蔡美峰,何满潮,刘东燕.岩石力学与工程[M].北京:科学出版社,2002.
[8]胡小荣.具有非线性强度包络线的双剪双参数统一强度准则改进式及其特征分析[J].岩石力学与工程学报,2005,24(22):4048-4051.HU Xiao-rong.Improved expressions of two-parameterdouble shear unified failure criterion with nonlinearfailure envelopes and their behavior analysis[J].ChineseJournal of Rock Mechanics and Engineering,2005,24(22):4048-4051.
[9]胡小荣.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[J].中国有色金属学报,2004,14(12):2029-2034.HU Xiao-rong.Improvement of two-parameter twin shearunified failure criterion with parabolic failure envelopeand its application in elasto-plastic analysis on wall rockaround tunnel[J].The Chinese Journal of NonferrousMetals,2004,14(12):2029-2034.
[10]张常光,张庆贺,赵均海.考虑应变软化、剪胀和渗流的水工隧洞解析解[J].岩土工程学报,2009,31(12):1941-1946.ZHANG Chang-guang,ZHANG Qing-he,ZHAO Jun-hai.Analytical solutions of hydraulic tunnels consideringstrain softening,shear dilation and seepage[J].ChineseJournal of Geotechnical Engineering,2009,31(12):1941-1946.
[11]赵彭年.松散介质力学[M].北京:地震出版社,1995.
[12]任青文,邱颖.具有衬砌圆形隧洞的弹塑性解[J].工程力学,2005,22(2):212-217.REN Qing-wen,QIU Ying.Elastic-plastic solution ofcircular tunnel with liner[J].Engineering Mechanics,2005,22(2):212-217.
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