圆弧夹层破坏机制与被动土压力的非线性极限分析
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摘要
在非线性破坏准则下,将水平地震力作为拟静态力,根据极限分析上限定理,利用圆弧夹层破坏机制求解非线性破坏准则下的被动土压力,并将计算结果与多三角形刚块破坏机制下的数值结果进行比较。研究结果表明:圆弧夹层机制下的被动土压力与多三角形刚块机制下的被动土压力几乎相等;水平地震系数与非线性参数对被动土压力有较大影响;土体非线性参数影响破坏面的形状。
Under the condition of nonlinear failure criterion,the earthquake force was regarded as pseudo-static load.In the framework of the upper bound of limit analysis,the passive earth pressures acting on rigid walls were estimated with the combination of circular and planar failure mechanism,where the backfill followed the nonlinear failure criterion.The solutions of passive earth pressures using the combination of circular and planar failure mechanism were compared with numerical solutions using multi-triangular blocks,which aimed to prove the validity of the present method.The results show that the combination of circular and planar failure mechanism is effective to calculate the passive earth pressure,and that the seismic coefficient and nonlinear parameters have significant influences on the pressure.The nonlinear parameters of backfills have influence on the failure shape of rigid walls.
Under the condition of nonlinear failure criterion,the earthquake force was regarded as pseudo-static load.In the framework of the upper bound of limit analysis,the passive earth pressures acting on rigid walls were estimated with the combination of circular and planar failure mechanism,where the backfill followed the nonlinear failure criterion.The solutions of passive earth pressures using the combination of circular and planar failure mechanism were compared with numerical solutions using multi-triangular blocks,which aimed to prove the validity of the present method.The results show that the combination of circular and planar failure mechanism is effective to calculate the passive earth pressure,and that the seismic coefficient and nonlinear parameters have significant influences on the pressure.The nonlinear parameters of backfills have influence on the failure shape of rigid walls.
引文
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[10]杨小礼,李亮,刘宝琛.非线性破坏准则对被动土压力的影响[J].工程力学,2004,21(1):31-36.YANG Xiao-li,LI-liang,LIU Bao-chen.Influences of a nonlinear failure criterion on passive earth pressure[J].Engineering Mechanics,2004,21(1):31-36.
[11]YANG Xiao-li,YIN Jian-hua.Estimation of seismic passive earth pressures with nonlinear failure criterion[J].Engineering Structures,2006,28(3):342-348.
[12]YANG Xiao-li.Upper bound limit analysis of active earth pressure with different fracture surface and nonlinear yield criterion[J].Theoretical and Applied Fracture Mechanics,2007,47(1):46-56.
[13]Zhang X J,Chen W F.Stability analysis of slopes with general nonlinear failure criterion[J].International Journal for Numerical and Analytical Methods in Geomechanics,1987,11(1):33-50.
[14]Soubra A H.Upper-bound solution for bearing capacity of foundations[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):59-68.
[15]Soubra A H,Macuh B.Active and passive earth pressure coefficients by a kinematical approach[J].Proceeding of the Institution of Civil Engineers,Geotechnical Engineering,2002,55(2):119-131.
[16]Hanna A,Khoury I.Passive earth pressure of over consolidated cohesionless backfill[J].Journal of Geotechnical and Geoenvironmental Engineering,2005,131(8):978-986.
[17]YANG Xiao-li.Seismic bearing capacity of a strip footing on rock slopes[J].Canadian Geotechnical Journal,2009,46(8):943-954.
[18]YANG Xiao-li.Seismic displacement of rock slopes with nonlinear Hoek-Brown failure criterion[J].International Journal of Rock Mechanics and Mining Sciences,2007,44(6):948-953.
[2]Mroz Z,Drescher A.Limit plasticity approach to some cases of flow of bulk solids[J].Journal of Engineering for Industry,1969,91(2):357-364.
[3]Chen W F.Limit analysis and soil plasticity[M].Amsterdam:Elsevier,1975:10-40.
[4]Soubra A H,Regenass P.Three-dimensional passive earth pressure by kinematical approach[J].Journal of Geotechnical and Geoenvironmental Engineering,2001,26(11):969-978.
[5]Soubra A H.Static and seismic passive earth pressure coefficients on rigid retaining structure[J].Canadian Geotechnical Journal,2000,37(2):463-478.
[6]Lade P V.Elasto-plastic stress-strain theory for cohesionless soil with curved yield surface[J].Int J Solids Structure,1977,13(5):1019-1035.
[7]Hoek E,Brown E.Empirical strength criterion for rock masses[J].Journal of Geotechnical Engineering Division,ASCE,1980,106(9):1013-1035.
[8]Agar J G,Morgenstern N R,Scott J.Shear strength and stress-strain behavior of Athabasca oil sand at elevated temperatures and pressure[J].Canadian Geotechnical Journal,1985,24(1):1-10.
[9]YANG Xiao-li,YIN Jian-hua.Slope equivalent Mohr-Coulomb strength parameters for rock masses satisfying the Hoek-Brown criterion[J].Rock Mechanics and Rock Engineering,2010,43(4):505-511.
[10]杨小礼,李亮,刘宝琛.非线性破坏准则对被动土压力的影响[J].工程力学,2004,21(1):31-36.YANG Xiao-li,LI-liang,LIU Bao-chen.Influences of a nonlinear failure criterion on passive earth pressure[J].Engineering Mechanics,2004,21(1):31-36.
[11]YANG Xiao-li,YIN Jian-hua.Estimation of seismic passive earth pressures with nonlinear failure criterion[J].Engineering Structures,2006,28(3):342-348.
[12]YANG Xiao-li.Upper bound limit analysis of active earth pressure with different fracture surface and nonlinear yield criterion[J].Theoretical and Applied Fracture Mechanics,2007,47(1):46-56.
[13]Zhang X J,Chen W F.Stability analysis of slopes with general nonlinear failure criterion[J].International Journal for Numerical and Analytical Methods in Geomechanics,1987,11(1):33-50.
[14]Soubra A H.Upper-bound solution for bearing capacity of foundations[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):59-68.
[15]Soubra A H,Macuh B.Active and passive earth pressure coefficients by a kinematical approach[J].Proceeding of the Institution of Civil Engineers,Geotechnical Engineering,2002,55(2):119-131.
[16]Hanna A,Khoury I.Passive earth pressure of over consolidated cohesionless backfill[J].Journal of Geotechnical and Geoenvironmental Engineering,2005,131(8):978-986.
[17]YANG Xiao-li.Seismic bearing capacity of a strip footing on rock slopes[J].Canadian Geotechnical Journal,2009,46(8):943-954.
[18]YANG Xiao-li.Seismic displacement of rock slopes with nonlinear Hoek-Brown failure criterion[J].International Journal of Rock Mechanics and Mining Sciences,2007,44(6):948-953.
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