基于极限分析有限元与强度折减法的边坡稳定性分析方法
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摘要
采用极限分析有限元结合强度折减理论对边坡稳定性进行研究,定义无量纲参数P并将所得边坡安全系数作为判定边坡是否失稳的依据,将计算所得安全系数与已有文献结果进行比较验证,验证结果表明所采用方法能够更好地评估边坡稳定性。对不同参数影响下的边坡稳定性进行分析,讨论了摩擦角对边坡失稳破坏模式的影响。研究结果表明:所采用方法求得的安全系数上下限差值小于1%,可以用上下限的平均值来评估边坡安全系数;边坡坡脚、摩擦角和P对边坡稳定性均有很大的影响。
In this study, the stability of slope is studied by using finite element limit analysis method incorporating the strength reduction theory, the stability of slope is judged by using the factor of safety(FoS) with defined dimensionless parameter Pc. The calculated FoS is validated through a comparison with existing literature results, it shows that the method proposed in this study could estimate the stability of slope more accurately. Then, the stability of slope influenced by different parameters is analyzed, the effect of frictional angle on the slope failure mechanism is discussed. The results show that the values of FoS obtained are bracketed within ±1% from above and below, the average FoS value can be used to investigate the slope stability; the slope angle, frictional angle and dimensionless parameter Pc all have a significant influence on the slope stability.
In this study, the stability of slope is studied by using finite element limit analysis method incorporating the strength reduction theory, the stability of slope is judged by using the factor of safety(FoS) with defined dimensionless parameter Pc. The calculated FoS is validated through a comparison with existing literature results, it shows that the method proposed in this study could estimate the stability of slope more accurately. Then, the stability of slope influenced by different parameters is analyzed, the effect of frictional angle on the slope failure mechanism is discussed. The results show that the values of FoS obtained are bracketed within ±1% from above and below, the average FoS value can be used to investigate the slope stability; the slope angle, frictional angle and dimensionless parameter Pc all have a significant influence on the slope stability.
引文
[1] DENG D, ZHAO L, LI L. Limit equilibrium slope stability analysis using the nonlinear strength failure criterion[J]. Canadian Geotechnical Journal, 2014, 52(5): 563.
[2] YANG X L, LI Z W. Comparison of factors of safety using a 3D failure mechanism with kinematic approach[J]. International Journal of Geomechanics, 2018, 18(9): 4018107.
[3] YANG X L, LI Z W. Factor of safety of three-dimensional stepped slopes[J]. International Journal of Geomechanics, 2018, 18(6): 4018036.
[4] 赵尚毅, 郑颖人, 时卫民, 等. 用有限元强度折减法求边坡稳定安全系数[J].岩土工程学报, 2002(3):343.
[5] WILSON D W, ABBO A J, SLOAN S W, et al. Undrained stability of a circular tunnel where the shear strength increases linearly with depth[J]. Canadian Geotechnical Journal, 2011(9): 1328.
[6]ABBO A J,WILSON D W,SLOAN S W,et al.Undrained stability of wide rectangular tunnels[J].Computers and Geotechnics,2013(53):46.
[7]YAMAMOTO K,LYAMIN A V,WILSON D W,et al.Stability of a circular tunnel in cohesive-frictional soil subjected to surcharge loading[J].Computers and Geotechnics,2011(38):504.
[8]TSCHUCHNIGG F,SCHWEIGER H F,SLOAN S W.Slope stability analysis by means of finite element limit analysis and finite element strength reduction techniques.Part II:Back analyses of a case history[J].Computers and geotechnics,2015,70:178.
[9]QIAN Z G,LI A J,MERIFIELD R S,et al.Slope stability charts for two-layered purely cohesive soils based on finite-element limit analysis methods[J].International Journal of Geomechanics,2014(3):6014022.
[10]KIM Y J,OH C K,MYUNG M S,et al.Fully plastic analyses for notched bars and plates using finite element limit analysis[J].Engineering Fracture Mechanics,2006,73(13):1849.
[11]XIAO Y,ZHAO M H,ZHAO H.Undrained stability of strip footing above voids in two-layered clays by finite element limit analysis[J].Computers and Geotechnics,2018(97):124.
[2] YANG X L, LI Z W. Comparison of factors of safety using a 3D failure mechanism with kinematic approach[J]. International Journal of Geomechanics, 2018, 18(9): 4018107.
[3] YANG X L, LI Z W. Factor of safety of three-dimensional stepped slopes[J]. International Journal of Geomechanics, 2018, 18(6): 4018036.
[4] 赵尚毅, 郑颖人, 时卫民, 等. 用有限元强度折减法求边坡稳定安全系数[J].岩土工程学报, 2002(3):343.
[5] WILSON D W, ABBO A J, SLOAN S W, et al. Undrained stability of a circular tunnel where the shear strength increases linearly with depth[J]. Canadian Geotechnical Journal, 2011(9): 1328.
[6]ABBO A J,WILSON D W,SLOAN S W,et al.Undrained stability of wide rectangular tunnels[J].Computers and Geotechnics,2013(53):46.
[7]YAMAMOTO K,LYAMIN A V,WILSON D W,et al.Stability of a circular tunnel in cohesive-frictional soil subjected to surcharge loading[J].Computers and Geotechnics,2011(38):504.
[8]TSCHUCHNIGG F,SCHWEIGER H F,SLOAN S W.Slope stability analysis by means of finite element limit analysis and finite element strength reduction techniques.Part II:Back analyses of a case history[J].Computers and geotechnics,2015,70:178.
[9]QIAN Z G,LI A J,MERIFIELD R S,et al.Slope stability charts for two-layered purely cohesive soils based on finite-element limit analysis methods[J].International Journal of Geomechanics,2014(3):6014022.
[10]KIM Y J,OH C K,MYUNG M S,et al.Fully plastic analyses for notched bars and plates using finite element limit analysis[J].Engineering Fracture Mechanics,2006,73(13):1849.
[11]XIAO Y,ZHAO M H,ZHAO H.Undrained stability of strip footing above voids in two-layered clays by finite element limit analysis[J].Computers and Geotechnics,2018(97):124.