基于有限元极限上限法的含软弱夹层边坡稳定性分析
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摘要
由于软弱夹层的存在通常会使得边坡更易发生失稳破坏,通过引入考虑强度折减法的有限元极限分析上限法,构建含软弱夹层边坡稳定性分析的非线性规划模型,并采用可行弧内点算法与网格自适应方法进行优化求解,获得不同软弱夹层的厚度、倾角、深度以及软弱夹层与周围土体的相对强度影响下的边坡安全系数及破坏模式。研究结果表明:软弱夹层的厚度、倾角、深度以及相对强度对边坡安全系数及滑裂面位置的影响显著;但当软弱夹层的深度和相对强度增大到一定值时,边坡稳定性不再受其影响。本文结果与已有文献的结果吻合较好。
The existence of weak interlayers usually makes the slope more prone to instability.Based on this,by introducing the finite element upper bound limit analysis method considering the strength reduction technique,the nonlinear programming model for the stability analysis of slopes with a weak interlayer was constructed.And a feasible arc interior point algorithm,combined with adaptive mesh method,was adopted for optimization.The upper-bound solutions of safety factors and failure modes of slopes with different weak interlayer thicknesses,angles and depths and strength ratios of the weak interlayer and soil were obtained.The results show that the thickness,angle,depth and relative strength of the weak interlayer have significant influence on the safety factor of slope and the critical sliding surface,but when the depth and relative strength of the weak interlayer are increased to a certain value,the stability of the slope is no longer affected by it.The results in this paper are in good agreement with those in the literature.
The existence of weak interlayers usually makes the slope more prone to instability.Based on this,by introducing the finite element upper bound limit analysis method considering the strength reduction technique,the nonlinear programming model for the stability analysis of slopes with a weak interlayer was constructed.And a feasible arc interior point algorithm,combined with adaptive mesh method,was adopted for optimization.The upper-bound solutions of safety factors and failure modes of slopes with different weak interlayer thicknesses,angles and depths and strength ratios of the weak interlayer and soil were obtained.The results show that the thickness,angle,depth and relative strength of the weak interlayer have significant influence on the safety factor of slope and the critical sliding surface,but when the depth and relative strength of the weak interlayer are increased to a certain value,the stability of the slope is no longer affected by it.The results in this paper are in good agreement with those in the literature.
引文
[1]闫汝华,樊卫花.马家岩水库坝基软弱夹层剪切特征及强度[J].岩石力学与工程学报,2004,23(11):3761-3764.YAN Ruhua,FAN Weihua.Shear properties and strength of weak intercalated layers in dam foundation of Majiayan reservoir[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(22):3761-3764.
[2]郭洪江,张霖,赵文恺.成昆线林场滑坡病害治理工程[J].西南交通大学学报,1996,31(6):685-690.GUO Hongjiang,ZHANG Lin,ZHAO Wenkai.The reinforcement and renovation of Linchang landslide along Chengdu Kunming railway[J].Journal of Southwest Jiaotong University,1996,31(6):685-690.
[3]CHAI J,ZHANG Y,BO L I,et al.The influences of weak interlayer on rocky slope stability under the condition of excavation[J].Engineering Construction,2017,49(2):1-6.
[4]张社荣,谭尧升,王超,等.多层软弱夹层边坡岩体破坏机制与稳定性研究[J].岩土力学,2014,35(6):1695-1702.ZHANG Sherong,TAN Yaosheng,WANG Chao,et al.Research on deformation failure mechanism and stability of slope rock mass containing multi-weak interlayers[J].Rock and Soil Mechanics,2014,35(6):1695-1702.
[5]宋子岭,杨添,赵立春.含多层软弱夹层的顺向岩质边坡稳定性评价方法对比分析[J].中国地质灾害与防治学报,2016,27(2):20-25.SONG Ziling,YANG Tian,ZHAO Lichun,et al.Applicatyion of combination algorithm in stability analysis of rock slope with contains multilayer weak bedrock layers[J].Chinese Journal of Geological Hazard&Control,2016:27(2):20-25.
[6]许宝田,钱七虎,阎长虹,等.多层软弱夹层边坡岩体稳定性及加固分析[J].岩石力学与工程学报,2009,28(增2):3959-3964.XU Baotian,QIAN Qihu,YAN Changhong,et al.Stability and strengthening analyses of slope rock mass containing multi-weak interlayers[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(Suppl 2):3959-3964.
[7]CHEN W F.Limit analysis and soil plasticity[M].Amsterdam:Elsevier ASCE,1975.
[8]刘小丽,周德培.有软弱夹层岩体边坡的稳定性评价[J].西南交通大学学报,2002,37(4):382-386.LIU Xiaoli,ZHOU Depei.Stability evaluation of rock mass slope with weak intercalated layers[J].Journal of Southwest Jiaotong University,2002,37(4):382-386.
[9]黄茂松,王浩然,刘怡林.基于转动-平动组合破坏机构的含软弱夹层土坡降雨入渗稳定上限分析[J].岩土工程学报,2012,34(9):1561-1567.HUANG Maosong,WANG Haoran,LIU Yilin.Rotationtranslation combined mechanism for stability analysis of slopes with weak interlayer under rainfall condition[J].Chinese Journal of Geotechnical Engineering,2012,34(9):1561-1567.
[10]HUANG Maosong,WANG Haoran,SHENG Daichao,et al.Rotational-translational mechanism for the upper bound stability analysis of slopes with weak interlayer[J].Computers and Geotechnics,2013(53):133-141.
[11]ZHAO Lianheng,LI Liang,YANG Feng,et al.Upper bound analysis of slope stability with nonlinear failure criterion based on strength reduction technique[J].Journal of Central South University of Technology,2010,17(4):836-844.
[12]赵志刚,赵炼恒,李亮,等.水位升降对顺层岩坡稳定性影响的上限分析方法[J].铁道科学与工程学报,2012,9(3):51-57.ZHAO Zhigang,ZHAO Lianheng,LI Liang,et al.Upper bound stability analysis for parallel bedding rock slope subjected to water level fluctuations[J].Journal of Railway Science and Engineering,2012,9(3):51-57.
[13]汤祖平,李亮,赵炼恒,等.含软弱夹层边坡稳定性的极限分析上限解析[J].铁道科学与工程学报,2014,11(2):60-64.TANG Zuping,LI Liang,ZHAO Lianheng,et al.Stability analysis of slopes with weak interlayer based on upper bound limit analysis[J].Journal of Railway Science&Engineering,2014,11(2):60-64.
[14]王均星,王汉辉,张优秀,等.非均质土坡的有限元塑性极限分析[J].岩土力学,2004,25(3):415-421.WANG Junxing,WANG Hanhui,ZHANG Youxiu,et al.Stability analysis of soil slope by finite element method with plastic limit upper bound[J].Chinese Journal of Rock Mechanics&Engineering,2004,25(3):415-421.
[15]赵明华,张锐.有限元上限分析网格自适应方法及其工程应用[J].岩土工程学报,2016,38(3):537-545.ZHAO Minghua,ZHANG Rui.Adaptive mesh refinement of upper bound finite element method and its applications in geotechnical engineering[J].Chinese Journal of Geotechnical Engineering,2016,38(3):537-545.
[16]Lyamin A V,Sloan S W.Upper bound limit analysis using linear finite elements and nonlinear programming[J].International Journal for Numerical and Analytical Methods in Geomechanics,2002,26(2):181-216.
[17]Thompson J F,Soni B K,Weatherill N P.Hand book of grid generation[M].Boca Raton London New York Washington D C:CCR Press,1998.
[18]Sloan S W.Geotechnical stability analysis[J].Géotechnique,2013,63(7):531-572.
[19]赵明华,张锐,雷勇.基于可行弧内点算法的上限有限单元法优化求解[J].岩土工程学报,2014,36(4):604-611.ZHAO Minghua,ZHANG Rui,LEI Yong.Optimization of upper bound finite element method based on feasible arc interior point algorithm[J].Chinese Journal of Geotechnical Engineering,2014,36(4):604-611.
[20]Abbo A J,Sloan S W.A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion[J].Computers and Structures,1989,36:19-38.
[2]郭洪江,张霖,赵文恺.成昆线林场滑坡病害治理工程[J].西南交通大学学报,1996,31(6):685-690.GUO Hongjiang,ZHANG Lin,ZHAO Wenkai.The reinforcement and renovation of Linchang landslide along Chengdu Kunming railway[J].Journal of Southwest Jiaotong University,1996,31(6):685-690.
[3]CHAI J,ZHANG Y,BO L I,et al.The influences of weak interlayer on rocky slope stability under the condition of excavation[J].Engineering Construction,2017,49(2):1-6.
[4]张社荣,谭尧升,王超,等.多层软弱夹层边坡岩体破坏机制与稳定性研究[J].岩土力学,2014,35(6):1695-1702.ZHANG Sherong,TAN Yaosheng,WANG Chao,et al.Research on deformation failure mechanism and stability of slope rock mass containing multi-weak interlayers[J].Rock and Soil Mechanics,2014,35(6):1695-1702.
[5]宋子岭,杨添,赵立春.含多层软弱夹层的顺向岩质边坡稳定性评价方法对比分析[J].中国地质灾害与防治学报,2016,27(2):20-25.SONG Ziling,YANG Tian,ZHAO Lichun,et al.Applicatyion of combination algorithm in stability analysis of rock slope with contains multilayer weak bedrock layers[J].Chinese Journal of Geological Hazard&Control,2016:27(2):20-25.
[6]许宝田,钱七虎,阎长虹,等.多层软弱夹层边坡岩体稳定性及加固分析[J].岩石力学与工程学报,2009,28(增2):3959-3964.XU Baotian,QIAN Qihu,YAN Changhong,et al.Stability and strengthening analyses of slope rock mass containing multi-weak interlayers[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(Suppl 2):3959-3964.
[7]CHEN W F.Limit analysis and soil plasticity[M].Amsterdam:Elsevier ASCE,1975.
[8]刘小丽,周德培.有软弱夹层岩体边坡的稳定性评价[J].西南交通大学学报,2002,37(4):382-386.LIU Xiaoli,ZHOU Depei.Stability evaluation of rock mass slope with weak intercalated layers[J].Journal of Southwest Jiaotong University,2002,37(4):382-386.
[9]黄茂松,王浩然,刘怡林.基于转动-平动组合破坏机构的含软弱夹层土坡降雨入渗稳定上限分析[J].岩土工程学报,2012,34(9):1561-1567.HUANG Maosong,WANG Haoran,LIU Yilin.Rotationtranslation combined mechanism for stability analysis of slopes with weak interlayer under rainfall condition[J].Chinese Journal of Geotechnical Engineering,2012,34(9):1561-1567.
[10]HUANG Maosong,WANG Haoran,SHENG Daichao,et al.Rotational-translational mechanism for the upper bound stability analysis of slopes with weak interlayer[J].Computers and Geotechnics,2013(53):133-141.
[11]ZHAO Lianheng,LI Liang,YANG Feng,et al.Upper bound analysis of slope stability with nonlinear failure criterion based on strength reduction technique[J].Journal of Central South University of Technology,2010,17(4):836-844.
[12]赵志刚,赵炼恒,李亮,等.水位升降对顺层岩坡稳定性影响的上限分析方法[J].铁道科学与工程学报,2012,9(3):51-57.ZHAO Zhigang,ZHAO Lianheng,LI Liang,et al.Upper bound stability analysis for parallel bedding rock slope subjected to water level fluctuations[J].Journal of Railway Science and Engineering,2012,9(3):51-57.
[13]汤祖平,李亮,赵炼恒,等.含软弱夹层边坡稳定性的极限分析上限解析[J].铁道科学与工程学报,2014,11(2):60-64.TANG Zuping,LI Liang,ZHAO Lianheng,et al.Stability analysis of slopes with weak interlayer based on upper bound limit analysis[J].Journal of Railway Science&Engineering,2014,11(2):60-64.
[14]王均星,王汉辉,张优秀,等.非均质土坡的有限元塑性极限分析[J].岩土力学,2004,25(3):415-421.WANG Junxing,WANG Hanhui,ZHANG Youxiu,et al.Stability analysis of soil slope by finite element method with plastic limit upper bound[J].Chinese Journal of Rock Mechanics&Engineering,2004,25(3):415-421.
[15]赵明华,张锐.有限元上限分析网格自适应方法及其工程应用[J].岩土工程学报,2016,38(3):537-545.ZHAO Minghua,ZHANG Rui.Adaptive mesh refinement of upper bound finite element method and its applications in geotechnical engineering[J].Chinese Journal of Geotechnical Engineering,2016,38(3):537-545.
[16]Lyamin A V,Sloan S W.Upper bound limit analysis using linear finite elements and nonlinear programming[J].International Journal for Numerical and Analytical Methods in Geomechanics,2002,26(2):181-216.
[17]Thompson J F,Soni B K,Weatherill N P.Hand book of grid generation[M].Boca Raton London New York Washington D C:CCR Press,1998.
[18]Sloan S W.Geotechnical stability analysis[J].Géotechnique,2013,63(7):531-572.
[19]赵明华,张锐,雷勇.基于可行弧内点算法的上限有限单元法优化求解[J].岩土工程学报,2014,36(4):604-611.ZHAO Minghua,ZHANG Rui,LEI Yong.Optimization of upper bound finite element method based on feasible arc interior point algorithm[J].Chinese Journal of Geotechnical Engineering,2014,36(4):604-611.
[20]Abbo A J,Sloan S W.A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion[J].Computers and Structures,1989,36:19-38.