基于上限定理的边坡潜在破裂面确定方法与稳定性判识研究
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摘要
边坡潜在破裂面的确定与稳定性判识一直是岩土工程界研究的热点问题。将边坡潜在破裂面看成是由若干段组合而成的复合破裂面,并沿各段将边坡垂直条分为多块体,在假设边坡岩土体服从摩尔-库仑屈服准则条件下,根据极限分析上限定理,分别计算各块体外功率与内能耗散,并建立边坡稳定系数的多元函数。利用数学优化方法给出边坡稳定系数的最优解,可以方便地给出边坡潜在破裂面形状及其对应的边坡稳定系数。通过算例分析并与前人研究成果比较,结果表明:理论方法是合理有效的,可以用于边坡潜在破裂面的确定与稳定性判识。
The stability discriminant of slopes and the position determination of potential sliding surfaces are always the research hot spots in geotechnical engineering.According to the upper bound method,and assuming the slope material obeys Mohr-Coulomn criterion,the internal and external works are calculated respectively by dividing slope body into blocks with regarding the potential sliding surface as a group of several sectional planes.Then the multivariate function to calculation critical height of slope is established and optimized by mathematical method,which is determined to the critical height and sliding surface shape.Through the example analysis and comparison with the previous research,the results show that the method in this paper is reasonable and effective,and can be used to determine the potential sliding surface and discriminate slope stability.
The stability discriminant of slopes and the position determination of potential sliding surfaces are always the research hot spots in geotechnical engineering.According to the upper bound method,and assuming the slope material obeys Mohr-Coulomn criterion,the internal and external works are calculated respectively by dividing slope body into blocks with regarding the potential sliding surface as a group of several sectional planes.Then the multivariate function to calculation critical height of slope is established and optimized by mathematical method,which is determined to the critical height and sliding surface shape.Through the example analysis and comparison with the previous research,the results show that the method in this paper is reasonable and effective,and can be used to determine the potential sliding surface and discriminate slope stability.
引文
[1]李同录,邓宏科,李萍,等.搜索简单土坡潜在滑动面的一种新方法[J].长安大学学报(地球科学版),2003,25(3):56-59.LI Tong-lu,DENG Hong-ke,LI Ping,et al.A new method for quick searching potential sliding surface of the simple earth slope[J].Journal of Chang’an University(Earth Science Edition),2003,25(3):56-59.
[2]朱以文,吴春秋,蔡元奇.基于滑移线场理论的边坡滑裂面确定方法[J].岩石力学与工程学报,2005,24(15):2609-2616.ZHU Yi-wen,WU Chun-qiu,CHAI Yuan-qi.Determination of slip surface in slope based on theory of slip line field[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(15):2609-2616.
[3]李忠,朱彦鹏.多阶边坡滑移面搜索模型及稳定性分析[J].岩石力学与工程学报,2006,25(1):2841-2847.LI Zhong,ZHU Yan-peng.Search model of slip surface and stability analysis of multistep slope[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(1):2841-2847.
[4]郑颖人,叶林海,黄润秋.地震边坡破坏机制及其破裂面的分析探讨[J].岩石力学与工程学报,2009,28(8):1714-1723.ZHENG Ying-ren,YE Lin-hai,HUANG Run-qiu.Analysis and discussion of failure mechanism and fracture surface of slope under earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(8):1714-1723.
[5]孙冠华,郑宏,李春光.基于等效塑性应变的三维边坡滑面搜索[J].岩土力学,2008,29(5):1159-1163.SUN Guan-hua,ZHENG Hong,LI Chun-guang.Searching critical slip surface of slopes based on equivalent plastic strain[J].Rock and Soil Mechanics,2008,29(5):1159-1163.
[6]孙冠华,郑宏,李春光.基于等效塑性应变的边坡滑面搜索[J].岩土力学,2010,31(2):627-632.SUN Guan-hua,ZHENG Hong,LI Chun-guang.Searching critical slip surface of three-dimensional slopes based on equivalent plastic strain[J].Rock and Soil Mechanics,2010,31(2):627-632.
[7]郭明伟,李春光,葛修润,等.基于矢量和分析方法的边坡滑面搜索[J].岩土力学,2009,30(6):l175-1781.GUO Ming-wei,LI Chun-guang,GE Xiu-run,et al.Searching potential slip surface of slopes based on the vector sum analysis method[J].Rock and Soil Mechanics,2009,30(6):l175-1781.
[8]RADOSLAW L MICHALOWSKI.Limit Analysis and stability charts for 3D slope failures[J].Journal of Geotechnical and Geoenvironmental Engineering,2010,136(4):583-593.
[9]BAKER R.Determination of the critical slip surface in slope stability computations[J].International Journal for Numerical and Analytical Methods in Geomechanics,1980,4(4):333-359.
[10]ZHU D Y.A method for locating critical slip surfaces in slope stability analysis[J].Canadian Geotechnical Journal,2001,38(2):328-337.
[11]CHENG Y M,LIU H T WEI W B.Location of critical three-dimension non-spherical failure surface by NURBS functions and ellipsoid with applications to highway slopes[J].Computers and Geotechnics,2005,32(6):387-399.
[12]YANG Xiao-li,YIN Jian-hua.Slope stability analysis with nonlinear failure criterion[J].Journal of Engineering Mechanics,2004,130(3):267-273.
[13]AUSILIO E,CONTE E,DENTE G.Stability analysis of slopes reinforced with piles[J].Computers and Geotechnics,2001,28(8):591-611.
[14]YU H S,SALGADO R,SLOAN S W,et al.Limit analysis versus limit equilibrium for slope stability[J].Journal of Geotechnical and Geo-environmental Engineering,1998,124(1):1-11.
[15]LING H I,LESHCHINSKY D,PERRY E B.Seismic design and performance of geosynthetic reinforced soil structures[J].Geotechnique,1997,47(5):933-952.
[16]RADOSLAW L MICHALOWSKI.Soil reinforcement for seismic design of geotechnical structures[J].Computers and Geotechnics,1998,23(1):1-17.
[17]YANG Xiao-Li.Seismic displacement of rock slopes with nonlinear Hoek-Brown failure criterion[J].International Journal of Rock Mechanics&Mining Sciences,2007,44(6):948-953.
[18]RADOSLAW L MICHALOWSKI.Slope stability analysis a kinematical approach[J].Geotechnique,1995,45(2):283-293.
[19]JIANG J C,BAKER R,YAMAGAMI T.The effect of strength envelope nonlinearity on slope stability calculations[J].Canadian Geotechnical Journal,2003,40(2):308-325.
[20]CHEN W F.Limit analysis and soil plasticity[M].Amsterdam:Elsevier,1975.
[2]朱以文,吴春秋,蔡元奇.基于滑移线场理论的边坡滑裂面确定方法[J].岩石力学与工程学报,2005,24(15):2609-2616.ZHU Yi-wen,WU Chun-qiu,CHAI Yuan-qi.Determination of slip surface in slope based on theory of slip line field[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(15):2609-2616.
[3]李忠,朱彦鹏.多阶边坡滑移面搜索模型及稳定性分析[J].岩石力学与工程学报,2006,25(1):2841-2847.LI Zhong,ZHU Yan-peng.Search model of slip surface and stability analysis of multistep slope[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(1):2841-2847.
[4]郑颖人,叶林海,黄润秋.地震边坡破坏机制及其破裂面的分析探讨[J].岩石力学与工程学报,2009,28(8):1714-1723.ZHENG Ying-ren,YE Lin-hai,HUANG Run-qiu.Analysis and discussion of failure mechanism and fracture surface of slope under earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(8):1714-1723.
[5]孙冠华,郑宏,李春光.基于等效塑性应变的三维边坡滑面搜索[J].岩土力学,2008,29(5):1159-1163.SUN Guan-hua,ZHENG Hong,LI Chun-guang.Searching critical slip surface of slopes based on equivalent plastic strain[J].Rock and Soil Mechanics,2008,29(5):1159-1163.
[6]孙冠华,郑宏,李春光.基于等效塑性应变的边坡滑面搜索[J].岩土力学,2010,31(2):627-632.SUN Guan-hua,ZHENG Hong,LI Chun-guang.Searching critical slip surface of three-dimensional slopes based on equivalent plastic strain[J].Rock and Soil Mechanics,2010,31(2):627-632.
[7]郭明伟,李春光,葛修润,等.基于矢量和分析方法的边坡滑面搜索[J].岩土力学,2009,30(6):l175-1781.GUO Ming-wei,LI Chun-guang,GE Xiu-run,et al.Searching potential slip surface of slopes based on the vector sum analysis method[J].Rock and Soil Mechanics,2009,30(6):l175-1781.
[8]RADOSLAW L MICHALOWSKI.Limit Analysis and stability charts for 3D slope failures[J].Journal of Geotechnical and Geoenvironmental Engineering,2010,136(4):583-593.
[9]BAKER R.Determination of the critical slip surface in slope stability computations[J].International Journal for Numerical and Analytical Methods in Geomechanics,1980,4(4):333-359.
[10]ZHU D Y.A method for locating critical slip surfaces in slope stability analysis[J].Canadian Geotechnical Journal,2001,38(2):328-337.
[11]CHENG Y M,LIU H T WEI W B.Location of critical three-dimension non-spherical failure surface by NURBS functions and ellipsoid with applications to highway slopes[J].Computers and Geotechnics,2005,32(6):387-399.
[12]YANG Xiao-li,YIN Jian-hua.Slope stability analysis with nonlinear failure criterion[J].Journal of Engineering Mechanics,2004,130(3):267-273.
[13]AUSILIO E,CONTE E,DENTE G.Stability analysis of slopes reinforced with piles[J].Computers and Geotechnics,2001,28(8):591-611.
[14]YU H S,SALGADO R,SLOAN S W,et al.Limit analysis versus limit equilibrium for slope stability[J].Journal of Geotechnical and Geo-environmental Engineering,1998,124(1):1-11.
[15]LING H I,LESHCHINSKY D,PERRY E B.Seismic design and performance of geosynthetic reinforced soil structures[J].Geotechnique,1997,47(5):933-952.
[16]RADOSLAW L MICHALOWSKI.Soil reinforcement for seismic design of geotechnical structures[J].Computers and Geotechnics,1998,23(1):1-17.
[17]YANG Xiao-Li.Seismic displacement of rock slopes with nonlinear Hoek-Brown failure criterion[J].International Journal of Rock Mechanics&Mining Sciences,2007,44(6):948-953.
[18]RADOSLAW L MICHALOWSKI.Slope stability analysis a kinematical approach[J].Geotechnique,1995,45(2):283-293.
[19]JIANG J C,BAKER R,YAMAGAMI T.The effect of strength envelope nonlinearity on slope stability calculations[J].Canadian Geotechnical Journal,2003,40(2):308-325.
[20]CHEN W F.Limit analysis and soil plasticity[M].Amsterdam:Elsevier,1975.
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