To analyze the stability of reinforced slopes, on the basis of the global analysis of slope stability, a new procedure is proposed to compute the factor of safety of slopes reinforced with piles. By taking the whole sliding body, instead of individual slices, as the analysis object, three equilibrium equations are formulated according to the moment equilibrium conditions. But in traditional method, we establish two force equilibrium equations(horizontal direction and vertical direction) and one moment equilibrium equation at a given point. By using the new method, we can obtain unique real number solution of the equation and positive safety factor. This method is not only suitable for slopes with slide surfaces of different shapes, but also possesses excellent numerical properties with a very large scope of convergence and a very rapid convergent rate.Moreover, it can be easily extended from two-dimension to three-dimension. Finaly, two examples are given to prove the effectiveness of this method.
Key words
slope stability /
anti-sliding pile /
limit equilibrium /
global analysis /
numerical feature
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References
[1] ITO T, MATSUI T. Design Method for the Stabilizing Piles against Landslide—One Row of Piles[J]. Soils and Foundation, 1981, 21(1): 21-37.
[2] ITO T, MATSUI T. Methods to Estimate Lateral Force Acting on Stabilizing Piles[J]. Soils and Foundation, 1975, 15(4) : 43-59.
[3] ZHENG H, THAM L G, LIU D F. On Two Definitions of the Factor of Safety Commonly Used in Finite Element Slope Stability Analysis[J]. Computers and Geotechnics, 2006, 33(3): 188-195.
[4] LEE C Y, HULL T S, POULOS H G. Simplified Pile-slope Stability Analysis[J]. Computers and Geotechnics, 1995, 17(1): 1-16.
[5] HASSIOTIS S, CHAMEAU J L, GUNARATNE M. Design Method for Stabilization of Slopes with Piles[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1997, 123(4): 314-323.
[6] AUSILIO E, CONTE E, DENTE G. Stability Analysis of Slopes with Piles[J].Computers and Geotechnics, 2001, 28:591-611.
[7] NIAN T K, CHEN G Q, LUAN M T. Limit Analysis of the Stability of Slopes Reinforced with Piles against Landslide in Nonhomogeneous and Anisotropic Soils[J].Canadian Geotechnical Journal,2008,45(8): 1092-1103.
[8] LI X, HE S, WANG C. Stability Analysis of Slopes Reinforced with Piles Using Limit Analysis Method [C]∥Advances in Earth Structures: Geo-Shanghai International Conference 2006. ASCE. Shanghai, China, June 6-8, 2006: 105-112.
[9] ZENG San-ping, LIANG R Y. Stability Analysis of Drilled Shafts Reinforced Slope[J]. Soils and Foundations, 2002, 42(2): 93-102.
[10]YAMIN M, LIANG R Y. Limiting Equilibrium Method for Slope/drilled Shaft System[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2010, 34(10): 1063-1075.
[11]LIANG R Y, JOORABCHI A E, LIN L. Analysis and Design Method for Slope Stabilization Using a Row of Drilled Shafts[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2014, 140(5):1-12.
[12]张友良, 冯夏庭, 范建海,等.抗滑桩与滑坡体相互作用的研究[J]. 岩石力学与工程学报,2002,21(6):839-842.
[13]邹广电, 陈永平. 抗滑桩的极限阻力及其整体设计[J].水利学报, 2003,(6):22-29.
[14]ZHENG H, THAM L G. Improved Bell’s Method for the Stability Analysis of Slopes[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2009, 33(14): 1673-1689.
[15]ZHENG H, ZHOU C B. Global Analysis on Slope Stability and its Engineering Application[J]. Science in China Series E, 2009, 52(2): 507-512.
[16]熊 峰,李章政,贾正甫,等. 结构设计原理[M].北京:科学出版社,2002: 123-134.
[17]陈祖煜. 土质边坡稳定分析[M].北京:中国水利水电出版社,2003: 117-119.
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