A new slope stability evaluation method is proposed to evaluate the stability of excavation slope accurately and rapidly based on a small amount of indoor and field tests during initial survey. On the basis of the upper bound theorem of limit analysis, a two-dimensional limit analysis expression for the stability of excavation slope under undrained condition is derived. Tables and diagrams of stability coefficient and the variation of sliding surface under undrained condition are obtained and analyzed according to the calculation result. Finally a method of evaluating the stability of excavation slope under undrained condition is established. Results indicate that the relations between stability coefficient and undrained strength ratio, sliding surface and controlling depth can be quantified by upper bound theorem of limit analysis, which is of definite physical meaning and high calculation precision. Compared with limit equilibrium method and numerical analysis method, limit analysis method is more suitable for the evaluation of excavation slope’s stability.
Key words
excavation slope /
limit analysis /
stability coefficient of slope /
undrained shear strength /
sliding surface /
limit depth
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References
[1] 陈祖煜. 土质边坡稳定分析原理·方法·程序[M]. 北京:中国水利水电出版社, 2003.
[2] 赵明阶, 何光春, 王多垠. 边坡工程处治技术[M].北京:人民交通出版社, 2003.
[3] YAMAGISHI H. Recent Landslides in Western Hokkaido, Japan[J]. Pure and Applied Geophysics, 2000,157(6-8): 1115-1134.
[4] DRUCKER D C, PRAGER W J. Soil Mechanics and Plastic Analysis or Limit Design[J]. Quarterly of Applied Mathematics, 1952, 10(2):157-65.
[5] CHEN W F, GIGER M W. Limit Analysis of Stability of Slopes[J]. Journal of the Soil Mechanics and Foundations Division, 1971, 97(1): 19-26.
[6] CHEN W F. Limit Analysis and Soil Plasticity[M]. Rotterdam, The Netherlands: Elsevier, 1975.
[7] 陈祖煜. 边坡稳定分析的塑性力学上限解[C]∥中国土木工程学会第七届土力学及基础工程学术会议论文集. 北京: 中国建筑工业出版社,1994.
[8] 弥宏亮, 陈祖煜. 边坡稳定三维极限分析方法及工程应用[J]. 岩土力学, 2002, 23(5):649-653.
[9] 陈祖煜. 土力学经典问题的极限分析上下限解[J]. 岩土工程学报, 2002, 24(1): 1-11.
[10] GAO Y F, ZHANG F, LEI G H, et al . An Extended Limit Analysis of Three-dimensional Slope Stability[J].Geotechnique,2012, 63(6):518-524.
[11] GAO Y, ZHANG F, LEI G H, et al . Stability Charts for 3D Failures of Homogeneous Slopes[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2012, 139(9): 1528-1538.
[12] MICHALOWSKI R L. Three-dimensional Analysis of Locally Loaded Slopes[J]. Geotechnique, 1989, 39(1): 27-38.
[13] MICHALOWSKI R L, DRESCHER A. Three-dimensional Stability of Slopes and Excavations[J]. Geotechnique, 2009, 59(10): 839-850.
[14] LYSMER J. Limit Analysis of Plane Problems in Soil Mechanics[J]. Journal of Soil Mechanics & Foundations Division, 1970,96:1311-1334.
[15] SLOAN S W. Lower Bound Limit Analysis Using Finite Elements and Linear Programming[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1988, 12(1): 61-77.
[16] SLOAN S W. Upper Bound Limit Analysis Using Finite Elements and Linear Programming[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1989, 13(3): 263-282.
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