Rotation-translation combined mechanism for stability analysis of slopes with weak interlayer under rainfall condition
HUANG Mao-song1, 2, WANG Hao-ran1, 2, LIU Yi-lin3, 4
1. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China; 2. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 3. Research Institute of Highway, Ministry of Transport, Beijing 100088, China; 4. Key Laboratory of Road Construction & Material of Ministry of Transport, Beijing 100088, China
Abstract:Weak interlayer and rainfall have great effects on slope stability. The weak interlayer may change the failure mechanism and reduce the slope stability. The rainfall will make the slope more instable and may even induce weak interlayer formed in the slope. However, simple and rational evaluation methods for such a slope stability problem have not been proposed so far. In this paper, based on the upper bound limit analysis method, a new failure mechanism consisting of rigid blocks undergoing impending rotational or translational movements is proposed to study the slope stability under rainfall condition. Rainfall-induced change of pore water pressure in slopes is analyzed by means of the transient seepage finite element analysis. The saturation line and the soil strength after rainfall are then considered and incorporated into the limit analysis. The proposed rotation-translation combined mechanism is finally verified by comparisons with the elasto-plasticity finite element method. The comparisons show that the proposed mechanism improves the efficiency of the previously-developed rigid block mechanism to account for the presence of weak interlayer in the slopes and can be used as a simple evaluation method for the engineering design.
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 Mao-song, WANG Hao-ran, LIU Yi-lin. Rotation-translation combined mechanism for stability analysis of slopes with weak interlayer under rainfall condition. Chinese J. Geot. Eng., 2012, 34(9): 1561-1567.
[1] GRIFFITHS D V, LANE P A. Slope stability analysis by finite elements[J]. Géotechnique, 1999, 49(3): 387–403.[2] 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, 24(3): 343–346. (ZHAO Shang-yi, ZHENG Ying-ren, SHI Wei-min, et al. Analysis on safety factor of slope by strength reduction FEM[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(3): 343–346. (in Chinese))[3] CHENG Y M, LANSIVAARA L, WEI W B. Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods[J]. Computers and Geotechnics, 2007, 34:137–150.[4] 贾苍琴, 黄茂松, 王贵和. 非饱和非稳定渗流作用下土坡稳定分析的强度折减有限元方法[J]. 岩石力学与工程学报, 2007, 26(6): 1290–1296. (JIA Cang-qin, HUANG Mao-song, WANG Gui-he. Strength reduction FEM in stability analysis of soil slopes subjected to transient unsaturated seepage[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(6): 1290–1296. (in Chinese))[5] 陈祖煜, 弥宏亮, 汪小刚. 边坡稳定三维分析的极限平衡方法[J]. 岩土工程学报, 2001, 23(5): 525–529. (CHEN Zu-yu, MI Hong-liang, WANG Xiao-gang. A three-dimensional limit equilibrium method for slope stability analysis[J]. Chinese Journal of Geotechnical Engineering, 2001, 23(5): 525–529. (in Chinese))[6] 李兆平, 张 弥. 考虑降雨入渗影响的非饱和土边坡瞬态安全系数研究[J]. 土木工程学报, 2001, 34(5): 57–61. (LI Zhao-ping, ZHANG Mi. Effects of rain infiltration on transient safety of unsaturated soil slope[J]. China Civil Engineering Journal, 2001, 34(5): 57–61. (in Chinese))[7] ALKASAWNEH W, MALKAWI A H, NUSAIRAT J H, et al. A comparative study of various commercially available programs in slope stability analysis[J]. Computers and Geotechnics, 2008, 35: 428–435.[8] CHEN W F. Limit analysis and soil plasticity[M]. New York: Elsevier Scientific Publishing Company, 1975.[9] NIAN T K, CHEN G Q, LUAN M T, et al. Limit analysis of the stability of slopes reinforced with piles against landslide in non-homogeneous and anisotropic soil[J]. Journals of Geotechnical and Geoenvironmental Engineering, 2008, 45: 1092–1103.[10] ZHAO L H, LI L, YANG F, LUO Q, LIU X. Upper bound analysis of slope stability with nonlinear failure criterion based on strength reduction technique[J]. J Cent South Univ Technol, 2010, 17: 836–844.[11] DRUCKER D, PRAGER W, GREENBERG H. Extended limit design theorems for continuous media[J]. Quarterly of Applied Mathematics, 1952, 9(4): 381–391.[12] MICHALOWSKI R L. Slope stability analysis: a kinematical approah[J]. Géotechnique, 1995, 45(2): 283–293.