Upper bound limit analysis of stability of soils between unbaffled cantilever anti-slide piles
ZHANG Yong-xing1, 2, WANG Ming-min1, LIU Jie1, WANG Gui-lin1, 2
1. School of Civil Engineering, Chongqing University, Chongqing 400045, China; 2. Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, China
Abstract:The stability of the soils between unbaffled cantilever anti-slide piles should be considered during design. Based on model test results, a three-dimensional sliding surface model for the soils between cantilever anti-slide piles is established. The upper bound limit analysis method is used to obtain the maximum height of free face of the soils. The strength reduction method is combined with the upper bound limit analysis method to calculate the stability coefficient of the soils between piles. Both methods can be used to estimate the instability area and the volume of slumped soils. The maximum height of free face of the soils and the stability coefficient of the soils between piles calculated by the proposed method are compared with the experimental results, and the correctness of the proposed method is verified. Using the single variable method, the effects of the free face height h, free face width w, internal friction angle φ and cohesion c on the stability of the soils between piles are analyzed.
张永兴, 王明珉, 刘杰, 王桂林. 无挡板悬臂式抗滑桩桩间土体稳定性上限分析[J]. 岩土工程学报, 2014, 36(1): 118-125.
ZHANG Yong-xing, WANG Ming-min, LIU Jie, WANG Gui-lin. Upper bound limit analysis of stability of soils between unbaffled cantilever anti-slide piles. Chinese J. Geot. Eng., 2014, 36(1): 118-125.
[1] 张永兴. 边坡工程学[M]. 北京: 中国建筑工业出版社, 2008. (ZHANG Yong-xing. Slope engineering[M]. Beijing: China Architecture and Building Press, 2008. (in Chinese)) [2] 沈珠江. 桩的抗滑阻力和抗滑桩的极限设计[J]. 岩土工程学报, 1992, 14(1): 51-56. (SHEN Zhu-jiang. The ultimate resistance of anti-slide piles and limit design method of anti-slide piles[J]. Chinese Journal of Geotechnical Engineering, 1992, 14(1): 51-56. (in Chinese)) [3] CHEN C Y. Soil-structure interaction for landslide stabilizing piles[J]. Chinese Journal of Geotechnical Engineering, 2000, 22(6): 741-743. [4] 董 捷, 张永兴, 吴曙光, 等. 切方边坡悬臂桩桩间土稳定性研究[J]. 岩土力学, 2009, 30(12): 3881-3888. (DONG Jie, ZHANG Yong-xing, WU Shu-guang, et al. Study of stability of soil between adjacent cantilever piles in incised slope[J]. Rock and Soil Mechanics, 2009, 30(12): 3881-3888. (in Chinese)) [5] 杨 明, 姚令侃, 王广军. 桩间土拱效应离心模型试验及数值模拟研究[J]. 岩土力学, 2008, 29(3): 817-822. (YANG Ming, YAO Ling-kan, WANG Guang-jun. Study of centrifuge model tests and numericalsimulation on soil arching in space of piles[J]. Rock and Soil Mechanics, 2008, 29(3): 817-822. (in Chinese)) [6] CHEN W F. Limit analysis and soil plasticity[M]. Amsterdam (The Netherlands): Elsevier Science, 1975. [7] 吴世明, 张显杰, 陈龙珠. 土坡稳定的非线性极限分析[J]. 岩土工程学报, 1987, 9(6): 27-38. (WU Shi-ming, ZHANG Xian-jie, CHEN Long-zhu. Limit analysis of slope stability with non-linear failure criterion[J]. Chinese Journal of Geotechnical Engineering, 1987, 9(6): 27-38. (in Chinese)) [8] 郑颖人, 邓楚键, 王敬林. 基于非关联流动法则的滑移线场及上限法研究[J]. 中国工程科学, 2010, 12(8): 56-69. (ZHENG Ying-ren, DENG Chu-jian, WANG Jing-lin. The study of slip line field and upper bound method based on the non-associated flow rule[J]. Engineering Science, 2010, 12(8): 56-69. (in Chinese)) [9] AUSILIO E, CONTE E, DENTE G. Stability analysis of slopes reinforced with piles [J]. Computers and Geotechnics, 2011, 28: 591-611. [10] MICHALOWSKI R L. Three-dimensional analysis of locally loaded slopes[J]. Géotechnique, 1989, 39(1): 27-38. [11] SKRABL S, MACUH B. Upper-bound solutions of three- dimensional passive earth pressure[J]. Canadian Geotechnical Journal, 2005, 42: 1449-1460. [12] YANG X L. Upper-bound limit analysis of active earth pressure with different fracture surface and nonlinear yield criterion[J]. Theoretical and Applied Fracture Mechanics, 2007, 47: 46-56. [13] 董 捷, 张永兴, 黄治云. 合理间距条件悬臂式抗滑桩三维土拱效应试验研究[J]. 岩土工程学报, 2009, 31(12): 1874-1881. (DONG Jie, ZHANG Yong-xing, HUANG Zhi-yun. Experimental investigation on three-dimensional soil arching effect between adjacent cantilever anti-slide piles with rational spacing[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(12): 1874-1881. (in Chinese))