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Optimistic Method for Searching the Spatial Critical Slip Surface of Earth Slopes(PDF)

《地球科学与环境学报》[ISSN:1672-6561/CN:61-1423/P]

Issue:
2011年第03期
Page:
300-305
Research Field:
质工程
Publishing date:

Info

Title:
Optimistic Method for Searching the Spatial Critical Slip Surface of Earth Slopes
Author(s):
LI Tong-lu; WANG Liu-hua; ZHANG Chang-liang; LI Ping
School of Geological Engineering and Surveying, Chang' an University, Xi'an 710054, Shaanxi, China
Keywords:
slope;  critical slip surface;  three dimensions;  rotational ellipse;  gold block optimization method;  factor of safety
PACS:
P642
DOI:
-
Abstract:
Generally, two-dimensional uniform earth slope is considered as a plane strain problem and the slip surface is supposed as a circle arc. Here the coordinates of the center and the radius of the slip circle are presented by three abscissas of top-point, toe-point(at which the slip circle intersects with the surface line)and point of intersection between the x-axis and the line being tangential to the circle at the top-point. The golden block optimization method is applied to search the minimum factor of safety and the corresponding slip circle with the three free variables of the abscissas as given proper domains for them, respectively. Furthermore, three-dimensional slip surface is supposed as a rotational ellipse whose vertical trace is a circle, which is equivalent to the two-dimensional slip circle. After giving series of horizontal radius of the ellipse, the minimum factor of safety and the corresponding ellipse at a series of given horizontal radius are calculated with the method mentioned above in two-dimensional slip surface. The results suggest that three-dimensional factor of safety has a limit other than a minimum. For a slope lengthen laterally enough longer, the factor of safety of three-dimensional approaches that of two-dimensional; as the horizontal radius is more than 3 times of vertical radius for the slip ellipse, the slope stability can be simplified as two-dimensional problem. But for a slope with finite length, such as limited by topography, ground water, etc., the three-dimensional effect is prominent, three-dimensional analysis should be applied with consideration of boundary conditions.

References:

[1] Taylor D W.Stability of Earth Dams[J].Journal of Boston Society of Civil Engineering,1937,24(3):197-246.
[2] Bishop A W.The Use of Slip Circle in the Stability Analysis of Slopes[J].Geotechnique,1954,5(1):7-17.
[3] Fellenius W.Calculation of the Stability of Earth Dams[C]∥United States Government Printing Office.Transaction of the 2nd Congress for Large Dams. Washington DC:United States Government Printing Office,1936:445-462.
[4] 陈希哲.土力学地基基础[M].第2版.北京:清华大学出版社,1989.
[5] 郑 涛,张玉灯,毛新生.基于Geoslope 软件的土质边坡稳定性分析[J].水利与建筑工程学报,2008,6(1):6-8.
[6] 王 胜,李云华,苏 谦.基于Geoslope的高陡路基稳定性分析[J].路基工程,2008,20(5):138-140.
[7] 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.
[8] 张常亮,李同录,李 萍.三维极限平衡法通用形式的建立及应用[J].地球科学与环境学报,2010,32(1):98-105.
[9] Hungr O.An Extension of Bishop's Simplified Method of Slope Stability Analysis to Three Dimensions[J].Geotechnique,1987,37(1):113-117.
[10] Zhang X.Three-dimensional Stability Analysis of Concave Slopes in Plane View[J].Journal of Geotechnical Engineering,1988,114(6):658-671.
[11] 李同录,王艳霞,邓宏科.一种改进的三维边坡稳定性分析方法[J].岩土工程学报,2003,25(5):611-614.

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Last Update: 2011-09-20