基于有限元应力的三维边坡稳定性分析

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摘要在有限元应力分析的基础上，采用剪应力定义的安全系数来评价边坡稳定性也是较常用的一种分析方法。针对简单三维边坡体，将该方法得到的数值解与其推导出来的解析解进行对比分析，结果表明，材料泊松比对滑体的应力分布及安全系数计算均有一定的影响，当泊松比逐渐接近于0.5时，采用该方法得到的简单边坡体的数值解与解析解完全一致。最后将该方法应用到具体岩质高边坡工程实例中，并与有限元强度折减法进行对比分析，结果显示2种方法的计算结果具有较好的可比性。

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关键词 ：边坡工程, 边坡稳定, 有限元应力, 强度折减法, 解析解

Abstract：It is a frequently used method in three-dimensional(3D) slope stability analysis based on the stress field of slope obtained by finite element computation. The factor of safety is defined as the ratio of resisting force and driving force along the specified slip surface. The analytical solution of 3D simple slope is compared with the numerical solutions obtained with this proposed method. The calculating results show that the Poisson?s ratio of material has some influence on the factors of safety obtained with this method and stress distribution. The factor of safety calculated with this method is in full agreement with the analytic solution when the Poisson?s ratio is close to 0.5. Finally，this method is applied to a high rock slope. The calculating results are well comparable with the factors of safety obtained by strength reduction technique.

Key words： slope engineering slope stability finite element stress strength reduction technique analytical solution

收稿日期: 2012-07-18

引用本文:

郭明伟，李春光，王水林. 基于有限元应力的三维边坡稳定性分析[J]. 岩石力学与工程学报, 2012, 31(12): 2494-2500.
GUO Mingwei，LI Chunguang，WANG Shuilin. THREE-DIMENSIONAL SLOPE STABILITY ANALYSIS BASED ON FINITE ELEMENT STRESS. , 2012, 31(12): 2494-2500.

链接本文:

http://www.rockmech.org/CN/Y2012/V31/I12/2494

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