GENERALIZED SLICE METHOD FOR SLOPE STABILITY ANALYSIS
GENERALIZED SLICE METHOD FOR SLOPE STABILITY ANALYSIS
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边坡稳定性分析的广义切片法
DOI：
10.3208/sandf1972.30.2_1
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发表时间：
1990
影响因子：
3.7
通讯作者：
R. Yatabe
中科院分区：
文献类型：
--
作者：
M. Enoki;N. Yagi;R. Yatabe
已有的边坡稳定性分析条分法存在两个缺点：条间力的假设和计算技术复杂。本文提出了一种直接给出条分力平衡方程并定义条间安全系数的扩展楔体法。在数学考虑之后澄清了以下内容。若将确定沿着主滑面安全系数的问题视为带约束的优化问题，则即使变量数超过方程数，也能求得解。这意味着不仅可以通过滑动面的几何形状来优化安全系数，还可以通过对条间力的假设来优化安全系数。力的平衡方程足以在没有力矩平衡方程的情况下获得和最小化安全系数。安全系数Fsmin（假设层间平面上没有切向力）和安全系数Fsmax（假设层间平面刚好失效）分别是安全系数的最小和最大限值。Fsmin和Fsmax与假定沿着主滑动面的安全系数等于沿沿着条间面的安全系数的Fsmed一起，是从条间面的受力状态评价其它条分法的标准。通过比较发现，Fellenius法和简化Janbu法给出的安全系数最低，接近Fsmin，Morgenstern-Price法给出的安全系数高于Fsmed。
Many slice methods already proposed for slope stability analysis have two weak points, assumption on interslice forces and complicated calculation technique. In this paper, an extended wedge method in which equilibrium equations of forces acting on slices are directly presented and safety factors on interslice planes are defined, is proposed. Followings are clarified after mathematical consideration. If the problem to obtain safety factor along main slip surface is considered as optimization problem with constraints, the solution can be obtained even if the number of variables exceeds the number of equations. This means that the safety factor can be optimized not only by geometry of slip surface but also by assumption on interslice forces. The equilibrium equations of forces are sufficient to obtain and minimize safety factor without equilibrium equations of moment. Safety factor, Fsmin, which assumes no tangential force on interslice planes, and safety factor Fsmax, which assumes that interslice planes are just failing, are minimum and maximum limit of safety factors, respectively. Together with Fsmed which assumes that safety factor along main slip surface is equal to ones along interslice planes, Fsmin and Fsmax are the standard for evaluation of other slice methods from the state of forces acting on interslice planes. Then, some comparisons suggest that Fellenius method and simplified Janbu method give the lowest safety factors which are nealy equal to Fsmin and that Morgenstern-Price method gives the safety factor higher than Fsmed.