GENERALIZED LIMIT EQUILIBRIUM METHOD AND ITS RELATION TO SLIP LINE METHOD
GENERALIZED LIMIT EQUILIBRIUM METHOD AND ITS RELATION TO SLIP LINE METHOD
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广义极限平衡法及其与滑移线法的关系
DOI：
10.3208/sandf1972.31.2_1
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发表时间：
1991
影响因子：
3.7
通讯作者：
E. Ichimoto
中科院分区：
文献类型：
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作者：
Meiketsu ENOKl;NORlO YAGl;R. Yatabe;E. Ichimoto
本文通过数学和力学研究表明，极限平衡法（LEM）可以作为滑移线法（SLM）必要条件的一种求解方法，在Fs = 1，θ = 0的条件下，可以得到解，其中Fs为安全系数，θ为确定安全系数平面的倾角。其次，提出了广义LEM（GLEM），处理以下几点：（1）三角形或四边形块体可以处理;（2）安全系数也被定义在块体间平面上;（3）所有类型的塑性问题，边坡稳定性，承载力和土压力是相同的制定。两种情况下的治疗的时刻平衡条件进行了讨论。GLEM适用于众所周知的问题。计算结果与理论计算结果吻合较好。GLEM可以用来获得土压力或承载力的分布。GLEM和普通LEM一样，对实际问题非常有效，但GLEM更具有理论性，可以得到更精确的解。
ABSTRACT It has been shown after mathematical and mechanical investigation that Limit Equilibrium Method (LEM) can be considered as a method to obtain the necessary condition of Slip Line Method (SLM), and that the solution can be obtained under the condition that Fs = 1 and ∂ Fs/∂θ = 0, where Fs is the safety factor and θ is the inclination of the plane on which the safety factor is defined. Next, the generalized LEM (GLEM) is proposed, dealing with the following points: (1) Triangular or quadrangular blocks can be treated; (2) Safety factors are defined also on interblock planes; and (3) All types of plastic problems, slope stability, bearing capacity, and earth pressure are identically formulated. Two situations regarding treatment of the moment equilibrium condition are discussed. GLEM is applied to well-known problems. The results agree well with those obtained by theoretical methods. GLEM can be used to obtain the distribution of earth pressure or bearing capacity. GLEM, like ordinary LEM, is very effective for the practical problems, but GLEM is more theoretical and it can result in more accurate solutions.
Kohji Tokimatsu：“不排水循环试验中孔隙压力响应的系统合规性校正”日本土壤工程学会会议记录（暂定）（1990 年）。
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