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降雨入渗下非饱和土质边坡稳定性的最小势能法研究 被引量:10

Minimum Potential Energy Method for Stability Analysis of Unsaturated Soil Slope under Rainfall Infiltration
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摘要 研究一种可以考虑基质吸力时空分布和渗流作用的非饱和土质边坡稳定性分析方法具有重要意义。将边坡视为一个整体,不假定滑面形状,建立考虑非饱和渗流作用的系统势能函数。同时基于最小势能原理,结合Fredlund非饱和土抗剪强度理论,提出最小势能法的安全系数表达式。与传统极限平衡法的不同在于,最小势能法不需要划分条块,不对条间力作假定,满足平衡微分方程和力的边界条件,适用于任意滑面的边坡破坏模式。算例表明,该方法计算结果与其他常用方法基本一致,验证了该方法的有效性,而且计算过程简单,具有较好的实用价值。 It is significant to propose a method of unsaturated soil slope stability analysis accounting for the distribution of matric suction and the effect of seepage. Considering the slope as a whole,its potential function including the contribution of transient unsaturated seepage without any assumption on the shape of sliding surface is established. Based on the minimum potential energy principle and Fredlund's shear strength theory of unsaturated soils,a formula of factor of safety(FS) of minimum potential energy method is derived. In contrast with classical limit equilibrium method,the advantage of minimum potential energy method is that it can satisfy the equilibrium differential equation and the force boundary conditions without being divided into slices. In a case of stability analysis of slope under rainfall infiltration,the good comparison with Spencer Method and Morgenstern-Price Method shows the effectiveness of minimum potential energy method and its good practical value due to the simple calculation without iteration.
出处 《中国农村水利水电》 北大核心 2018年第1期154-160,164,共8页 China Rural Water and Hydropower
基金 国家自然科学基金资助(51329901 51109169)
关键词 最小势能法 降雨入渗 非稳定非饱和渗流 边坡稳定 minimum potential energy method rainfall infiltration transient unsaturated seepage slope stability
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