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一种确定圆弧滑动面均质边坡安全系数的弹性极限平衡方法
引用本文:连凌云,侯哲生. 一种确定圆弧滑动面均质边坡安全系数的弹性极限平衡方法[J]. 水利科技与经济, 2008, 14(4): 272-275
作者姓名:连凌云  侯哲生
作者单位:1. 辽宁水文地质工程地质勘察院,辽宁,大连,116037
2. 烟台大学,土木工程学院,山东,烟台,264005
摘    要:根据均质边坡的实际地质与几何特征,将其简化为无限大楔形体弹性力学模型,用经典弹性理论推导出了该力学模型对应的坡体内部应力分量的解析表达式。根据求出的应力表达式,对潜在滑动面形式为圆弧的边坡,结合极限平衡理论,采用坐标变换手段推导出了边坡安全系数的表达式。最后用简单算例验证了应用该安全系数表达式的可行性,同时将其计算结果与基于刚体极限平衡理论的条分法的结果之间的异同进行了比较。首次采用弹性极限平衡法确定了安全系数的解析表达式,具有一定的学术价值和实际意义。

关 键 词:圆弧滑动  均质边坡  安全系数  弹性  极限平衡
文章编号:1006-7175(2008)04-0272-04
修稿时间:2007-12-12

A New Method to Determine Safety Factor of Circular Sliding Uniform Slope Based on Elastic Limiting Equilibrium Theory
LIAN Ling-yun,HOU Zhe-sheng. A New Method to Determine Safety Factor of Circular Sliding Uniform Slope Based on Elastic Limiting Equilibrium Theory[J]. Water Conservancy Science and Technology and Economy, 2008, 14(4): 272-275
Authors:LIAN Ling-yun  HOU Zhe-sheng
Affiliation:LIAN Ling - yun, HOU Zhe - sheng (1.Liaoning Institute of Hydrogeological and Engineering Geology Investigation, Dalian 116037, Liaoning, China; 2.School of Civil Engineering, Yantai University, Yantai 264005, Shandong, China)
Abstract:Slope is simplified as an elastic model of infinite wedge form according to its geological and geometrical characteristics and analytic expression of stress components of the model are deduced out with classic elastic theory. Then analytic expression of safety factor are derived out with coordinate conversion method and limiting equilibrium theory for circular sliding slope based on the analytic expression of stress components. At last, a simple example is given to test the validity of the expression of safety factor and to show its academic and theoretic significance.
Keywords:circular sliding  uniform slope  safety factor  elastic  limiting equilibrium
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