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最小势能方法在二维边坡稳定分析中的应用
引用本文:李小强,白世伟,李铀.最小势能方法在二维边坡稳定分析中的应用[J].岩土力学,2004,25(6):909-912.
作者姓名:李小强  白世伟  李铀
作者单位:1. 中国科学院武汉岩土力学研究所,岩土力学重点实验室,湖北,武汉,430071
2. 中南大学,土木建筑学院,湖南,长沙,410004
基金项目:国家自然科学基金项目资助(编号:50334060),国家重大基础研究项目(973)(编号:2002CB412708)
摘    要:提出了一种新的边坡稳定性评价方法。依据平衡体系势能变化最小的原理,从整个边坡的势能变化求得一个满足势能的最小位移,并直接求出滑面上的法向力分布。均质边坡直接用此分布即可求出合理的安全系数;具有多种土层边坡在保持法向力代数和不变的前提下,按自重应力因子重新分布,也可以求得合理的安全系数。

关 键 词:边坡稳定  最小势能方法  安全系数
文章编号:1000-7598-(2004)06-0909-04
修稿时间:2003年9月26日

2D slope stability analysis using principle of minimum potential energy
LI Xiao-qiang,BAI Shi-wei,LI You.2D slope stability analysis using principle of minimum potential energy[J].Rock and Soil Mechanics,2004,25(6):909-912.
Authors:LI Xiao-qiang  BAI Shi-wei  LI You
Abstract:A new method is put forward to analyze the stability of slopes. Based on the principle that the equilibrium system's potential energy should be the minimum, a little displacement can be got and the normal stress distribution along the sliding surface can be achieved . For uniform slope, the safety factor can be got directly with the consideration of equilibrium conditions and the principle of strength failure. For complex slopes , the sum of normal forces along the sliding surface is kept as the same and the normal stress along the sliding surface is redistributed according with the gravitational stress. The result of Australian Computer Aided Design Sociery(ACADS) test problem demonstrates the validity of this method.
Keywords:slope stability  principle of minimum potential energy  safety factor
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