最小势能方法在二维边坡稳定分析中的应用  

2D slope stability analysis using principle of minimum potential energy

作　　者：李小强[1] 白世伟[1] 李铀[2] 

机构地区：[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

出　　处：《岩土力学》2004年第6期909-912,共4页Rock and Soil Mechanics

基　　金：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。A 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 Society (ACADS) test problem demonstrates the validity of this method.

关 键 词：边坡稳定 最小势能方法 安全系数 

分 类 号：TU457[建筑科学—岩土工程]