边坡稳定性分析的离散元极限平衡法研究  

A New Approach for Slope Reliability Analysis Using Limit Equilibrium Method and Distinct Element Method

作　　者：陈颉 曾亚武[1] CHEN Jie1,2, ZENG Yawu1(1. School of Civil Engineering, Wuhan University, Wuhan, Hubei 430072, China ; 2.School of Computer, Hubei University of Technology, Wuhan, Hubei 430065, Chin)

机构地区：[1]武汉大学土木建筑工程学院,湖北武汉430072 [2]湖北工业大学计算机学院,湖北武汉430065

出　　处：《水利与建筑工程学报》2018年第3期113-119,共7页Journal of Water Resources and Architectural Engineering

基　　金：国家自然科学基金项目(41272342)

摘　　要：结合极限平衡法和离散元法的思想,提出了一种新的边坡稳定性分析方法——离散元极限平衡法。将边坡离散为半径相同的圆盘,并对整个边坡进行覆盖;依据静力平衡假定求解所有单元的内力,获得圆盘单元之间以及圆盘与刚性壁之间的法向力和切向力;采用相对摩擦系数表征边坡各点的状态并利用自行编制的程序进行排序,根据排序结果绘制出临界的破坏曲线。在操作过程中,先采用较大圆盘初步勾勒出潜在滑动带,将滑动带以外区域设为刚性块体;进一步缩小圆盘大小,逐步逼近整个边坡的形态。通过两个算例进行计算,结果表明该方法计算速度较快,和其他方法的吻合程度较高,可以为类似的研究提供参考。Based on the idea of limit equilibrium method and discrete element method,a new slope stability analysis method-discrete element limit equilibrium method is proposed. By discreting the slope into a disc with the same radius and covering the whole slope and according to the static balance assumption,all the internal forces of the unit are solved,and the normal force between the disc unit and the disc and the rigid wall is obtained to the force.Relative friction coefficient is used to characterize the state of each point of the slope and the use of self-compiled program to sort,according to the sort results to draw the critical damage curve. In the operation process,a large disc is initially used to outline the potential sliding band,and the region outside the sliding band is set as a rigid block. The disc size is further reduced and the shape of the entire slope is gradually approached. By comparing two examples,the results show that the method is faster and more consistent with other methods,which can provide reference for similar studies.

关 键 词：离散元法 极限平衡法 极限摩擦系数 相对安全系数 潜在边坡滑动带 

分 类 号：TU457[建筑科学—岩土工程] TP391.9[建筑科学—土工工程]