基于极限分析理论坡面荷载作用下三维边坡稳定性分析

Three-dimensional Stability Analysis of Loaded Slope Based on Limit Analysis

基于极限分析上限法理论,考虑坡面荷载作用的影响,研究了三维土体边坡的稳定性.通过求解土体内耗功率、重力功率、坡面荷载功率,推导三维土体边坡在坡面荷载作用下的稳定系数计算表达式.编制了稳定系数计算程序,分析了内摩擦角、坡角、坡面荷载、宽高比对边坡稳定的影响规律.坡面荷载边坡稳定系数随着坡面荷载的增加几乎呈线性增加,在较小宽高比时,边坡表现出明显的三维特性,在较大宽高比时,可以忽略边界的约束作用,用二维分析结果代替三维分析结果,为坡面受荷载作用边坡稳定性分析提供理论基础.

Based on the upper bound theory of limit analysis, considering the influence of load, the three-dimensional （3d） stability of soil slope was studied. By solving the soil internal friction power, gravity power and surface load power, the 3 d stability coefficient expression of loaded slope was deduced. The computer program for stability coefficient was compiled, and the influence of slope stability was analyzed with internal friction angle, slope angle, slope surface load, and ratio of width to height. The slope stability coefficient increases linearly with the increase of the slope surface load. The slope shows obvious three-dimensional characteristics in the lower ratio of width to height. The constraint of the boundary can be ignored in the larger ratio of width to height, and the three dimensional analysis results can be replaced by two dimensional analysis results. This paper provides the theoretical basis for the analysis of loaded slope stability analysis.