基于不平衡力的边坡临界滑面搜索

Searching Critical Slip Surface of Slope Based on Unbalanced Force

基于变形加固理论,采用强度折减法使边坡趋于极限状态,以整体塑性余能作为边坡失稳判据,不平衡力集中的区域即为发生破坏区域。为了获得边坡的临界滑移面,沿深度方向搜索不平衡力的极大值,获得一系列离散的极值点,然后采用最小二乘法进行拟合,完成滑面的搜索。通过经典算例,将本文方法与其他方法进行对比,验证算法的可靠性。由于不平衡力的反力即为需要的加固力,在搜索滑面的同时可以获得滑面各处所需加固力,在实际工程中具有重要的应用价值。

Based on the deformation reinforcement theory,the strength reduction method of finite element is used to lead the slope to limit equilibrium state,which can be judged by the overall plastic residual energy.While the damage areas usually have considerable unbalanced force,we can get a series of discrete critical points by searching the maximum of unbalanced force along the deep direction.Then the least square method is used to acquire a smoothed critical sliding surface of slope.Comparing with other methods,the proposed procedure is verified to be reliable.As to the reaction force of unbalanced force is reinforced force,we can obtain that at the same time of searching,which has important application value in engineering practice.