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根据边坡失稳的特征,将坡体分成主被动塑性区、刚性区,分析了土体中不连续应力场和速度场特点,基于上下限原理的推论,建立计算模型,构建求解边坡极限承载力的算法,通过解三类边值问题,求得边坡极限承载力的精确数值解。该解满足土中刚性区的静力平衡条件、刚体运动条件和已知的边界条件。利用该算法对影响承载力的几个因素进行了讨论。算例表明:该文求解边坡极限承载力严密解的算法是可行的,结论可靠。
According to the characteristics of slope instability, the slope body is divided into the primary and the passive plastic zone and the rigid zone. The discontinuous stress field and velocity field in the soil are analyzed. Based on the corollary of upper and lower limit principle, the calculation model is established and the slope limit Bearing capacity of the algorithm, by solving three types of boundary value problems, to obtain the ultimate bearing capacity of the slope of the exact numerical solution. The solution satisfies the static equilibrium conditions, the rigid body motion conditions and the known boundary conditions of the rigid zone in the soil. Several factors affecting the bearing capacity are discussed by using this algorithm. The example shows that this algorithm for solving the strict bearing capacity of the slope is feasible and the conclusion is reliable.