边坡临界滑动场及其数值模拟

根据最优控制理论提出了边坡临界滑动场的概念，并提出了模拟临界滑动场的数值方法。临界滑动场是边坡在临界状态下边坡体内无数条互不相交的危险滑动面组成的剩余推力极值曲线场，这些滑动面的形状不受任何数学限制，而临界滑动面是其中的一条。算例表明临界滑动场中的临界滑动面是理论解的数值逼近

Critical Slip Field of Slope and Its Numerical Simulation

The concept of critical slip field (CSF) and the method of its numerical simulation are put forth in the paper. CSF is the field of maximal residual thrust curves in a slope under critical condition, composed of numerous hazardous slip surfaces which do not intersect each other. The shape of these surfaces is not defined mathematically, and among them is the critical slip surface. The results of some examples demonstrate that the critical slip surface in CSF is a numerical approximation to theoretical solution .Furthermore,it is even peculiar to evaluate slope stability with CSF itself.