Upper Bound Limit Analysis of Stability on Multi-Level Slopes with Benches

Abstract

According to the condition of the virtual work rate equation in the limit state, the formula for safety factor of multi-level slopes with benches is deduced by using the theory of the limit analysis upper bound method and strength reduction technical. However, overall and local instability occur for the limit analysis upper bound method. The location of the most dangerous sliding surface is determined by an optimization procedure that employs sequential quadratic programming. The most dangerous sliding surface is determined by separately calculating a plurality of the sliding surface to identify the slip surface with the least safety factor (it has the worst stability). The overall and local stabilities of a three-level slope are discussed and compared by analyzing the examples and parameters used. Results show that the minimum factor of safety calculated in this is slightly smaller than that of the existing results, and the most dangerous sliding surface obtained in this study is also similar to the method is established. Parametric analysis shows that the local instability of the slope occurs when the slope angle increases in homogeneous multi-level slopes. The stability of high slopes can be improved and the construction difficulty can be reduced by adding steps. Research results on high slope engineering have practical value.