Abstract:
Aiming at the stability analysis of heterogeneous slopes, a discrete kinematic failure mechanism of slopes was constructed based on the upper limit analysis method to consider the influence of heterogeneity of soil internal friction angles.Combined with the strength reduction method, an expression of the safety factor of slopes reinforced by anti-slide piles subjected to pore water pressure was derived.Sequential quadratic programming optimization algorithm combined with dichotomy method was used to optimize the solution, and the correctness of the method was verified by comparing the results with the existing literature solutions, and a case study was carried out.The results show that the increase of pore water pressure will reduce the influence of heterogeneity of internal friction angles on slope stability, and also lead to the decrease of the safety factor of the heterogeneous slope and the critical sliding surface shifting inward the slope, which change slope failure mode from toe failure to base failure.The heterogeneity of internal friction angles and pore water pressure have little effect on the optimal position of anti-slide piles.The shape of slopes and soil layer distribution have great influence on the critical sliding surface and the optimal reinforcement position of anti-slide piles, which should be paid attention to in practical engineering.