复杂荷载条件下边坡稳定性的上限极限分析

基于极限分析上限定理与土的抗剪强度折减技术，考虑边坡顶面超载、坡体内孔隙水压力与地震惯性力等复杂荷载，建立了边坡稳定的极限平衡状态方程，采用优化方法求解边坡稳定安全系数及相应的潜在破坏模式。其中水与地震对边坡的影响作用通过虚功方程来体现，将孔隙水压力与地震惯性力当作外力荷载做功，将强度折减系数作为评价边坡稳定性的定量指标。通过典型算例的对比分析，验证了方法的合理性，并探讨了孔隙水压力、地震加速度系数对边坡稳定性的影响。

Stability analysis of slope subject to complex loads based on upper-bound method of limit analysis

Based on the kinematic method of limit analysis and the shear strength reduction technique, the equation for expressing the critical limit-equilibrium state is formulated and employed to define the factor of safety and its corresponding critical failure mechanism by mathematical optimization method for a given slope subject to pore-water pressure and seismic load. The presence of pore water and seism can be embodied through work terms in the energy balance equation, and water pressure and seismic inertia force are considered as external forces similar to gravity and surface tractions. The traditional definition of factor of safety is adopted in the present method so that the results from the limit analysis can be directly compared with those from methods of slices. Through numerical analyses for several typical examples, the reasonability of the method is verified. Numerical computations are made to examine the influence of pore water pressure and horizontal seismic acceleration coefficient on slope stability.