孔隙水压力作用下三级边坡稳定性的上限

Upper limit solution of the stability for the three-step slope under pore water pressure

根据极限分析上限原理,建立了孔隙水压力作用下三级边坡的对数螺旋线破坏机制,并对其稳定性进行了分析。计算了其外部重力做功功率、孔隙水压力做功功率以及内部能量耗散功率方程,将孔隙水压力作用下三级边坡临界高度的求解转化为非线性规划的数学问题。分析了孔隙水压力作用下土体强度参数对三级边坡稳定性的影响。

According to the upper bound limit analysis theory,a logarithmic spiral line failure mechanism of the three steps slope under the effect of pore water pressure is studied,and the stability is analyzed.The external gravity power power,pore water pres-sure and internal energy dissipation power equation are calculated.The critical height of three grade slope under the effect of pore water pressure is converted into mathematical problem of nonlinear programming.The influence of different parameters on soil stabili-ty of three steps slope is analyzed.