Analytical calculation of the critical inclination of rock slopes with a planar failure surface under water pressure
LI Wei1，ZHAN Liangtong1，WANG Kang2
(1. Institute of Geotechnical Engineering，Zhejiang University，Hangzhou，Zhejiang 310058，China；2. College of Management Science，Chengdu University of Technology，Chengdu，Sichuan 610059，China)
Abstract：For the rock slope without a definite sliding surface，finding the position of the most dangerous sliding surface with planar failure and critical inclination is beneficial to accurately assess the stability of the slope and to the design of slope engineering. The mechanical model of rock slope with a planar failure considering the water pressure is established，and the unified analytical solution of the critical inclination is obtained by minimizing the value of a certain function. The reasonable form of water pressure distribution on the sliding surface is adopted and the detailed analytical solution of critical inclination is obtained considering the facts whether the front edge of the slope is blocked，whether a tension crack exists at the back edge of the slope，whether the sliding surface is filled with water，etc. The analysis results indicate that within a certain range，the critical inclination increases with the the height of the slope，the slope angle，the internal friction angle of the sliding surface，the unit weight and the height of the water table. The higher the cohesion of the sliding surface，the lower the critical inclination. The critical inclination is firstly increased and then decreased with the depth of the tension crack. There are differences in the critical inclination obtained with the different models of hydraulic pressure distribution. The drainage conditions of the slope have a significant influence on the critical inclination. A program calculating the critical inclination was written according to the established analytical solution.
李 伟1，詹良通1，王 康2. 水力作用下平面滑动岩质边坡极限倾角解析计算[J]. 岩石力学与工程学报, 2018, 37(4): 876-886.
LI Wei1，ZHAN Liangtong1，WANG Kang2. Analytical calculation of the critical inclination of rock slopes with a planar failure surface under water pressure. , 2018, 37(4): 876-886.
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2018, Vol. 37 
