摘要
探究内部无确定滑面的平面滑动岩质边坡的最危险滑面位置和倾角,有利于准确评价此类边坡稳定性,对边坡设计分析具有重要的理论指导意义。考虑水力作用,建立平面滑动岩质边坡力学模型,通过函数求极值的方法,得到极限倾角的统一解析解。考虑边坡前缘是否堵塞,后缘是否存在拉张裂隙,滑面上是否充水等实际情况,滑面上采用合理的水压分布形式,得到极限倾角的详细解析解。分析结果表明:在一定范围内,极限倾角随边坡高度、边坡坡角、滑面内摩擦角、岩体重度、水位高度增大而增大;极限倾角随滑面黏聚力增大而减小;当拉张裂隙深度增大时,极限倾角先增大再减小;不同水压分布模型得到的极限倾角存在差异;同时,边坡前缘排水条件对此类边坡极限倾角影响显著。该极限倾角解析解适用范围更广,最后根据建立的解析解,编写求解程序。
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.
作者
李伟
詹良通
王康
LI Wei;ZHAN Liangtong;WANG Kang(Institute of Geotechnieal Engineering, Zhejiang University, Hangzhou, Zhejiang 310058, China;College of Management Science, Chengdu University of Technology, Chengdu, Sichuan 610059, China)
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2018年第4期876-886,共11页
Chinese Journal of Rock Mechanics and Engineering
基金
国家自然科学基金杰出青年科学基金项目(51625805)
国家自然科学基金资助项目(41641028)~~
关键词
边坡工程
岩质边坡
平面滑动
极限倾角
解析解
边坡稳定性
slope engineering
rock slope
planar failure
critical inclination
analytical solutions
slope stability
