孔隙水作用下的二级边坡挡土墙被动土压力上限研究

Upper bound analysis of passive earth pressure for reinforced slope under pore water pressure

借助极限分析方法上限定理,计算考虑孔隙水压力和通过拟静力法简化的水平和竖直向地震力作用下的二级边坡的挡土墙被动土压力的上限解。根据获得的被动土压力上限解,利用MATLAB软件对上限解进行优化计算,并选取适当的参数,分析不同的边坡土体参数及地震土压力系数对挡土墙被动土压力上限解的影响,研究结果表明:二级边坡的被动土压力系数随着横向地震力荷载系数Kh,ρ角和孔隙水压力系数的增加而增加,随着内摩擦角φ和黏聚力c的增大而减小。

Slopes widely exist in many kinds of highway and railway engineering and the stability problems are always of great concern in the field of geotechnical engineering. Under the natural state, slopes under the action of unfavorable factors, such as pore water pressure and seismic forces with no support measures, are very likely to emerge landslides. As a strengthening measure, retaining walls can improve the stability of slopes and prevent the occurrence of landslides effectively. Based on upper bound theorem of limit analysis method, this paper aims to derive the upper bound solution of passive earth pressure acting on the retaining wall under pore water pressure and earthquake forces both horizontal and vertical simplified by quasi - static method. The upper bound solution of passive earth pressure was optimized and, the influence of the parameters of slope on passive earth pressure was calculated and discussed. The research results show that the passive earth pressure coefficient increases with earthquake coefficient and pore water pressure coefficient increasing, and that it decreases with internal friction angle and cohesion increasing. The research findings in this paper can provide a reference for slope engineering.