边坡稳定性的解析计算  

ANALYTICAL CALCULATION OF SLOPE STABILITY

作　　者：蒋斌松[1] 蔡美峰[2] 吕爱钟[1] 

机构地区：[1]山东科技大学土木建筑工程学院,泰安271019 [2]北京科技大学土木与环境工程学院,北京100083

出　　处：《岩石力学与工程学报》2004年第16期2726-2729,共4页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金(50279018)资助项目

摘　　要：对于边坡的平面和圆弧形滑裂面,采用解析方法建立了边坡安全系数的正确的解析表达式。对于平面滑动,给出了边坡的临界滑裂面和最小安全系数的解析算式;对于圆弧滑动,利用函数取极值的条件,提出了通过求解一个二元代数方程组来获得边坡的临界滑裂面和最小安全系数。作为算例,对于纯粘性土边坡(j = 0),建立了确定边坡临界滑裂面的迭代算式,并计算了某些边坡的临界滑裂面和最小安全系数。The correct calculation formulas are established on the safety factor of slope by using analytical method. Two kinds of failure surfaces are considered, planar failure surface and circular failure surface. In the case of planar failure surface, the analytical formulas are obtained for the critical slip surface and the minimum safety factor. In the case of circular failure surface, by performing minimization on the function derived, a set of algebraic equations involving two variables are obtained to determine the critical slip surface and the minimum safety factor. As an example, two alternative algebraic equations are given to determine the critical slip surface for the slope involving undrained cohesive soil with friction angle of zero. And the critical slip surfaces and the minimum safety factors are computed for some slopes.

关 键 词：边坡 稳定性 岩土力学 解析方法 平面滑动 圆弧滑动 安全系数 临界滑裂面 

分 类 号：TU457[建筑科学—岩土工程]