一种确定平面滑动型均质边坡安全系数的弹性极限平衡方法

A New Method to Determine Safety Factor of Plane Sliding Uniform Slope Based on Elastic Limiting Equilibrium Theory

根据均质边坡的实际地质与几何特征,将其简化为无限大楔形体弹性力学模型,用经典弹性理论推导出了该力学模型对应的坡体内部应力分量的解析表达式.根据求出的应力表达式,对潜在滑动面形式为平面的边坡,结合极限平衡理论推导出了边坡安全系数的表达式.最后用简单算例验证了应用该安全系数表达式的可行性,同时将其计算结果与基于刚体极限平衡理论的条分法的结果之间的异同进行了比较.首次采用弹性极限平衡法确定了安全系数的解析表达式,具有一定的应用前景.

Slope is simplified as an elastic model of infinite wedge form according to its geological and geometrical characteristics and analytic expression of stress components is formulated out with classic elastic theory. Then analytic expression of safety factor are derived with limiting equilibrium theory for plane sliding slope based on the analytic expression of stress components. At last, a simple example is given to test the validity of the expression of safety factor.