采用边坡稳定性强度折减法分析弹性应变能突变判据

来源期刊：中南大学学报(自然科学版)2009年第4期

论文作者：柴红保 曹 平 林 杭 赵延林

文章页码：1054 - 1058

关键词：强度折减法；失稳判据；能量；安全系数

Key words：strength reduction method; strength reduction failure criteria; energy; safety coefficient

摘    要：为分析采用强度折减法确定边坡安全系数过程中边坡弹性应变能随折减系数变化与边坡失稳破坏的内在联系，建立数值模型，记录边坡弹性应变能与折减系数关系曲线；通过对某边坡的分析，绘制弹性应变能与折减系数关系曲线。研究结果表明：采用强度折减法，当边坡处于稳定状态时，折减系数增大引起边坡变形增大，导致边坡体弹性应变能随之增大；但是，边坡岩土体能够承受的弹性应变能是有极限的，当折减系数增大到某一值时，边坡体的弹性应变能达到极限，再增大折减系数将导致边坡失稳破坏；边坡体弹性应变能与折减系数服从指数关系；利用弹性应变能与折减系数关系曲线得到的边坡安全系数与采用其他经典的方法所得边坡安全系数基本一致，弹性应变能随折减系数变化而变化的规律可以作为边坡稳定性强度折减法分析的失稳判据。

Abstract: A calculation model was created to analyze the relationship between elastic strain energy and the reduction coefficient in slope stability analysis using strength reduction method. The relationship between elastic strain energy and the reduction coefficient was recorded. One slope was analyzed, and the curve of the elastic strain energy and the reduction coefficient was plotted. The results show that the elastic strain energy becomes larger with the increase of the strength reduction coefficient when the slope is still in steady state. That the strength reduction coefficient becomes larger causes the strain of the slope and elastic strain energy larger. The elastic strain energy of the slope has a limited point. The biggest value can be gotten when the strength reduction coefficient reaches a value. The slope will slip if the strength reduction coefficient becomes larger. There exists an index relationship between the elastic strain energy and reduction coefficient. The safety factor obtained with the relationship between elastic strain energy and the reduction coefficient is similar to that obtained by other traditional slope steady analyzed method. The relationship between elastic strain energy and the reduction coefficient can be used as criteria in slope stability analysis using strength reduction method.

基金信息：国家自然科学基金资助项目
高等学校博士学科点专项科研基金资助项目
中国博士后科学基金资助项目
南省研究生创新基金资助项目