边坡三维极限平衡法的通用形式  

GENERALIZED EQUATION OF THREE DIMENSIONAL LIMIT EQILIBRIUM METHODS FOR SLOPE STABILITY ANALYSIS

作　　者：张常亮[1] 李同录[1] 李萍[1] 赵成[1] 

机构地区：[1]长安大学地质工程系,西安710054

出　　处：《工程地质学报》2008年第1期70-75,共6页Journal of Engineering Geology

摘　　要：基于以下假定条件:(1)稳定系数定义为材料的强度折减系数;(2)土体为刚体,底滑面服从Mohr-Columb强度破坏准则;(3)微条柱底部法向力dNz的作用点处于条柱底部中点;(4)滑面剪力与底滑面和xoz平面交线的夹角为θ。本文建立了边坡三维极限平衡法的通用形式,通过给定不同的限制条件,可分别得到三维普通条分法、三维简化毕肖普法、三维简化简布法、三维Spencer法等三维极限平衡的具体算法。In this paper, a generalized equation of three dimensional limit equilibrium methods for slope stability analysis is developed under the four assumptions. They are ： （ 1 ） The safety factor is defined as the strength reduction factor of materials; （2） The soil is looked as rigid body, and the sliding surface obeys the Mohr - Columb strength broken criterion ; （ 3 ） The action position of dNz locates at the middle of the bottom of a column ; （ 4 ） The angle q is the angle between the shearing force of the sliding surface and the intersection of the sliding surface and the xoz plane. This equation can give the equations associated with the general three dimensional limit equilibrium, the simplified Bishop three dimensional limit equilibrium, the simplified Janbu three dimensional limit equilibrium, or the Spencer three dimensional limit equilibrium on the basis of the confined conditions for each specific method.

关 键 词：边坡 滑面 极限平衡 三维 通用形式 

分 类 号：TD824.7[矿业工程—煤矿开采]