基于改进极限平衡法的边坡位移分析  

Slope Displacement Analysis Based on Modified Janbu Slice Method

作　　者：孙树林[1,2] 刘小芳 余文平 王天宇 

机构地区：[1]河海大学水文水资源与水利工程科学国家重点实验室,南京210098 [2]地球科学与工程学院,南京210098

出　　处：《科学技术与工程》2014年第17期11-15,共5页Science Technology and Engineering

基　　金：河海大学水文水资源与水利工程科学国家重点实验室开放研究基金项目(2005408911);留学回国人员科研基金项目(20071108);江苏省环境保护厅项目(201029)资助

摘　　要：传统的极限平衡法,在假定滑面上各点的安全系数一致前提下,进行边坡稳定性分析,而无法进行边坡滑面上各点的位移分析。改进的Janbu条分法首先基于极限平衡理论和邓肯-张的应力-应变模型构建剪应力-剪切位移双曲线模型,提出位移协调方程;其次推导相关公式,并利用Visual Basic语言编程计算,得到滑面上各点与位移有关的信息(如局部应力安全系数、局部位移安全系数、剪切位移及坡顶位移等),从而弥补传统极限平衡法无法进行边坡滑面上各点位移分析的不足。最后,通过算例对坡顶有无堆载两种工况进行计算分析,其结果表明坡顶和坡脚最易破坏,与实际情况一致,证明该方法可行。Traditional limit equilibrium method analyses slope stability under the assumption that points on the sliding surface have the same safety factor, but it can＇ t forecast displacement of these points. Firstly, shear stress- shear displacement hyperbolic curve model is established based on limit equilibrium theory and stress-strain model of Duncan-Chang in Modified Janbu slice method, and then compatibility equation of displacement is put forward. Secondly, related formulas are deduced, and some information about displacement of points on sliding surface, such as local force-based safety factors, displacement-based safety factors, shear displacement, slope crest dis- placement, is derived after calculating by Visual Basic language. Accordingly, the drawback of traditional limit equilibrium method will be made up. Finally, two examples, loading shown that the crest and foot of slope can be most probably damaged, on top of slope and not, are analyzed, it is and this is the same to the real case. reco^-nizing this method at the same time.

关 键 词：改进Janbu条分法 边坡位移分析 剪应力-剪切位移双曲线模型 极限平衡理论 

分 类 号：P642.22[天文地球—工程地质学]