基于突变理论的有限元强度折减法边坡失稳判据探讨  

Study on the slope failure criterion in strength reduction finite element method based on catastrophe theory

作　　者：娄一青[1] 顾冲时[1] 李君[2] 

机构地区：[1]河海大学水利水电工程学院 [2]河海大学土木工程学院,江苏南京210098

出　　处：《西安建筑科技大学学报（自然科学版）》2008年第3期361-367,共7页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(50539010;50539030;50539110;50579010);中国水电工程顾问集团公司科技项目(CHC-KJ-2007-02);国家科技支撑计划课题(2006BAC14B03)

摘　　要：采用有限元强度折减法进行边坡稳定分析,建立边坡内最大水平方向位移与折减系数尖点突变模型,并以此作为边坡是否失稳的判断标准.算例分析表明,采用该模型作为失稳判据能体现边坡失稳过程的突变性,物理意义明确;计算结果与传统极限平衡Spencer法计算结果相当接近.同时,将失稳判据量化到一个确定的值,通过比较该值与零的关系来判断边坡是否失稳,概念明确,界定清晰.A cusp catastrophe model of key point＇s horizontal displacement and reduction coefficient is built by using the strength reduction finite element method to evaluate the slope stability. The analysis of example indicates that the mutability of slope failure process can be reflected when this model is employed as the slope failure criterion. The safety factor and potential slip surface obtained by this method is fairly close to the results gotten by traditional limit equilibrium Spencer method. Meanwhile, the method quantifies the failure criterion as a fixed value and the stability of theslope is evaluated by comparing the relationship between the value and zero.

关 键 词：边坡稳定 有限元强度折减 失稳判据 突变理论 尖点突变模型 

分 类 号：TU457[建筑科学—岩土工程]