斜坡失稳的燕尾突变模型  

ANALYSIS OF COATTAIL CATASTROPHE MODEL OF SLOPE FAILURES USING STIFFNESS RATIO

作　　者：孙强[1] 刘天霸[2] 秦四清[1] 李厚恩[1] 张晓科[1] 

机构地区：[1]中国科学院工程地质力学重点实验室,北京100029 [2]中国地质科学院水文地质环境地质研究所,石家庄050061

出　　处：《工程地质学报》2006年第6期852-855,共4页Journal of Engineering Geology

摘　　要：文章对一个平面滑动型斜坡,考虑滑面介质有和上部岩体由不同力学性质的材料组成,上部岩体为弹性介质,滑带介质为应变软化介质。对应变软化介质,用W e ibu ll分布描述滑带介质的剪应力与应变关系,建立了斜坡系统的燕尾突变模型。通过分析,发现斜坡失稳与刚度比具有极大关联性。随着刚度比的增大,斜坡开始滑动时的0ξ值降低不断降低,突跳时ξ*值也随着降低。此时的临界值x*增大,突跳量Δx变小。当刚度比增加到一定程度后,会出现无突跳式的滑动。A coattail catastrophe model is presented. The necessary and sufficient conditions leading to slope failure are discussed. The sliding belt is assumed to be planar. The sliding belt and the upside crag body are composed of the different materials with different mechanical properties. The upside crag body is modeled as the elastic brittle material （ called medium 1 ） ; the sliding belt medium is modeled as a strain - softening material （ called medium 2）. The shear stress -strain constitutive model is described by the Weibull＇s distribution law. In this way, a coattail catastrophe model is developed for the slope failures. Through the analysis, it is discovered that the slope steadily has a good relation with the stiffness ratio λ of medium 1 to medium 2. Along with λ increase, the ξ0 value that slope starts to skid reduces, and the value ξ^ ＊ of skips also reduces. At the same time, the marginal value x^ ＊ increases, and the skip quantitative Ax changes to be smaller.

关 键 词：燕尾突变 失稳 WEIBULL分布 刚度比 突跳 

分 类 号：TD824.7[矿业工程—煤矿开采]