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考虑滑面介质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,存在损伤软化与水致软化两种软化方式。用Weibull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和滑带介质的含水率具有极大关联性。随着含水率的增加,斜坡开始滑动时的ξ0值不断降低,突跳时ξ*值也随着降低。此时的临界值x*增大,突跳量△x变小。同时含水率的不断增加,上部岩体和滑带介质的刚度比不断增大。刚度比的增大和含水率的增加引起的斜坡变形具有相似的规律。因此,正是由于含水率的增加和刚度比的增大,导致斜坡失稳的危险性增大,这也是降雨情况下斜坡容易失稳的根本原因所在。
Considering that the sliding surface medium and the upper rock mass are composed of materials with different mechanical properties, the upper rock mass is an elastic medium and the sliding medium is a strain softening medium. For strain softening media, there are two ways of softening and water softening. Weibull distribution is used to describe the relationship between shear stress and strain of sliding zone media. A swallowtail mutation model of slope system is established. Through the analysis, it is found that slope instability and stiffness ratio have a great relationship with the water content of the sliding zone medium. With the increase of water content, the value of ξ0 gradually decreases when the slope begins to slip, and the value of ξ * decreases with the jump. In this case, the critical value x * increases, and the amount of sudden jump Δx decreases. At the same time, the water content keeps increasing, and the rigidity ratio of the upper rock mass and the sliding belt medium is increasing. The slope deformation caused by the increase of stiffness ratio and the increase of moisture content have similar rules. Therefore, it is precisely because of the increase of moisture content and stiffness ratio that the risk of slope instability increases, which is also the root cause of slope instability under rainfall.