两种应变软化介质组成的边坡失稳研究

对一个平面滑动型边坡，考虑滑面介质由两种应变软化介质材料组成，对应变软化介质存在损伤软化与水致软化两种软化方式。用指数分布描述滑带介质的剪应力与应变关系，建立了边坡系统的尖点突变模型。通过分析发现，边坡失稳与刚度比和边坡的几何/力学参数有极大关联性，这里考虑刚度比是含水率的函数，随着含水率的增加，刚度比不断发生变化。在一定条件下，由于含水率的增加和刚度比的增大，导致边坡失稳的危险性增大，这是降雨情况下边坡容易失稳的根本原因。

Research on instability of slope composed of two strain-softening media

The instability of slope which consists of two strain-softening media is analyzed. The sliding surface is assumed to be planar. There are two factors, which are water and strain, for considering damage soften of the media. The shear stress-strain constitutive relation ship is described by the index distribution law. In this way, a cusp catastrophe model of slope system is established. Through the analytical result, it is discovered that the slope stability has close relation with the stiffness ratio k of medium 2 to medium 1, and the water content of sliding surface medium. Under some specific condition, it finds that with the increase of water content, which results in the change of stiffness ratio k, especially under the condition of rainfall, the landslide is easy to lose its stability.