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临滑斜坡内聚集了巨大剪切形变能,坡体临滑释放的形变能大于滑带岩体破裂、贯通所需能量的部分,将转变成滑体弹冲剧发的动能.将坡体视为变形体,计算了重力作用下简化坡体模型的剪切形变能,计入滑带厚度,建立斜坡失稳的折迭突变模型,对滑体启动方式进行分析.研究表明,当坡体剪切刚度k小于滑带锁固段岩体抗剪力曲线软化段拐点处刚度|Q′(ut)|,即系统刚度比K=-Q′k(ut)<1时,滑动为剧动式滑坡.给出了滑体弹冲的动能表达式,由此得到的滑体弹冲剧发速度、加速度关系表明,滑体的启程弹冲效应与滑体规模成反比,给出剧动式滑体启程速度的算例.用格林公式证明了临滑坡体剪切形变能释放量,可以用折迭突变模型中的几何图形来表示.当参数变化使系统刚度比K=-Q′k(ut)≥1时,所建立的突变模型可以对缓动式滑坡进行描述.
Large shear deformation energy is accumulated in the slope, and the deformation of the slope is larger than the rupture of the slide zone rock mass, and the part of the energy required to penetrate the slope will transform into the kinetic energy of the slide body. As deformation body, the shear deformation energy of the simplified slope model under gravity is calculated, the thickness of the slide zone is taken into account, and the collapse mutation model of slope instability is established to analyze the start-up mode of the slide body.The results show that when the slope shear The shear stiffness k is less than the stiffness at the inflection point of the shear resistance curve of the rock-slipping section of the sliding zone (Q), ie the system stiffness ratio K = -Q’k (ut) <1, Landslide.The kinetic energy expression of the elastic body is given.The relation between the acceleration and the velocity of the elastic body shows that the departure elastic body effect of the body is inversely proportional to the size of the body, An example of the body departure speed is shown by Green’s formula to demonstrate that the shear deformation energy release of a landslide can be expressed by the geometry in a catastrophic model.When the parameter changes make the system stiffness ratio K = -Q’k (ut ) ≥1, the established mutation model can describe the slow-moving landslide.