考虑岩土体变形的边坡临界高度上限解

Upper-bound solution of critical height of slope considering soil and rock deformation

考虑岩石和土体变形,取对数螺旋面为破坏面,利用塑性力学中的极限分析方法对边坡的临界高度进行了研究.由库仑材料相关联流动法则推得了变形破坏区的速度场.由变形破坏机构得到了边坡临界高度上限解随坡角及岩土内摩擦角的变化规律.并通过比较发现:变形破坏机构对应的上限解略小于刚体平动机构对应的上限解,略大于刚体转动机构得到的上限解.

Considering rock and soil deformation and using logspiral failure surface, the limit analysis method in plastic mechanics was used to solve the critical height of slope. The velocity field of deforming region was obtained from the associated flow rules for Coulomb materials. The variation rule of the critical height obtained from deforming failure mechanism with the intemal friction angle of soil and rock and slope angle was studied. It is found by comparison that the upper-bound solution of critical height from deforming failure mechanism is less slightly than that from rigid blocks translational failure mechanism, and more slightly than that from rigid blocks rotational failure mechanism.