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倾倒破坏是陡倾层状岩体边坡一类主要的变形破坏形式,地震作用下岩质边坡块体倾倒破坏分析具有重要的工程指导意义。基于块体极限平衡,针对岩块长细比较大的情况,推导出了地震作用下岩质边坡倾倒破坏的一般解析解。对于简单的反倾边坡,给出了地震作用下倾倒破坏的显式解析解,并推导了岩块间法向力、破坏模式转变点和坡脚剩余下滑力计算公式。通过4个典型算例研究了地震作用对反倾边坡破坏模式、倾倒破坏时所允许的最大陡倾节理视倾角、破坏模式转变点和坡脚剩余下滑力的影响,为反倾边坡的抗震支护设计提供了理论基础。最后,根据地震影响系数与破坏模式转变点和坡脚剩余下滑力的定量关系对比分析了解析法与传递系数法,结果显示,当岩块长细比大于20时,解析法具有足够的计算精度。
Dumping failure is one of the major deformation and failure forms of steeply inclined rock mass slope. It is of great engineering significance to analyze the dumping failure of rock slope blocks under earthquake. Based on the limit equilibrium of blocks, a general analytical solution to the dumping failure of rock slopes under earthquake is derived for the case of large slenderness ratio of rock mass. For a simple anti-slope, an explicit analytic solution of dump failure under earthquake action is given, and the formulas for calculating the normal sliding force, the transition point of failure mode and the remaining sliding force of the slope foot are deduced. The impact of seismic action on the failure mode of anti-tilting slope, the maximum apparent steep dip angle, the transition point of failure mode and the residual sliding force of the slope foot during dumping failure are studied by four typical examples. Seismic support design provides a theoretical basis. Finally, the analytical method and the transfer coefficient method are compared and analyzed according to the quantitative relationship between the earthquake influence coefficient and the residual sliding force at the transition point of failure mode and the slope foot. The results show that the analytical method has enough accuracy when the slenderness ratio of rock mass is more than 20 .