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Rigorous solution of slope stability under seismic action

机译：地震作用下边坡稳定性的严格求解

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摘要

For the conventional limit analysis methods of slope stability, the sliding block is assumed to be completely rigid and slide along a critical slip surface. However, the block actually slides along a sliding belt instead of a slip surface due to the friction force in soil, and the failure mechanism is regarded as a rigid-plastic mixture consisting of five parts divided by stress and velocity discontinuous lines. A novel algorithm is proposed to generate the slip line field to search for the ultimate load satisfying statically and kinematically admissible boundaries by solving boundary value problems. The ultimate load, a rigorous solution based on the proposed method, is not only the lower bound solution, but also the upper bound solution. The distribution of the sliding belt and the ultimate load are verified by comparing with the strength reduction method and the Spencer method from two different side perspectives. In the meantime, the seismic action is assumed to be two equivalent forces by a pseudo-static method to analyse the seismic effect on the ultimate load of slopes.
机译：对于传统的边坡稳定性极限分析方法，假定滑块是完全刚性的，并沿着临界​​滑动面滑动。然而，由于土壤中的摩擦力，砌块实际上沿滑动带而不是滑动表面滑动，并且破坏机理被认为是由应力和速度不连续线划分的由五个部分组成的刚塑性混合物。提出了一种新颖的算法来产生滑移线场，以通过求解边界值问题来寻找满足静态和运动学上允许的边界的极限载荷。极限载荷是基于所提出方法的严格解决方案，它不仅是下界解，而且还是上限解。从两个不同的角度，通过与强度折减法和Spencer方法进行比较，验证了滑带的分布和极限载荷。同时，通过拟静力分析假设地震作用是两个等效力，以分析地震对边坡极限荷载的影响。

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