Developing a robust numerical method to model earthquake-induced landslides has long been a persistent challenge in the field of computational geotechnical engineering. Recently, the meshless methods based on nonlocal theory have piqued the interest of researchers. However, the application of nonlocal theory in seismic analysis is currently limited. This paper proposed a numerical framework based on the updated Lagrangian nonlocal general particle dynamics (UL-NGPD) method to analyze earthquake-induced landslide problems. The UL-NGPD method benefiting from the update support domain can capture the whole process of slope run-out induced by earthquakes. To enhance the numerical stability of the proposed method, several optimizing strategies are proposed. In the current framework, the seismic waves are input through the proposed boundary treatments of nonlocal form. Besides, a nonlocal friction model with velocity-weakening is proposed to accurately simulate the movement process of soils on a rocky sliding bed. The proposed framework is validated by the simulations of several classic problems, including the collapse of sand and the shake table test. The performance of the proposed approach is further demonstrated through simulating the landslides induced by earthquakes. The numerical results consistent with recorded data indicate that the UL-NGPD method has an excellent capacity to deal with earthquake-induced landslide problems.

中文翻译：

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使用更新的拉格朗日非局部通用粒子动力学方法对地震引起的滑坡进行数值模拟


开发一种强大的数值方法来模拟地震引起的滑坡长期以来一直是计算岩土工程领域的一个持续挑战。近年来，基于非局部理论的无网格方法引起了研究人员的兴趣。然而，非局部理论在地震分析中的应用目前还很有限。本文提出了一种基于更新的拉格朗日非局部一般粒子动力学（UL-NGPD）方法的数值框架来分析地震引起的滑坡问题。 UL-NGPD方法得益于更新支撑域，可以捕获地震引起的边坡跳动的全过程。为了增强该方法的数值稳定性，提出了几种优化策略。在当前框架中，地震波是通过所提出的非局部形式的边界处理输入的。此外，还提出了一种速度弱化的非局部摩擦模型，以准确模拟岩石滑床上土体的运动过程。所提出的框架通过沙子崩塌和振动台试验等几个经典问题的模拟得到验证。通过模拟地震引起的滑坡进一步证明了所提出方法的性能。数值结果与记录数据一致表明UL-NGPD方法具有良好的处理地震引发滑坡问题的能力。