Modeling the failure of structures induced by the movement of soils has consistently been one of the challenges that computational mechanics aims to address. In this study, an innovative nonlocal general particle dynamic method is established for soil-structure interaction problems. The pivotal advantage of the proposed method is its capability to achieve a comprehensive simulation from soil sliding to structural collapse. The treatments of the interaction force of particles near the soil-structure interface are introduced in detail in this paper. A particle shifting technology, which uses the condition number of the shape tensor to identify free surface particles, is proposed to improve the numerical stability. To enhance computational efficiency and accuracy, different particle spacings and time steps are employed to simulate soil and solid structures. A staggered solution scheme is developed to solve the movements of soil and solid. The framework proposed in this paper is verified by several benchmark examples, including a free oscillating cantilever beam and a soil column on an elastic plate. Then, the proposed method is further applied to investigate the fracture behavior of a structure subjected to the soil impact. The numerical results demonstrate that the proposed method has favorable convergence and the ability to simulate soil-structure interaction problems.

中文翻译：

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一种用于模拟土-结构相互作用的非局部通用粒子动力学方法


对土壤运动引起的结构失效进行建模一直是计算力学旨在解决的挑战之一。本研究针对土-结构相互作用问题建立了一种创新的非局域广义粒子动力学方法。所提出的方法的关键优势在于它能够实现从土壤滑动到结构倒塌的全面模拟。本文详细介绍了土-结构界面附近颗粒相互作用力的处理方法。提出了一种粒子移位技术，该技术利用形状张量的条件数来识别自由表面粒子，以提高数值稳定性。为了提高计算效率和准确性，采用了不同的粒子间距和时间步长来模拟土壤和固体结构。开发了一种交错解方案来求解土壤和固体的运动。本文提出的框架通过几个基准实例进行了验证，包括自由摆动悬臂梁和弹性板上的土柱。然后，进一步应用所提出的方法研究结构在土体冲击下的断裂行为。数值结果表明，所提方法具有良好的收敛性，具有模拟土-结构相互作用问题的能力。