Capturing the interaction between objects that have an extreme difference in Young s modulus or geometrical scale is a highly challenging topic for numerical simulation. One of the fundamental questions is how to build an accurate multi-scale method with optimal computational efficiency. In this work, we develop a material-point-spheropolygon discrete element method (MPM-SDEM). Our approach fully couples the material point method (MPM) and the spheropolygon discrete element method (SDEM) through the exchange of contact force information. It combines the advantage of MPM for accurately simulating elastoplastic continuum materials and the high efficiency of DEM for calculating the Newtonian dynamics of discrete near-rigid objects. The MPM-SDEM framework is demonstrated with an explicit time integration scheme. Its accuracy and efficiency are further analysed against the analytical and experimental data. Results demonstrate this method could accurately capture the contact force and momentum exchange between materials while maintaining favourable computational stability and efficiency. Our framework exhibits great potential in the analysis of multi-scale, multi-physics phenomena

中文翻译：

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用于固体和颗粒材料相互作用的混合材料点球面元方法

捕捉杨氏模量或几何尺度差异极大的物体之间的相互作用是数值模拟的一个极具挑战性的课题。基本问题之一是如何构建具有最佳计算效率的准确多尺度方法。在这项工作中，我们开发了一种材料点球面离散元方法 (MPM-SDEM)。我们的方法通过接触力信息的交换将材料点法 (MPM) 和球面离散元法 (SDEM) 完全耦合。它结合了 MPM 在精确模拟弹塑性连续介质方面的优势和 DEM 在计算离散近刚性物体的牛顿动力学方面的高效性。MPM-SDEM 框架使用显式时间积分方案进行演示。根据分析和实验数据进一步分析其准确性和效率。结果表明，该方法可以准确捕获材料之间的接触力和动量交换，同时保持良好的计算稳定性和效率。我们的框架在分析多尺度、多物理现象方面表现出巨大的潜力