Usage, manipulation, transport, delivery, and mixing of granular or particulate media, comprised of spherical or polyhedral particles, is commonly encountered in industrial sectors of construction (cement and rock fragments), pharmaceutics (tablets), and transportation (ballast). Elucidating particulate media’s behavior in concert with particle attrition (i.e., particle wear and subsequent particle fragmentation) is essential for predicting the performance and increasing the efficiency of engineering systems using such media. Discrete element method (DEM) based techniques can describe the interaction between particles but cannot model intra-particle deformation, especially intra-particle fracture. On the other hand, peridynamics provides the means to account for intra-particle deformation and fracture due to contact forces between particles. The present study proposes a hybrid model referred to as PeriDEM that combines the advantages of peridynamics and DEM. The model parameters can be tuned to achieve desired DEM contact forces, damping effects, and intra-particle stiffness. Two particle impacts and compressive behavior of multi-particle systems are thoroughly investigated. The model can account for any arbitrarily shaped particle in general. Spherical, hexagonal, and non-convex particle shapes are simulated in the present study. The effect of mesh resolution on intra-particle peridynamics is explicitly studied. The proposed hybrid model opens a new avenue to explore the complicated interactions encountered in discrete particle dynamics that involve the formation of force chains, particle interlocking, particle attrition, wear, and the eventual breakage.

由球形或多面体颗粒组成的粒状或颗粒状介质的使用，操作，运输，输送和混合，在建筑业（水泥和碎石），制药业（片剂）和运输业（压载物）的工业部门中经常遇到。阐明颗粒介质与颗粒磨损（即颗粒磨损和随后的颗粒碎裂）相一致的行为，对于预测使用此类介质的性能和提高工程系统的效率至关重要。基于离散元方法（DEM）的技术可以描述粒子之间的相互作用，但无法对粒子内部变形（尤其是粒子内部断裂）进行建模。另一方面，外围动力学提供了解决由于粒子之间的接触力而导致的粒子内变形和断裂的方法。PeriDEM结合了周边动力学和DEM的优点。可以调整模型参数以实现所需的DEM接触力，阻尼效果和粒子内刚度。彻底研究了多粒子系统的两个粒子冲击和压缩行为。该模型通常可以考虑任何任意形状的粒子。在本研究中模拟了球形，六边形和非凸形的粒子形状。明确研究了网格分辨率对粒子内围动力学的影响。提出的混合模型为探索离散粒子动力学中遇到的复杂相互作用开辟了一条新途径，这些动力学涉及力链的形成，粒子的互锁，粒子的磨损，磨损以及最终的断裂。