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 the behavior of particulate media, 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 \textit{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 effect of mesh resolution on intra-particle peridynamics is explicitly studied. The proposed hybrid PeriDEM model opens a new avenue to explore the complicated interactions encountered in discrete particle dynamics that involve formation of force chains, particle interlocking, particle attrition, and the eventual breakage.

中文翻译：

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基于近场动力学的离散元方法 (PeriDEM) 颗粒系统模型，涉及任意形状颗粒的破碎

由球形或多面体颗粒组成的颗粒或颗粒介质的使用、操作、运输、输送和混合在建筑（水泥和岩石碎片）、制药（片剂）和运输（压载物）等工业部门中经常遇到。阐明颗粒介质的行为以及颗粒磨损（即颗粒磨损和随后的颗粒破碎）对于预测性能和提高使用此类介质的工程系统的效率至关重要。基于离散元方法 (DEM) 的技术可以描述颗粒之间的相互作用，但不能模拟颗粒内变形，尤其是颗粒内断裂。另一方面，近场动力学提供了解释由于颗粒之间的接触力引起的颗粒内变形和断裂的方法。本研究提出了一种称为 \textit{PeriDEM} 的混合模型，它结合了近场动力学和 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种粒子撞击和压缩行为。明确研究了网格分辨率对粒子内近场动力学的影响。拟议的混合 PeriDEM 模型开辟了一条新途径，以探索离散粒子动力学中遇到的复杂相互作用，这些相互作用涉及力链的形成、粒子互锁、粒子磨损和最终断裂。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种粒子撞击和压缩行为。明确研究了网格分辨率对粒子内近场动力学的影响。拟议的混合 PeriDEM 模型开辟了一条新途径，以探索离散粒子动力学中遇到的复杂相互作用，这些相互作用涉及力链的形成、粒子互锁、粒子磨损和最终断裂。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种粒子撞击和压缩行为。明确研究了网格分辨率对粒子内近场动力学的影响。拟议的混合 PeriDEM 模型开辟了一条新途径，以探索离散粒子动力学中遇到的复杂相互作用，这些相互作用涉及力链的形成、粒子互锁、粒子磨损和最终断裂。