We explore the effect of particle shape on the angle of repose (AoR) in granular packing using a three-dimensional discrete element method. Non-spherical particles were modeled using super-ellipsoids characterized by aspect ratio and blockiness. The relationship between AoR and particle shape was examined, followed by a series of analyses on the origin of AoR from a microscopic perspective. Results show that, with blockiness deviating from unity, AoR has an approximate “M” shape that exhibits a strong to weak trend with aspect ratio, matching results of previous reports. Another finding suggests a parabolic relationship between normalized AoR and normalized coordination number. AoR increases with anisotropy related more with the anisotropy of particle orientation than with the anisotropy of contact normal. Particle shape is more likely to affect AoR by affecting the tangential force than the normal contact force. An analysis based on traction indicates that dips in stress associated with the tangential force (compared with the normal force) and non-spherical particles (compared with spheres) are more significant. For various particle shapes, AoR is positively correlated with friction mobilization but is negatively correlated with friction mobilization for various coefficient of friction.

我们使用三维离散元方法探索颗粒形状对颗粒填料中休止角（AoR）的影响。使用具有长宽比和块状特征的超椭球体对非球形粒子进行建模。检查了AoR与颗粒形状之间的关系，然后从微观角度对AoR的起源进行了一系列分析。结果表明，在块状性偏离统一性的情况下，AoR呈近似“ M”形，并随纵横比显示出从强到弱的趋势，与以前的报告结果相符。另一个发现表明归一化的AoR和归一化的协调数之间存在抛物线关系。AoR随各向异性的增加而增加，与粒子取向的各向异性有关，而不是与接触法线的各向异性有关。粒子形状比正常接触力更可能通过影响切向力来影响AoR。基于牵引力的分析表明，与切向力（与法向力相比）和非球形粒子（与球体）相关的应力下降更为明显。对于各种颗粒形状，对于各种摩擦系数，AoR与摩擦动量呈正相关，但与摩擦动量呈负相关。