The paper presents a numerical study on the void ratio of a ternary mixture of similar ellipsoids. The effect of particle size distribution on the void ratio was investigated through samples of various volume fractions of large, medium, and small particles. The particle size ratio of large, medium, and small particles is 16:4:1. The ratio between the major and minor axes of an ellipsoid is 1.5. Thirty-nine very dense ternary samples and sixteen samples of very dense binary samples have been created using the discrete element method. The void ratios of the ternary samples are similar to those of the round washed sands of broader particle sizes. The void ratios of these numerical samples were estimated by an existing model of ternary mixtures of spheres without adjusting the constants to examine the effect of particle shape. A novel phenomenological model is suggested for the void ratio of a ternary mixture. The model is applied to the ternary mixture of similar ellipsoids, and the ternary mixture of round washed sands. A good agreement is observed in both cases.

中文翻译：

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相似椭球的非常稠密三元混合物的装填空隙率

本文对相似的椭球三元混合物的空隙率进行了数值研究。通过对大，中，小颗粒的各种体积分数进行采样，研究了粒径分布对空隙率的影响。大，中，小颗粒的粒径比为16：4：1。椭球的长轴与短轴之比为1.5。使用离散元方法已创建了39个非常密集的三元样本和16个非常密集的二元样本。三元样品的空隙率类似于较宽粒度的圆形洗砂的空隙率。这些数字样品的空隙率是通过现有的球体三元混合物模型估算的，而无需调整常数以检查颗粒形状的影响。对于三元混合物的空隙率，提出了一种新的现象学模型。该模型适用于类似椭球的三元混合物，以及圆形水洗砂的三元混合物。在这两种情况下均观察到良好的一致性。