A nonlinear packing model for multi-sized particle mixtures

作者：Chang Ching S^*; Deng Yibing

来源：Powder Technology, 2018, 336: 449-464.

DOI：10.1016/j.powtec.2018.06.008

• Particle packing model
• Granular material
• Void ratio
• Packing density
• Multi-sized particle mixture
• Analytical method

Linear packing models are commonly used to predict the specific volume of a packing mixture composed of several size classes of particles. In a linear packing model, the specific volume of a packing mixture is a linear function of the volume fractions of each size class of particles. However, predictions from linear packing model have been observed to deviate from measured experimental results of both binary and ternary mixtures. For some cases, the deviation is significant. The concept of dominant size is an important element in the packing model. In the linear packing model, the dominant size is assumed to be one of the size class of the particle mixture. However, this assumption is not suitable for mixtures of particles with certain solid volume fractions. In the present model, we recognized that the dominant skeleton is composed of more than one class of particles. To represent the state of dominant skeleton, we hypothesize a dominant size, which is a continuous variable. Using this hypothesis, a non-linear packing model is developed. The proposed model is evaluated by experimental results obtained from binary mixtures of sand-silt and ternary mixtures of steel ball bearings, steel shots, glass beads, and washed sand. Comparison of the predicted and measured results indicates that this model is able to capture the non-linear behavior of density variation with respect to solid volume fractions.

• 出版日期2018-8