Volume 16
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Chan, K. W., & Kwan, A. K. H. (2014). Evaluation of particle packing models by comparing with published test results. Particuology, 16, 108–115. https://doi.org/10.1016/j.partic.2013.11.008
Evaluation of particle packing models by comparing with published test results
K.W. Chan, A.K.H. Kwan *
Department of Civil Engineering, The University of Hong Kong, Pokfulam, Hong Kong, China
10.1016/j.partic.2013.11.008
Volume 16, October 2014, Pages 108-115
Received 12 July 2013, Revised 5 November 2013, Accepted 29 November 2013, Available online 4 February 2014.
E-mail: khkwan@hku.hk

Highlights

• Existing packing models were evaluated by checking against published test results.

• The 2-parameter and compressible models may not be accurate when size ratio <0.65.

• Relatively, the 3-parameter model is the most accurate and widely applicable.


Abstract

The existing particle packing density models each with two or more parameters accounting for certain particle interactions (the loosening effect parameter, wall effect parameter, wedging effect parameter, and compaction index, denoted by a, b, c, and K, respectively) may be classified into the 2-parameter model (with a and b incorporated), the compressible model (with a, b, and K incorporated), and the 3-parameter model (with a, b, and c incorporated). This paper evaluates these models by comparing their respective packing density predictions with the test results published in the literature. It was found that their accuracy varies with both the size ratio and volumetric fractions of the binary mix. In general, when the size ratio is larger than 0.65, all the packing models are sufficiently accurate. However, when the size ratio is smaller than 0.65, some of them become inaccurate and the errors tend to be larger at around the volumetric fractions giving maximum packing density. Relatively, the 3-parameter model is the most accurate and widely applicable.

Graphical abstract
Keywords
Packing density; Particle packing models; Particle interactions