Evaluation of three packing density models on reference particle-size distributions

IF 2.3 3区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Granular Matter Pub Date : 2023-12-09 DOI:10.1007/s10035-023-01373-4

G. Roquier

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Abstract

Multi-sized mixtures are frequently encountered in soils, industry and construction. In many cases, the particle-size distribution (PSD) must be optimized to achieve a certain packing density, the estimation of which must be as precise as possible. For this purpose, three packing density models are evaluated from published data on PSDs of spheres, angular flint, crushed aggregates: the Compressible Packing Model (CPM), the 3-parameter Particle Packing Model (3PPM), the Theoretical Packing Density Model (TPDM). The PSDs exploited are complementary: power-laws, truncated power-laws, uniform distributions by volume and fractal models. They then make it possible to focus the estimates of packing density on reference PSDs: the century-old power-law of Fuller & Thompson (FT) and the Caquot’s distribution for concrete, the “well-graded” size distribution in soil classification. The conclusions are as follows. The 3PPM underestimates packing densities due to an overvaluation of the geometric interactions. The CPM overestimates packing densities due to an underestimation of the loosening effect in a certain range of size ratios. The TPDM provides the most homogeneous estimates with prediction error values almost all below 2%. Due to its efficiency, the TPDM is used on model materials whose granular extent varies between 1 and 10,000 to determine the preferred domain of each of the reference PSDs.

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对参考粒度分布的三种堆积密度模型进行评估

摘要在土壤、工业和建筑中经常会遇到多粒径混合物。在许多情况下，必须对粒度分布（PSD）进行优化，以达到一定的堆积密度，而对堆积密度的估算必须尽可能精确。为此，我们根据已公布的球体、角燧石和碎石的 PSD 数据，评估了三种堆积密度模型：可压缩堆积模型（CPM）、三参数颗粒堆积模型（3PPM）和理论堆积密度模型（TPDM）。利用的 PSD 具有互补性：幂律、截断幂律、体积均匀分布和分形模型。通过这些模型，我们可以将堆积密度的估算重点放在参考的 PSD 上：具有百年历史的 Fuller & Thompson（FT）幂律和混凝土的 Caquot 分布，即土壤分类中的 "良好级配 "粒度分布。结论如下由于高估了几何相互作用，3PPM 低估了堆积密度。CPM 高估了堆积密度，原因是低估了一定粒度比范围内的松散效应。TPDM 提供的估计值最为均匀，预测误差值几乎都低于 2%。由于其高效性，TPDM 被用于粒度范围在 1 到 10,000 之间的模型材料，以确定每种参考 PSD 的首选域。

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来源期刊

Granular Matter Materials Science-General Materials Science

CiteScore

4.60

自引率

8.30%

发文量

审稿时长

6 months

期刊介绍： Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science. These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations. >> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa. The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.