Abstract Although several empirical and analytical models are available to predict the threshold fines content (fthr) for sand-silt mixtures, none of them considers the combined effects of particle shape and size. In view of this, the current paper proposes a method to estimate the threshold fines content and the minimum void ratios for sand-silt mixtures at various contents of non-cohesive fines incorporating both parameters. The results of laboratory experiments along with existing data from literature, both for combinations of host and fine materials with various shapes and sizes were used in the analysis. The particle shape is represented through the particle regularity, ρ for both host and fine materials whereas the size is represented through the particle size ratio, χ . Empirical relations for the threshold fines content and the minimum void ratios at different fines contents were formulated, and proven to perform satisfactorily well over a wide range of particle shapes and sizes. In addition, the new empirical equations were validated by means of a comparison with existing results from literature.

中文翻译：

---

颗粒形状和尺寸对含非塑性细粉砂的临界细粉含量和极限指数孔隙率的影响

摘要 虽然有几种经验和分析模型可用于预测砂粉混合物的阈值细粉含量 (fthr)，但它们都没有考虑颗粒形状和尺寸的综合影响。有鉴于此，本文提出了一种结合这两个参数来估算不同非粘性细粉含量下砂粉混合物的阈值细粉含量和最小孔隙比的方法。在分析中使用了实验室实验的结果以及来自文献的现有数据，包括具有各种形状和尺寸的主体和精细材料的组合。对于主体材料和精细材料，颗粒形状通过颗粒规则 ρ 表示，而尺寸通过颗粒尺寸比 χ 表示。制定了阈值细粉含量和不同细粉含量下的最小空隙率的经验关系，并证明在广泛的颗粒形状和尺寸范围内表现令人满意。此外，通过与现有文献结果进行比较，验证了新的经验方程。