Determination of the critical state line (CSL) is important to characterize engineering properties of granular soils. Grain size distribution (GSD) has a significant influence on the location of CSL. The influence of particle breakage on the CSL is mainly attributed to the change in GSD due to particle breakage. However, GSD has not been properly considered in modeling the CSL with influence of particle breakage. This study aims to propose a quantitative model to determine the CSL considering the effect of GSD. We hypothesize that the change of critical state void ratio with respect to GSD is caused by the same mechanism that influences of the change of minimum void ratio with respect to GSD. Consequently, the particle packing model for minimum void ratio proposed by Chang et al. (2017) is extended to predict critical state void ratio. The developed model is validated by experimental results of CSLs for several types of granular materials. Then the evolution of GSD due to particle breakage is incorporated into the model. The model is further evaluated using the experimental results on rockfill material, which illustrates the applicability of the model in predicting CSL for granular material with particle breakage.

确定临界状态线（CSL）对于表征粒状土壤的工程特性很重要。粒度分布（GSD）对CSL的位置有重要影响。颗粒破碎对CSL的影响主要归因于颗粒破碎导致的GSD变化。但是，在对CSL进行建模时，没有考虑到GSD受到颗粒破裂的影响。这项研究旨在提出一种定量模型，以考虑GSD的影响来确定CSL。我们假设临界状态空隙率相对于GSD的变化是由与最小空隙率相对于GSD的变化影响相同的机制引起的。因此，由Chang等人提出的最小空隙率的颗粒堆积模型。（2017）扩展到预测临界状态空隙率。所开发的模型已通过CSL对几种类型颗粒材料的实验结果验证。然后将由于颗粒破裂而引起的GSD演化纳入模型。使用在堆石料上的实验结果进一步评估了该模型，该结果说明了该模型在预测颗粒破碎的粒状材料的CSL中的适用性。