基于线性拟合的颗粒材料破碎状态表征

在荷载等因素作用下发生颗粒破碎是岩土材料的固有属性，选择合适的颗粒破碎状态表征指标是颗粒破碎问题研究中首先要解决的问题。基于颗粒破碎导致细颗粒含量增加，级配曲线抬升并趋向于分形的客观事实，提出了利用级配曲线的拟合直线的斜率和相关系数的变化规律描述颗粒破碎状态及其演化的新方法。在该基础上，提出了表征颗粒破碎状态的破碎分形指数及破碎分形相关性指数的概念，阐述了二者随颗粒破碎的发展规律。与试验结果对比表明，提出的状态指标与试验结果能够很好的吻合，颗粒破碎状态存在明确的对应关系，能够表征颗粒破碎难易程度及其发展趋势，为研究颗粒破碎问题提供了新思路。

A new method for characterizing particle crushing state of granular materials based on linear fitting

Particle crushing after impacted by loading or other mechanical factors is the intrinsic property of geotechnical material, so proposing the reasonable parameters to describe the crushing state is the primary step to study particle crushing. Considering the fact that the proportion of smaller diameter particles increases with the particle crushing and there is a tendency for the grading to become increasingly “self-similar” or “fractal”. This paper proposes a concise method to describe the particle crushing state based on the slope and correlation coefficient of fitting line. On this foundation, the concepts of crushing fractal index(CFI) and crushing fractal correlation index(CFCI) are defined and their development law are both elaborated. Compared with the experimental data, the indexes proposed in this paper are consistent with the data; and an obvious relationship between particle crushing state and the two indexes is existed. Therefore, the CFI and the CFCI can be used to reveal both the degree of particle crushing and the trend of particle crushing development, so as to provide a new approach to study grain breakage problems.