混凝土集料级配与分形

Gradings of the Concrete Aggregates and Fractals

若尺度范围足够宽，分形维数D＜3时，破碎体分形与指数α＜3的筛下幂式一致；D＞3时，破碎体分形符合筛上幂型分布。统计分析表明，建筑用砂符合D＞3的分形，指数β很好地反映了砂的级配与粗细，可作为评估指标使用；碎石集料分形符合筛下幂型分布。

This paper gives a demonstration that, if the size range is wide enough, the fragmentation fractal with dimension D<3 is consistent with the power distribution of percentages passing providing its exponential α<3, and for D>3, the fraclal is consistent with the power distribution retained. Statistic data also show that the sand for building obeys the fractals of D>3, and the exponential β perfectly reflects both granularity and grading of the sand so that it can serve as an evaluation index; crushed stone obeys the power distribution passing.