辽河特细砂混凝土骨料的分形研究

Fractal Research on Super-fine Sand Concrete Aggregate of Liao River

分形几何是根据事物局部形态与整体形态间的自相似关系,针对无特征尺寸的不规则图形而提出的几何问题研究理论。运用分形几何理论对辽河特细砂混凝土骨料进行研究,得出了辽河特细砂质量分布与分形维数的关系;同时得到了特细砂骨料级配孔隙率与体积分形之间的联系,求出了特细砂体积分形维数。确定了分形维数跟颗粒粒径大小之间的关系,抗压强度与分形维数的关系,从理论上得出特细砂混凝土抗压强度要小于普通砂混凝土。又与试验相结合,得出不同配合比配制的不同强度等级的特细砂混凝土,其骨料级配分形维数是不同的。

Fractal geometry is the study of geometric problems based on the theory of self-similarity relation between local and overall shape of things,for irregular graphics without feature size. The research was focused on the super-fine sand concrete aggregate of Liao River based on the fractal geometry,obtained the relation between superfine sand mass distribution of Liao River and fractal dimension,The link between the porosity of super-fine sand aggregate gradation and volume fractal was obtained at the same time,and the volume fractal dimension of super-fine sand was obtained too. The relationship between fractal dimension and particle size and the relationship between compressive strength and fractal dimension were ascertained,so that proved that the compressive strength of superfine sand concrete is less than the ordinary from theory. Also combined with experiment,ascertained that the aggregate gradation fractal dimension of super-fine sand with different mix proportion and intensity levels was different.