粗粒土类别的分形图解

基于分形理论,同时考虑粗粒土的随机性、非规则性,应用随机模糊方法研究了粗粒土的粒度分布分维,讨论了粒度分布分维与粗粒土的均一性、粗度和级配的相互关系。研究发现粗粒土是分形粒子,具有分形效应,细粒土是以分形分布的方式充填到粗粒土之间的,粗粒土组成的结构为分形结构,据此给出了5种粗粒土的典型分形图形并揭示了其特有的性质。结果表明,粒度分布分维是刻画粗粒土特征的有效参数,应用该参数可以控制集料颗粒粒径,达到优化级配、增大集料密度的目的。最后给出了应用粒度分布分维控制颗粒粒径的理想分形级配图形。

Fractal graphic of sands categories

Based on the fractal theory and the data from laboratory test, the fractal effect of sands was studied. The random-fuzzy method was used for calculating fractal dimension of grain size distribution by considering the randomness and the irregularity. The relations among fractal dimension, homogeneity, coarseness and gradation of sands were discussed. It is pointed that the coarse-grained soil is a fractal particle and has fractal effect, fine-grained soil is filled in the porosity of coarse-grained soil by the mode of fractal distribution, the structure of coarse-grained soil is fractal structure. Five typical fractal graphic of coarse-grained soil were presented, and the special quality of coarse-grained soil was revealed. The results indicate that the fractal dimension of grain size distribution is effective parameter for coarse-grained soil characteristic, this parameter can be used to control grain diameter. So the grain-size distribution can be optimized to increase density of coarse-grained soil. The ideal fractal graphic of grain-size distribution was given to describe grain diameter by fractal dimension of grain size distribution.