沥青混合料分形级配理论

Fractal Gradation Theory of Asphalt Mixture

介绍沥青混合料集料粒径分布分形维数的计算方法并分析其分形特征.对于连续级配,其集料粒径分布为一重分形分布;对于间断级配,其集料粒径分布为二重分形分布.采用粗集料粒径分布分形维数Dc和细集料粒径分布分形维数Df作为描述集料级配分形特点的指标.在此基础上,提出分形级配理论的计算式,该式不仅可以计算连续级配,还可以计算间断级配.研究分形级配理论与现有主要级配设计理论之间的关系,结果表明,分形级配理论可以包括现有的几种主要级配计算方法,这主要由于分形是集料级配的本质.

This paper presents an introduction to the approach to the calculation of fractal dimension of grain size distribution and also an analysis of the fraetal characteristics of asphalt mixture aggregate. The fractal of dense-graded aggregate is one-dimensional, but the fractal of gap-graded aggregate is two-dimensional. Dc（fractal dimension of coarse aggregate） and Dr（dimension of fine aggregate） are used as the indexes to describe the fractal characteristics of asphalt mixture aggregate. Additionally, the fractal gradation theory is put forward, not only used for the design of dense-graded aggregate, but also for gap-graded aggregate. An analysis is made of the relationship between the fractal gradation theory and other gradation theories. The results show that the fractal gradation theory covers the existing gradation methods. The cause lies in the fact that fractal is the essence of aggregate.