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This paper introduces the method to calculating fractal dimension of aggregate. Analyze the fractal character of asphalt mixture aggregate. For dense-graded aggregate, the distribution of particles has one fractal model. But for gap-graded aggregate, the distribution of particles has two different multi-fractal models. Adopt Dc (fractal dimension of coarse aggregate) and Df (fractal dimension of fine aggregate) as the indexes to describe the fractal characters of asphalt mixture aggregate. Fractal gradation theory is developed to calculate the amount of material in the system finer than size “r”. This theory can be used for asphalt mixture aggregate gradation design not only for dense-graded aggregate, but also for gap-graded aggregate. Analyze the relationship between the fractal gradation theory and other gradation theories. The results showed that the fractal gradation theory can contain the others because fractal is the essence of aggregate. Fractal theory is an interdisciplinary subject which can describe the characteristics of complex structure and space filling ability.Fractal theory has the potential to provide us with a new way to understand and analyze natural spatial phenomena, which are not smooth, but rough and fragmented to self-similarity over a rang of scales. Asphalt mixture is one kind of composite material with complex microstructure. Aggregates have typical self-similarity. This paper studied the gradation theory of asphalt mixture aggregates by using the fractal theory. 1. The calculation method of fractal dimension of asphalt mixture aggregate In 2007, YANG Rui-hua and XU Zhi-hong [3] introduce an approach to calculating fractal dimension of dense-graded aggregate:

Gradation theory of asphalt mixture aggregate based on fractal theory