Study on gradation fractal cartesian coordinate system of asphalt mixture

In order to explore intrinsic relation of continuous, interlocked-dense and gap gradation, this paper studied them by fractal regression analysis, by which a gradation distribution Cartesian coordinate system was established and slope of the gradation was proposed at the same time. In addition, this study adopted gradation fractal Cartesian coordinate system to analysis the internal relations of continuous, interlocked-dense and gap gradation, at the same time verified and analyzed the correlation between the slope of the gradation and asphalt mixture gradation by using reference experimental data. The results show that: the gradation range given by specification can be approximated by a line segment, and the slope of the line can quantitatively reflect the relative thickness of coarse and fine aggregate of asphalt mixture; the gradation range given by specification possess a small proportion in the gradation fractal Cartesian coordinate system, which can be further optimized, and interlocked-dense asphalt mixture is a transitional form of continuous gradation and gap one; for the SAC asphalt mixture gradation, gradation slope has correlation with the formation of gradation skeleton; the Suitable fractal evaluation model for continuous, gap and interlocked-dense gradation was proposed finally. Thereby, the gradation fractal Cartesian coordinate system can not only reflect the relation of continuous, interlocked-dense and gap gradation, but also make it possible that the gradation distribution range in the specification can be expressed in function.