Application of Fractal Theory in Aggregate Gradation Research

Abstract:

The paper presents the fractal dimension formula of distribution of asphalt mixture aggregate diameter by the deducing mass fractal characteristics function. Taking AC-20 and SMA-20 as examples, selected 6 groups of representative grading curves within the grading envelope proposed by the present specification, and calculated their fractal dimensions. The asphalt mixture gradation has fractal dimension D (D∈(1,3)), and the fractal of continuous gradation is single while the fractal of gap-gradation shows multi-fractal with 4.75 as the dividing point. Fractal dimension of aggregate gradation of asphalt mixture reflect the structure characteristics of aggregate distribution, that is, finer is aggregate, bigger is the fractal dimension.

• Periodical: Applied Mechanics and Materials (Volumes 204-208)
• Pages: 1923-1928
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.204-208.1923
• Online since: October 2012
• Authors: Bo Tan, Rui Hua Yang, Yan Ting Lai
• Keywords: Aggregate, Asphalt Mixture (AC), Fractal, Grading, Road Engineering

References

[1] Campbell D K: Los Alamos Science. Vol.15(1987), p.218

[2] Sunxia ,Wu ziqin and Huangyun., Principe and Application of Fractal Hefei fromUniversity of Science and Technology of China Press,2003 (In Chinese)

[3] Fengrui , Shi Changxu, Liu Zhiguo : Introduction to Material Science,Beijing, from,Chemistry Industry Press,2002.4-6 (In Chinese)

[4] Ideal fractal : physical ,from Long Qiyi ,Long Qiwei ,Mu Zaiqin,(1994), pp.158-164

[5] Evaluation of topologic and fractal characteristics of concrete[J] from Tangming, Ba Hengjing,Journal of HarbinUniversity of Civil Engineering and Architecture(2002),pp.86-89 (In Chinese)

[6] Fractal Zeng Wenqu :Theory and Fractal Computer Simulation. Shenyang , from Zeng Wenqu, Press of Northeastern University( 1993), pp.213-245 (In Chinese)