## Journal of Central South University

 第44卷    第9期    总第229期    2013年9月

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(1. 广东工业大学 土木与交通工程学院，广东 广州，510006；
2. 华南理工大学 土木与交通学院，广东 广州，510640
)

Dynamic viscoelastic behavior of asphalt mixtures based on fractional derivative

1. School of Civil and Transportation Engineering, Guangdong University of Technology, Guangzhou 510006, China;
2. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China

Abstract:In order to describe the dynamic viscoelastic behavior of asphalt mixtures, the dynamic mechanical test analysis of three asphalt mixtures was performed. Dynamic creep tests and dynamic frequency sweep tests of asphalt mixtures were carried out with fractional derivative Burgers model and the fractional derivative Maxwell model based on the theory of the fractional derivative constitutive model and the classical viscoelastic model (Burgers model and generalized Maxwell model). The two kinds of constitutive equations were compared based on the fitting results. The results show that the classical viscoelastic model is unsuitable to describe the dynamic performance of the asphalt mixtures. Burgers model can fit the dynamic creep curve of asphalt mixtures except for the beginning and end of deviation in creep, and the generalized Maxwell model can fit the curve on dynamic modulus of asphalt mixtures at different frequencies well except for both ends. However, the fractional derivative Burgers model can more accurately describe the dynamic creep curves of the asphalt mixture than the Burgers model, the fractional derivative Maxwell model fits better than the generalized Maxwell model, and the fitting parameters of fractional derivative Maxwell model have physical significance.

Key words: asphalt mixtures; fractional derivatives; dynamic viscoelastic behavior; constitutive relation; rheological model

 中南大学学报（自然科学版） ISSN 1672-7207 CN 43-1426/NZDXZAC 中南大学学报（英文版） ISSN 2095-2899 CN 43-1516/TBJCSTFT