Fractional Viscoelastoplastic Model for Permanent Deformation of Basalt Fiber Modified Asphalt Mixture Under Repeated Loading
ZHANG Yongjun1, LUO Wenbo2,3,*
1 College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, Hunan, China 2 School of Civil Engineering, Changsha University, Changsha 410022, China 3 Hunan Key Laboratory of Geomechanics and Engineering Safety, Xiangtan University, Xiangtan 411105, Hunan, China
Abstract: In order to describe the nonlinear viscoelastoplastic mechanical behavior of basalt fiber asphalt mixture under repeated load at high temperature accurately, based on the Nishihara model, a nonlinear fractional viscoelastoplastic creep model was proposed by considering the fractional order derivative viscoplasticity and Rabotnov's damage rate law. According to viscoelastic theory, the permanent deformation model expression of asphalt mixture under haversine load with intermittent time was deduced. Then, based on Levenberg-Marquardt nonlinear least square algorithm, expression of the model was used to fit the repeated loading permanent deformation (RLPD) test data of asphalt mixture with basalt fiber content of 0.2%, 0.3%, 0.4%, 0.5% and without fiber respectively, and thus the parameters of the model were determined. Thereafter, by using the model expression and material parameters, the flow number (FN) and FN index were calculated, and the results were compared with the dynamic modulus and wheel tracking test data at high temperature to study permanent deformation characteristics. The results show that the model can well describe the three-stage permanent deformation characteristics of asphalt mixture with different basalt fiber content under repeated load; the addition of basalt fiber enhanced the high temperature performance of the mixture significantly, and the optimal fiber content was 0.3%; the FN and FN index calculated by the model were strongly correlated with the dynamic modulus and dynamic stability data, which further verified the accuracy of the model. Finally, the correlation between the fractional parameter and the FN or FN index was compared, and the correlation between the fractional parameter and the high temperature performance of asphalt mixture was also briefly discussed.
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2022, Vol. 36 
