Dynamic Mechanical Properties of Soil Based on Fractional-Order Differential Theory
- Authors: Zhang Q.1, Zhang Q.1, Ji M.1
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Affiliations:
- Key Laboratory of Road Construction Technology and Equipment, Ministry of Education of China, Chang’an University
- Issue: Vol 55, No 6 (2019)
- Pages: 366-373
- Section: Soil Mechanics
- URL: https://journals.rcsi.science/0038-0741/article/view/244199
- DOI: https://doi.org/10.1007/s11204-019-09550-5
- ID: 244199
Cite item
Abstract
In this paper, a new viscoelastic constitutive model is proposed based on fractional-order differential theory, replacing the Newtonian dashpot of the classical Kelvin-Voigt model with the Abel dashpot. The analytic solutions for the fractional-order three-element model and classical three-element model are presented. The results estimated by the fractionalorder three-element model correlate better with experimental data than those of the classical three-element model. The parameters of the fractional-order three-element model were further optimized using the nonlinear least squares method. The proposed fractional-order three element model was able to accurately describe the viscoelastic dynamic mechanical properties of soil during vibratory compaction.
About the authors
Qingzhe Zhang
Key Laboratory of Road Construction Technology and Equipment, Ministry of Education of China, Chang’an University
Author for correspondence.
Email: zqzh@chd.edu.cn
China, Xi’an
Qian Zhang
Key Laboratory of Road Construction Technology and Equipment, Ministry of Education of China, Chang’an University
Email: zqzh@chd.edu.cn
China, Xi’an
Meng Ji
Key Laboratory of Road Construction Technology and Equipment, Ministry of Education of China, Chang’an University
Email: zqzh@chd.edu.cn
China, Xi’an