Dynamic Mechanical Properties of Soil Based on Fractional-Order Differential Theory

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.