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.
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Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 6, p. 7, November-December, 2018.
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Zhang, Q., Zhang, Q. & Ji, M. Dynamic Mechanical Properties of Soil Based on Fractional-Order Differential Theory. Soil Mech Found Eng 55, 366–373 (2019). https://doi.org/10.1007/s11204-019-09550-5
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DOI: https://doi.org/10.1007/s11204-019-09550-5