Abstract This paper focuses on investigating the dynamic behavior of prestressed concrete pavement on a fractional poroviscoelastic subgrade under moving loads. First, the governing equations of prestressed concrete pavement are deduced based on the isotropic Kirchhoff thin plate theory by considering the prestressing effect. Based on the elastic–viscoelastic correspondence principle, the dynamic equations describing a fractional poroviscoelastic subgrade are obtained by applying the Biot's theory and fractional calculus theory. Subsequently, the flexibility coefficient of the fractional poroviscoelastic subgrade is derived in the wavenumber domain using the Fourier transform combined with the extended precise integration method. Based on the flexibility coefficient, the physical domain response of the pavement–subgrade system is determined through the incorporation of contact conditions and the application of numerical inverse transform. Finally, the effects of damping type, relaxation time, prestressing force, loading frequency, and the pavement–subgrade modulus ratio are investigated following the validation of the theoretical and numerical approaches. The results demonstrate that neglecting subgrade damping leads to a significant overestimation of pavement deflection, whereas compressive prestressing effectively reduces tensile stresses at the pavement bottom, thereby mitigating crack initiation. In addition, the pavement–subgrade modulus ratio is shown to exert a pronounced influence on the dynamic response, with higher ratios resulting in larger deflections and internal forces.
Ai et al. (Sun,) studied this question.