Dynamic interaction between continuously reinforced concrete pavement and fractional poroviscoelastic subgrade due to moving loading

Abstract

This study investigates the dynamic interaction between continuously reinforced concrete pavement (CRCP) and fractional poroviscoelastic subgrade due to moving loading. The viscosity of subgrade encompasses both the flow-independent viscosity of soil skeleton and the flow-dependent viscosity between soil and water. Based on the composite material mechanics and Kirchhoff thin plate theory, the CRCP was modeled as a composite laminated plate, and then the internal force-strain relationship of CRCP was derived. The dynamic governing equation of CRCP was established via the D’Alembert’s principle, and the displacement of CRCP in the wavenumber domain was obtained by the use of double Fourier integral transform. Finally, based on the extended precise integration solution for fractional poroviscoelastic layered media and the contact conditions between the subgrade and pavement, the solution of CRCP-subgrade system in the physical domain was acquired by numerical inverse transform. After validating the presented method and the corresponding computational program, the reinforcement ratio and load speed, fractional order, CRCP-subgrade modulus ratio, and pavement thickness on the dynamic response of CRCP-subgrade system were further studied.