An analytical model for dynamic response of geosynthetic reinforced embankment system under traffic load

To make a more accurate prediction for the dynamic response of geosynthetic reinforced embankment (GRE) system under traffic load, an analytical model is developed based on the theory of elastodynamics, and the analytical solution of this model is also presented. In this new model, the pavement structure is simplified as an infinitely long Euler-Bernoulli beam, while the embankment fill, the foundation soil and the geosynthetic reinforced cushion are described by the theory of elastodynamics, which is quite different from the existing GRE models. Furthermore, the reinforced layer is modeled as a transversely isotropic layer, so that the anisotropic characteristic of the reinforced layer could be taken into consideration. The model is coupled through the appropriate boundary and interface conditions. After that, the model is solved analytically based on the integral transform technique and the theory of differential equations. The parametric studies show that the load velocity has a significant influence on the response of the system. A critical velocity is found and as the load velocity approaches this point, the response of the system dramatically increases. Additionally, the influence of the transversely isotropic property, as well as the thickness of the reinforced layer are also investigated.