Application of generalized Kelvin model in asphalt pavement

To obtain the solution of the generalized viscoelastic constitutive equation, the generalized Kelvin model is selected as the constitutive model of asphalt mixture and the mechanical responses of this model is analyzed. First, the relationship between the strain and the stress of the one-dimensional generalized Kelvin model of asphalt mixture under the cyclic uniaxial haversine load is deduced and a new method to obtain the material parameters under this condition is proposed. Then, the one-dimensional generalized Kelvin model is generalized to the three-dimensional spatial domain and the corresponding finite-difference algorithm is presented. Finally, the validity of the proposed three-dimensional generalized Kelvin model and the finite-difference algorithm is verified, and the feasibility of the generalized Kelvin model in asphalt pavement is analyzed. The results show that by using the proposed parameter acquisition method and the calculation and generalization of the constitutive model, the generalized Kelvin model can be applied in asphalt pavement. The generalized Kelvin model can be used correctively and effectively in the calculation of the viscoelastic response of the asphalt pavement.