Fractional differential constitutive model for linear viscoelasticity of asphalt and asphalt mastic

To accurately describe the linear viscoelastic properties of asphalt and asphalt mastic, the authors proposed a fractional differential constitutive model called the generalized fractional differential Zener (GFDZ) model. Then, by means of the GFDZ model, the dynamic and static viscoelastic properties of two kinds of asphalt and two kinds of asphalt mastic were described and predicted. Finally, the GFDZ model was compared with the modified CAM (mCAM) model and 2S2P1D model. The results show that the GFDZ model can simultaneously and accurately characterize the dynamic and static viscoelastic properties of asphalt or asphalt mastic using a set of model parameters. The GFDZ model overcomes the deficiencies of the mCAM model and 2S2P1D model, and provides a reference for the characterization and constitutive description of the linear viscoelastic properties of asphalt and asphalt mastic.