A stochastic visco-elastoplastic constitutive model of crumb rubber modified asphalt mastic

In order to describe the random distribution law of mechanical properties of asphalt mixture, the Schapery nonlinear model and modified Schawartz model are employed to describe the viscoelastic and viscoplastic deformation respectively. A series of creep tests of multiple crumb rubber asphalt sand samples were carried out to determine the parameters samples. Based on the statistical analysis, the random parameter is determined and the normal distribution is used to describe the distribution law of the parameter to determine the random constitutive model. Finally, a random loading experiment was carried out to predict and verify the proposed model. The results show that the proposed the model parameter is more representative and can predict the deformation range of crumb rubber asphalt sand under other stress loading history. The proposed model can reflect the randomness of mechanical behavior and the dispersion of the material addtionally.