Fractional-order model for temperature-dependent rheological behaviors of polymeric materials

Rheological behaviors of polymeric materials have been observed to be temperature-dependent, which demands considering temperature effects in constitutive models. In this article, a fractional rheological model is developed to describe creep and relaxation behaviors, of which linear criterion between model parameter and temperature is established. Temperature-dependent fractional orders of the model are naturally interpreted by the well-known master curve. Numerous experimental data in a limited range of temperatures are employed to certificate the applicability of the proposed models. Simulation results demonstrate that the models are equipped with a simpler formulation and high fitting accuracy compared with existing models.