In this study, a constitutive model is proposed to reproduce the Payne effect in filled rubber by separating the linear viscoelastic response into two Maxwell-type components: a large-strain viscoelastic model based on the Simo framework and a viscoplastic model based on the micro-sphere approach. The model parameters are identified from dynamic mechanical analysis (DMA) tests, including frequency–temperature sweep and strain amplitude–mean strain sweep. Using parameters calibrated only at 25 °C and 20 Hz, the model accurately predicts strain amplitude and mean strain dependence under different temperatures and frequencies. Despite its simple structure, the proposed model achieves both high predictive capability and thermodynamic consistency with computational efficiency. Finite element method (FEM) implementation examples will be presented during the conference.
Fujikawa et al. (Wed,) studied this question.