A fully objective and thermodynamically consistent constitutive equation that models the Payne effect and its temperature dependence is presented. It is based on a Helmholtz-potential–based thermodynamic framework and the notion of evolving multiple natural configurations. The model uses four additional parameters than those necessary to describe the viscoelasticity at small deformations to capture the Payne effect of the material. In addition, it uses only one additional parameter to capture the temperature dependence of the mechanical behavior. The model was shown to describe experimental results of the Payne effect reasonably well over a temperature range of 20 to 100 C.