A thermodynamic framework for non-isothermal phenomenological models of isotropic Mullins effect

The Mullins effect is a common name for family of intriguing inelastic responses various solid materials, in particular filled rubbers. Given the importance effect, there have been many attempts to develop mathematical models describing effect. However, most available focus exclusively on mechanical response and are restricted idealized isothermal setting. We lift restriction processes, we propose full thermodynamic framework class phenomenological In particular, identify energy storage mechanisms (Helmholtz free energy) entropy production that level stress–strain relation lead or with permanent strain. constructed within proposed can be used modelling fully coupled thermo-mechanical guaranteed consistent laws thermodynamics.