TRANSITION FROM MICROMECHANICS TO COMPUTATIONALLY EFFICIENT PHENOMENOLOGY - CARBON-BLACK FILLED RUBBERS INCORPORATING MULLINS EFFECT

IN THIS work a previously proposed micro-mechanical continuum damage model for carbon black filled rubbers exhibiting Mullins' effect is developed into a phenomenological model. gives nearly the same agreement with experimental data as the fully micro-mechanical model but, more importantly, it is computationally efficient, unlike the fully micro-mechanical model. The derivation of the model follows from a few key observations about the fully micro-mechanical model along with a systematic application of the principle of maximum dissipation. Comparisons with experimental data are presented, and finite-element solutions to boundary value problems are shown.