In this work, we propose a constitutive model for the representation of thermal ageing phenomena in a butadiene rubber filled with carbon blacks. This model is based on a thermo-chemo-mechanical framework and takes into account the strong couplings that occur during ageing. This model has been implemented in a multi-fields finite element framework. Based on simple experimental tests, we discuss the identification of material parameters and more particularly the chemo-mechanical coupling term which is identified from inverse finite element simulations.