Global solution to a Frémond model for shape memory alloys with thermal memory

Study of a mathematical model for analyzing the thermomechanical behaviour of metallic alloys exhibiting shape memory effect was carried out. The model assumed diffusive effects for phase proportions and the heat flux was supposed to satisfy a relaxed version of the Fourier law. The total free energy associated with the state of the system was found to be a weighted sum of the specific free energies of martensitic and austenitic variants and of a thermally coupled indicator function.