On a new model for fatigue and phase transition in an oscillating elastoplastic plate

We consider a thermodynamic model for fatigue accumulation in an oscillating elastoplastic plate based on the two hypotheses that the fatigue accumulation rate is proportional to the plastic part of the dissipation rate and that the material can partially recover by the effect of melting. For the full model, consisting of the momentum and energy balances, an evolution equation for the fatigue rate and a differential inclusion for the phase dynamics, we prove existence of a solution in the given time interval.