On some viscoelastic problems with memory in time-dependent domains

This thesis is devoted to the study of some dynamic viscoelastic models with memory in time-dependent domains. In the first chapter we consider a domain with prescribed time dependent cracks, while in the second chapter also the cracks have to be determined. In the third chapter we regard the same viscoelastic material with memory in the contest of a one-dimensional debonding problem, with assigned debonding front.