abstract: We consider a variational model for damage proposed by Francfort and Marigo. This energy based model is nonconvex and in the minimization procedure microstructures can be produced. A relaxed incremental problem that accounts for irreversibility can be defined and, by means of time discretization, a relaxed quasi-static evolution can be obtained. We give an alternative model for damage based on a threshold criterion. We prove that an 'energy based' solution is also a 'threshold' solution. As a byproduct we also obtain that local minimizers for the energy based model are actually global minimizers.