abstract: In this talk we will present some result concerning the asymptotic behavior of the elastic energy induced by dislocations in a crystal, as the atomic scale tends to zero. The Gamma-limit of such energies will be given by the sum of two terms. The plastic term depends on the dislocation density measure through a 1-homogeneous energy density. The elastic term is quadratically dependent on the strain. The pre-factors of these two terms depend on the asymptotic behavior (as the atomic scale tends to zero) of the number of dislocations present in the crystal.