  We perform the discrete-to-continuum limit passage for a microscopic model
describing the time evolution of dislocations in a one dimensional setting.
This answers the related open question raised by Geers et al. in [GPPS13]. The
proof of the upscaling procedure (i.e. the discrete-to-continuum passage)
relies on the gradient flow structure of both the discrete and continuous
energies of dislocations set in a suitable evolutionary variational inequality
framework. Moreover, the convexity and $\Gamma$-convergence of the respective
energies are properties of paramount importance for our arguments.
