  We perform large scale simulations of a two dimensional lattice model for
amorphous plasticity with random local yield stresses and long-range
quadrupolar elastic interactions. We show that as the external stress increases
towards the yielding phase transition, the scaling behavior of the avalanches
crosses over from mean-field theory to a different universality class. This
behavior is associated with strain localization, which significantly depends on
the short-range properties of the interaction kernel.
