We present results of atomistic simulations of a new model of a magnetic
amorphous solid subjected to external mechanical strains and magnetic fields.
The model employed offers new perspectives on important effects like Barkhausen
noise and magnetostriction. It is shown that the plastic response in such
systems exhibit singularities characterized by unexpected exponents requiring
careful theoretical reasoning. The spatial structure of the plastic events
requires a new coarse grained elasto-magnetic theory which is provided here