  Using numerical simulations, we have studied the yielding response, in the
athermal quasi static limit, of a model amorphous material having inclusions in
the form of randomly pinned particles. We show that, with increasing pinning
concentration, the plastic activity becomes more spatially localized, resulting
in smaller stress drops, and corresponding increase in the magnitude of strain
where yielding occurs. We demonstrate that, unlike the spatially heterogeneous
and avalanche led yielding in the case of the unpinned glass, for the case of
large pinning concentration, yielding takes place via a spatially homogeneous
proliferation of localized events.
