  Using discrete element simulations, we demonstrate that critical behavior for
yielding in soft disk and sphere packings is independent of distance to
isostaticity over a wide range of dimensionless pressures. Jammed states are
explored via quasistatic shear at fixed pressure, and the statistics of the
dimensionless shear stress $\mu$ of these states obey a scaling description
with diverging length scale $\xi \propto |\mu-\mu_c|^{-\nu}$. The critical
scaling functions and values of the scaling exponents are nearly independent of
distance to isostaticity despite the large range of pressures studied. Our
results demonstrate that yielding of jammed systems represents a distinct
nonequilibrium critical transition from the isostatic critical transition which
has been demonstrated by previous studies. Our results may also be useful in
deriving nonlocal rheological descriptions of granular materials, foams,
emulsions, and other soft particulate materials.
