  The rheology of suspensions of non-Brownian soft spheres is studied across
jamming but also across the viscous and inertial regimes using a custom
pressure- and volume-imposed rheometer. The study shows that the granular
rheology found for suspensions of hard spheres can be extended to a soft
granular rheology (SGranR) by renormalizing the critical volume fraction and
friction coefficient to pressure-dependent values and using the addition of the
viscous and inertial stress scales. This SGranR encompasses rheological
behaviors on both sides of the jamming transition, resulting in an approximate
collapse of the rheological data into two branches when scaled with the
distance to jamming, as observed for soft colloids. This research suggests that
suspensions of soft particles across flow regimes can be described by a unified
SGranR framework around the jamming transition.
