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The rheology of suspensions of non-Brownian, soft, and frictionless spheresis studied across jamming but also across the viscous and inertial regimesusing a custom pressure- and volume-imposed rheometer. Using pressure-imposedrheometry, we show that the usual granular rheology found for suspensions ofhard spheres can be generalized to a soft granular rheology by renormalizingthe critical volume fraction and friction coefficient to pressure-dependentvalues and using the addition of stress scales. Using volume-imposed rheometry,we find same critical rheological behavior around jamming across flow regimeswith same power laws of the distance to jamming as those found for softcolloids when using again stress additivity. These results support theconclusion that suspensions of soft particles across flow regimes can bedescribed by a common framework around the jamming transition.

Rheology of suspensions of non-Brownian soft spheres across the jamming and viscous-to-inertial transitions