Soft Granular Particles Sheared at a Controlled Volume: Rate-dependent dynamics and the solid-fluid transition

Abstract

We study the responses of fluid-immersed soft hydrogel spheres that are sheared under controlled volume fractions. Slippery, deformable particles along with the density-matched interstitial fluid are sandwiched between two opposing rough cones, allowing studies for a wide range of volume fraction $\phi$ both above and below the jamming of granular suspension. We utilize sudden cessations of shearing, accompanied by refraction-matched internal imaging, to supplement the conventional flow-curve measurements. At sufficiently high volume fractions, the settling of particles after the cessations exhibits a continuous yet distinct transition over the change of shear rate. Such changes back out the qualitative difference in the state of flowing prior to the cessations: the quasi-static yielding of a tightly packed network, as opposed to the rapid sliding of particles mediated by the interstitial fluid whose dynamics depends on the driving rate. In addition, we determine the solid-fluid transition using two independent methods: the extrapolation of stress residues and the estimated yield stress from high values of $\phi$, and the settling of particles upon shear cessations as $\phi$ goes across the transition. We also verify the power law on values of characteristic stress with respect to the distance from jamming $\phi - \phi_c$, with an exponent close to 2. These results demonstrate a multitude of relaxation timescales behind the dynamics of soft particles, and provoke questions on how we extend existing paradigms on the flow of a densely packed system when the softness is actively involved.