Abstract

Strong continuous and discontinuous shear thickening (CST and DST) have been shown to be rationalized by the formation of a network of frictional contacts. This continuously evolving network is investigated here using k-core analysis of configurations obtained based on a discrete-particle simulation method. The approach identifies clusters in which each particle has at least k contacts with other particles in the same cluster. We find that the k-core structures display universal behavior as a function of contact number except at the shear thickening transition, where there is a sharp increase in the stress carried by the 3-cores in DST, with this increase largely absent for CST.

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