Stress fluctuations in cyclically sheared dense granular materials

Dapeng Bi

Brandeis University, Physics, Waltham, USA

We analyze experimental data from the Behringer lab at Duke University consisting of 2-D jammed configurations created using a cyclic pure shear protocol. We find that the local distributions of stress tensor components are controlled only by the global pressure of the system. These distributions can be collapsed in scaling forms reminiscent of critical scaling, with the global pressure controlling the distance to the critical point. The critical exponent for the local pressure distribution is close to 1 and 0.84 for the local shear distribution. We also study the distribution of local stress tensor major axis orientations. These distributions appear to be independent of the packing fraction, global pressure, and the applied strain. We use this analysis to construct a theory for jammed packings created by shearing.

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