Modelling and simulation of shear jamming in dense suspensions

Shear jammed suspensions respond elastically to deformations and are able to support a stress in the absence of a background flow velocity gradient [1], features absent from standard Wyart-Cates Theory [2]. Experiments on shear jamming in a Couette cell show that this proceeds via a jamming front that advances from the inner boundary of the cell, which has an initially-higher shear rate, to the outer boundary of the cell, with an initially-lower shear rate. In this talk, we present a minimal extension of Wyart-Cates Theory to a dynamical one-dimensional theory (similar to [3]), capable of capturing these features of a shear jamming suspension in a Couette cell. We compare the predictions of our model with results from particle simulations of shear jamming in this geometry. [1] I. R. Peters, S. Majumdar, and H. M. Jaeger, Nature 532, 214 (2016). [2] M. Wyart and M. E. Cates, Phys. Rev. Lett. 112, 098302 (2014). [3] R. N. Chacko, R. Mari, M. E. Cates, and S. M. Fielding, Phys. Rev. Lett. 121, 108003 (2018).