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We investigate the rigidity transition associated with shear jamming infrictionless, as well as frictional, disk packings in the quasi-static regimeand at low shear rates. For frictionless disks, the transition is underquasistatic shear is discontinuous, with an instantaneous emergence of a systemspanning rigid cluster at the jamming transition. For frictional systems, thetransition appears continuous for finite shear rates, but becomes sharper forlower shear rates. In the quasi-static limit, it is discontinuous as in thefrictionless case. Thus, our results show that the rigidity transitionassociated with shear jamming is discontinuous, as demonstrated in a past forisotropic jamming of frictionless particles, and therefore a unifying featureof the jamming transition in general.

Discontinuous rigidity transition associated with shear jamming in granular simulations