Yielding transition of stress controlled granular materials near jamming

In this study, we numerically investigate the yielding behavior of frictional granular materials using stress-controlled simulations. The shear stress is applied to the granular materials, which induces shear deformation. When the applied stress is below the yield stress, the shear strain saturates at a finite value; however, it grows indefinitely over time once the stress exceeds the yield stress. Our numerical results suggest that the characteristic strain required for a mechanically stable state diverges discontinuously at the yielding point. The yielding point depends on the interparticle friction coefficient. We further examine how the characteristic strain depends on the distance from the yielding point, revealing a non-monotonic relationship with the interparticle friction coefficient.