Singular behavior of the stresses in the limit of random close packing in collisional, simple shearing flows of frictionless spheres

As random close packing is approached in a granular medium of frictionless spheres, the pressure, shear stress, and second normal stress become singular with exponents 5/2, 5/2, and 7/4, as predicted by a kinetic theory and confirmed by prior discrete element modeling simulations.