Boundary Condition Disturbed in Shear Banding Analysis by Rudnicki and Rice for Pressure Sensitive Materials

Abstract

Rudnicki and Rice invistigated the localization of deformation into a shear band resulted from an instability in constitutive description of homogeneous deformation in pressure sensitive dilatant materials. Their analytical method has been used very often for the prediction of shear banding in soil. In their analysis the equilibrium is considered between multiple solutions in the perpendicular direction to a shear band, but the essential requirement is ignored that these multiple solutions are under identical boundary condition. This paper shows concretely the disturbance of boundary condition appeared in the onset of instability in their method. This disturbance results in the fact that their method cannot give useful prediction for ductile fracture in soil.