| Abstract: | The paper investigates the incipience of shear band with an incrementally non‐linear constitutive equation. Necessary conditions for the emergence of shear band are derived. The lower bound solution is obtained by taking the strain rate inside and outside the shear band into consideration. Numerical results of localized bifurcation for general stress and strain are presented and compared with experiments. In the principal stress space, the stresses at the onset of shear band form a surface, which is partially enclosed by the failure surface for homogeneous straining. The significance of the analysis for identification of the material parameters and verification of the constitutive model against experiments is discussed. Copyright © 2000 John Wiley & Sons, Ltd. |
