Comparison Between Numerical and Analytical Predictions of Shear Localization of Sheets Subjected to Biaxial Tension

Abstract

The classical J2-Flow(J2F) rule results in unrealistic critical loads when applied to plastic bifurcation problems in which stress paths change their directions abruptly at critical points. This unrealistic response is due to the property of the J2F rule that the direction of plastic strain increments is independent of the direction of stress increments. Most of constitutive rules proposed in the past are given through an attempt to loosen the severe restriction on the direction of plastic strain increments in the J2F rule[1,2].