Earing Prediction in Cup Drawing Based on Non-Associated Flow Rule

Abstract

An anisotropic constitutive model based on Non‐Associated Flow Rule (Non‐AFR), which incorporates plane stress yield functions (Hill’s quadratic function and Yld2000‐2d by Barlat et al.), was implemented to finite element codes (ABAQUS, LS‐DYNA 3D) by using User Material options. By using Non‐AFR, Yld2000‐2d is capable of predicting more than four ears which is possible only with Yld2004 by Barlat et al. when used with an Associated Flow Rule. A short review of the Non‐Associated Flow Rule was provided. Simulation of the cup drawing process for a rigid container sheet alloy using mini‐die geometry was performed to show the cup height profile (earing profile) obtained from Non‐AFR. The simulation results were compared with experimental earing profile data and it was shown that the simulations using Yld2000‐2d and the Non‐AFR led to the excellent prediction of the earing profile.