Evaluation of anisotropic yield functions characterized by uni-axial, in-plane bi-axial and plane strain experiments.

Abstract

The Limiting Dome Height (LDH) formability test was evaluated numerically using the finite element analysis and various constitutive models for a DP590 sheet steel sample. Three yield functions, von Mises, Hill's 1948 and Yld2000-2d were used to examine the effect of the yield function on the formability simulation results. The parameters of the two anisotropic yield functions were determined from different experimental tests. For Hill's 1948 model, the anisotropy coefficients were obtained either from the yield stresses or r-values measured in different material directions. The anisotropy coefficients of Yld2000-2d were determined from the conventional uniaxial test-based data and the stresses measured from in-plane biaxial testing. For the hardening behavior, the stress-strain curves were measured using uniaxial tension and balanced biaxial tension tests. The constitutive models were implemented through the user material subroutine in the FE software, ABAQUS. The evaluation was performed by comparing predicted and experimental punch load-displacement curves and sheet thickness variations after the LDH testing. The results for this particular example showed that the non-quadratic yield function and the hardening curve characterized by the biaxial stress state lead to improved predictions of the LDH test.