3-D FEM Analysis of Forming Operations for Planar Anisotropic Sheet Panels

Abstract

Though a large number of study cases about FEM have been published in the last 20 years, finite element formulations for planar anisotropic sheet metals have seldom been documented. Lee and Kobayashi[1], Doege and Seydel[2], and Ohwue et al.[3], introduced Hill’s quadratic anisotropic yield criterion[4] in their formulations. As Hosford[5–6] pointed out, however, Hill’s quadratic yield criterion can not properly describe the behavior of FCC metals. Recently, research on non-quadratic anisotropic yield critera which describe the material behavior of FCC metals were presented by Hill[7] and Barlat[8]. Barlat’s yield criterion[13] was proposed in the stress field with a six-component yield function. It was verified by Chung and Shah[9], who analyzed a cup drawing operation using the ABAQUS/implicit code and compared predictions with measurements.