A Gurson Yield Function for Anisotropic Porous Sheet Metals and Its Applications to Failure Prediction of Aluminum Sheets

10.30009/CJM.200303.0009

D.-A. Wang；W. Y. Chien；K. C. Liao；J. Pan；S. C. Tang

Anisotropy ； Porous material ； Sheet forming ； Failure

The Chinese Journal of Mechanics

19卷1期（2003 / 03 / 01）

161 - 168

英文

An approximate anisotropic yield function is presented for anisotropic sheet metals containing spherical voids. Hill's quadratic anisotropic yield function is used to describe the anisotropy of the matrix. The proposed yield function is validated using a three-dimensional finite element analysis of a unit cell model under different straining paths. The results of the finite element computations are shown in good agreement with those based on the yield function with three fitting parameters. For demonstration of applicability, the anisotropic Gurson yield function is adopted in a combined necking and shear localization analysis to model the failure of AA6111 aluminum sheets under biaxial stretching conditions.