Biaxial tensile deformation simulation of 5000 series aluminum alloy sheet using crystal plasticity finite element method based on homogenization method and its experimental validation

Abstract

Biaxial tensile deformation behavior of 5000 series aluminum alloy sheet was simulated by using crystal plasticity finite element method based on the mathematical homogenization method. The representative volume element of crystallographic texture in the alloy was constructed using the crystal orientation data measured by electron back scattered diffraction technique. The material parameters used for the work hardening law were identified on the basis of the true stress-true strain curve measured by the uniaxial tensile test. In order to validate the simulated biaxial tensile deformation behavior of the alloy sheet under linear biaxial stress paths, the calculated true stress-true plastic strain curves and contours of equal plastic work in stress space were precisely compared with those obtained by a servo-controlled biaxial tensile testing machine. Although the anisotropic hardening behavior observed by the experiments was not fully reproduced by the present simulation, the simulated stress–strain curve and the evolution of contours of equal plastic work showed good agreement with the experimental result.