A constitutive and fracture model for AZ31B magnesium alloy in the tensile state

Abstract

The quasi-static tensile experiment and Split-Hopkinson Tension Bar (SHTB)experiment of AZ31B magnesium alloy have been studied under a strain rate range of 0.001–3000s−1 at a temperature range of 20–250°C. A empirically based constitutive and fracture model, Johnson–Cook (J–C) model, have been proposed to incorporate strain rates and temperatures effect on the stress–strain relation. The models can describe the stress–strain relations of metals over a wide range of strain rates and temperatures. The effects of strain rates and temperatures on the material's behavior were discussed. Based on the tensile state experimental technique, the aim was to determine the material constants of the constitutive and fracture models according to the experiments. The constitutive model and fracture model of J–C employed in 3D finite element software ANSYS and ABAQUS to describe AZ31B magnesium alloy electromagnetic bulging and failure behavior. Good agreement is obtained between the numerical simulation results and the experiment results. It indicates that it is valid using the J–C constitutive and failure models to describe or predict the electromagnetic bulging and failure response of materials.