This paper applies a multistep inverse approach using a new method to generate the intermediate configurations to analyze the press forming of magnesium alloys. The developed approach considers a final configuration to be formed from a flat blank sheet. It accounts for a series of intermediate configurations that are estimated based on the initial and final configurations as well as tooling conditions using optimization techniques. These techniques minimize the sheet metal surface area subject to the constraints imposed on the punch and die. Due to the limited formability of magnesium alloys, it is important to realistically estimate the intermediate configurations so that a damage mechanics approach can be explored to predict damage accumulations that can cause rupture of the sheet during forming. Elastic-plastic constitutive laws are used with the modified Hill’s criterion and deformation theory of plasticity to describe the behavior of AZ31 magnesium alloys. Damage is captured by a damage variable that governs the equivalent stress. A damage-plasticity coupled approach is employed for the integration of the constitutive equations. The computed strain increment from two consecutive intermediate configurations is used to predict the resulting damage accumulations during forming. The continuum damage mechanics multistep inverse approach is applied to predict forming of AZ31 magnesium alloy sheets.

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