How would you……describe the overall signifi cance of this paper? Finite-element simulations, with a new material constitutive model, are used to predict hot gas-pressure forming of AZ31 magnesium sheet into both simple and complex part geometries. These simulations are shown, through comparisons with formed parts, to provide useful predictions of the forming process. Furthermore, the current limitations of simulation capabilities are also described. …describe this work to a materials science and engineering professional with no experience in your technical specialty? A new material constitutive model is formulated for fi ne-grained AZ31 magnesium sheet material. This model is based upon the deformation mechanisms currently understood to operate at the temperatures, strain rates and stress states which occur in commercial hot blow-forming operations. Commercial fi nite-element-method codes are used with this material model to predict sheet forming in balanced-biaxial and plane-strain stress states, as well as the complex stress states of a commercial trunk closure component. All simulations are compared against formed parts to validate the FE predictions using the new material model. …describe this work to a layperson? Computerized simulations are used to predict the high-temperature forming of magnesium sheet material into complex vehicle components. Finite element (FE) simulations will be vitally important to advancing magnesium alloy sheet forming technologies for vehicle component manufacturing. Although magnesium alloy sheet has been successfully formed into complex components at high temperatures, material constitutive model development for FE simulations has not kept pace with the needs of forming process design. This article describes the application of a new material constitutive model in FE simulations for hot forming of magnesium AZ31 alloy sheet. Simulations of forming both simple geometries from laboratory studies and complex parts from production trials are presented and compared with experimental results.