The formability of Al–Mg sheet can be improved considerably, by increasing the temperature. By heating the\ud
sheet in areas with large shear strains, but cooling it on places where the risk of necking is high, the limiting drawing ratio\ud
can be increased to values above 2.5. At elevated temperatures, the mechanical response of the material becomes strain rate\ud
dependent. To accurately simulate warm forming of aluminium sheet, a material model is required that incorporates the\ud
temperature and strain-rate dependency. In this paper simulations are presented of the deep drawing of a cylindrical cup,\ud
using shell elements. It is demonstrated that the familiar quadratic Hill yield function is not capable of describing the plastic\ud
deformation of aluminium. Hardening can be described successfully with a physically based material model for temperatures\ud
up to 200 �C. At higher temperatures and very low strain rates, the flow curve deviates significantly from the mode