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The stress-based forming limit criterion has recently been shown to exhibit no significant dependence on strain path for a wide range of materials. This paper describes the effect of material models on the definition of the stress-based forming limit criterion. It is shown that although the shape of the forming limit curve in stress space is sensitive to the type of material model used, the degeneracy of the path dependent strain-based curves to a single curve in stress space shows little sensitivity to the material model. Consequently, the stress based forming limit criterion is shown to provide a more practical and robust measure of forming severity than is possible using the conventional forming limit diagram.