Path-independent forming limit models for multi-stage forming processes

Many practitioners of the metal forming community remain faithful to the idea that strain metrics are useful for formability assessment. However, it is only valid when deformation occurs along linear strain paths. Current simulations of multi-stage sheet forming processes for rigid-packaging and automotive components result in higher rejection rates due to the inaccuracy of forming and fracture limit models. In this work, we establish a new approach considering path-independency in forming limits based on the stress-based forming limit and polar EPS (Effective Plastic Strain) diagram which appear to be an effective solution for nonlinear effects. The related theory has been implemented into a user material model in commercial software.