“…The program incorporated the strain hardening exponent (n-value) additionally into the constitutive equation for the simulation, i.e., the equation ' K H 4 n 4 m was used. The model also incorporates the non-uniform thinning effect during free bulging [19]. In addition, the effects of different friction coef®cients at different locations of the formed part can be considered, using different friction coef®cients, such as " 0 (complete sliding), " 0.01±0.1 (different degrees of partial sliding), or " I (complete sticking) for each selected position [5,11,19,24].…”