analytical evaluation of the effect of die and punch profile radii on deep drawing force

in this study, the formation of different parts of a cup during deep drawing process has been investigated analytically using the geometrical relationships. for a given punch travel, the effects of the bending angle, and those of the die and shoulder radii on the flange and die shoulder strains were examined. in addition, different components of the deformation force were calculated and the punch force - punch travel diagrams for different die and punch shoulder radii were studied. the results showed that the die and punch shoulder radii have similar effects on the punch travel at the maximum force. there was a very good agreement between the calculated results in this research and those obtained by other investigators.