Combined effects of process variables (blank shapes, tool shapes, blan
k materials and punch lubrication) on the deep-drawability of square c
ups were studied. Characteristic force lines to estimate the deep-draw
ability were introduced. The combined effects of the process variables
were explained based on the force lines, the types of fractured cups
and the thickness strain distribution. Moreover, the limiting drawing
ratio could be easily evaluated from the force lines. The constant fra
cture force and the transitional fracture force were defined. These fo
rces were used as the target values for the improvement in the deep-dr
awability. The extent of the improvement in the deep-drawability was e
valuated using the fracture forces. (C) 1998 Elsevier Science S.A. All
rights reserved.