Based on a one-step simulation algorithm and the program developed, a new f
inite element approach is introduced for the direct prediction of blank sha
pes and strain distributions for desired final shapes in sheet metal formin
g. In the numerical simulation, the choice of optimal element plays an impo
rtant role and is related to the accuracy and effectiveness of solving the
problems. Since a one-step approach needs to predict the initial blank shap
e and the thickness distribution in a deformed part rapidly, the applicatio
n of the DKT shell element including bending effects is preferable because
of its simplicity and effectiveness. As a result, new and compact formulati
ons of this element are given in this paper Formulations of a one-step simu
lation are also revised. Results from the deep drawing of square and cylind
rical cups using the DKT shell and membrane element are compared with the a
vailable experimental data. (C) 2001 Elsevier Science B.V. All rights reser
ved.