An elastoplastic finite element method solution to drawing processes i
s presented. A steady state nature of these processes allows the probl
em to be formulated in the spatial reference frame. The solution is di
vided into two variational problems. The first part involves minimizat
ion of the deformation power and gives a kinematically admissible velo
city field. The second part is an integration of the stress transport
equations. A numerical algorithm based on the non-linear optimization
with constraints is employed to integrate the objective stress rate in
the final configuration without linearization. The predictive capabil
ities of the method are demonstrated for drawing of a copper bar.