Abstract: n this paper with Von Karmanis basic assumptions a kinematically admissible continuous velocity field has been established to drawing through parabolic dies (or called trumpet dies). Then by. using the curvilinear and the integral as a function of the upper limit an upper bound analytical solution of the drawing stress is obtained.

Key words: douhle hamonic operator, generalized Morse indiee, nontrivial solution, parabolic die, drawing, curvilinear integral analytical solution