Calculation of the optimal shape of nonconical dies by minimizing necessary forces
A mathematical model is given for the metal forming in an axisymmetric nonconical converging die. By using the Maple V system a semianalytical algorithm is proposed for the calculation of the optimal shape of the die which minimizes the consumed energy of the deformation and the power of the friction forces at the wall. Two examples are presented to demonstrate the efficiency of the proposed method.
nonconical dies bulk metal forming upper bound approach