10.30684/ etj.29.4.1


This paper depends on a new analytical method to calculate relative
deformation energies for complex die shape by using upper bound theory which is
an important method to solve technical problem in the field of metal
deformation .This study divides the complex shape to a number of sectors for
counting the deformation energies and then to find the total energy requirement
for extrusion process in die with arbitrary linear function. This study uses (H)
section which represents one of complex shapes to calculate the relative
deformation energies for it, taking into account the effects of friction factor ,
relative die length and reduction of area .
The results of the present study are compared with M.KIUCHI study and found it
in a very good agreement.