Three-Dimensional Analysis of Extrusion in Complex Die by Using Upper Bound Theory

Abstract

This paper depends on a new analytical method to calculate relativedeformation energies for complex die shape by using upper bound theory which isan important method to solve technical problem in the field of metaldeformation .This study divides the complex shape to a number of sectors forcounting the deformation energies and then to find the total energy requirementfor extrusion process in die with arbitrary linear function. This study uses (H)section which represents one of complex shapes to calculate the relativedeformation 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 itin a very good agreement.