A theoretical model for the material flow for the forward extrusion of complicated and non-symmetric sections

Abstract

In this paper A new generalized analysis for the forward extrusion of complicated and non-symmetric sections is presented. The new formulation is based on the concept that all points on the cross section of the initial billet map similar points on the final section of the extruded profile. As a typical nonsymetric shape a U shaped section was chosen.The new formulation is more advanced over the previous models as regards the material flow. In previous models due to assumptions made for the sake of simplicity of the formulations, the flow of material was very far away from the reality of the problem. However in the present formulation the flow of the material in the theoretical model is much closer to the real problem than any previous works. Using the admissible velocity field obtained based on the present theoretical model, results were obtained which were in good agreement with experimental data. Also comparing the previous works with the present method improvements on upper bound values were observed.