Thermo‐mechanical analysis of cold extrusion process using stream function and finite element methods

Abstract

Purpose – The purpose of this paper is to propose a mathematical model to estimate required energy and temperature distribution during cold extrusion process.Design/methodology/approach – An admissible velocity field is generated based on stream function technique. Then, the required energy and the temperature distributions in the metal and the extrusion die are determined by a coupled upper bound‐finite element analysis.Findings – To examine the proposed model, cold extrusion of AA6061‐10%SiCp is considered and the predicted extrusion force‐displacement diagrams in different reductions are compared with the experimental ones and reasonable agreement is observed. Furthermore, it is found that there is a linear relationship between maximum temperature and logarithm of ram velocity for the examined composite.Originality/value – This approach requires shorter run‐time as compared with fully finite element analyses while the model is particularly appropriate for high speed extrusion processes where the adiaba...