Isfahan University of Technology Journal of Computational Methods in Engineering 2228-7698 26 1 2022 12 31 Optimalization of Die Shap and Flow Lines in Non-Linear Dies in Extrusion of Non-Circular Sections Optimalization of Die Shap and Flow Lines in Non-Linear Dies in Extrusion of Non-Circular Sections 285 299 2976 FA S. Farahani And A. Assempour Journal Article 2022 12 31 In this paper, an analytical method for noncircular shape extrusion is presented. Using this method, non-linear deformation field can be described with Hermit cubic spline which is prescribed by the boundary conditions of the die at its entryand exit. The upper bound method has been used to obtain optimum coefficient of the tangential boundary conditions. The results show that the optimum tangential parameter and the extrusion force determined by this method have good agreement with those obtained from other established methods. Also physical modeling tests show that optimum non-linear die could reduce extrusion force and strain variation compared with those in a linear die. In this paper, an analytical method for noncircular shape extrusion is presented. Using this method, non-linear deformation field can be described with Hermit cubic spline which is prescribed by the boundary conditions of the die at its entryand exit. The upper bound method has been used to obtain optimum coefficient of the tangential boundary conditions. The results show that the optimum tangential parameter and the extrusion force determined by this method have good agreement with those obtained from other established methods. Also physical modeling tests show that optimum non-linear die could reduce extrusion force and strain variation compared with those in a linear die. https://jcme.iut.ac.ir/article_2976_a209ca7b50dcaab2db7c2d4d1223d4d5.pdf