Hossein Ataei - Department of Materials Science and Engineering, School of Engineering, Urmia University, Urmia, Iran
Mehrdad Shahbaz - Department of Materials Science and Engineering, School of Engineering, Urmia University, Urmia, Iran
Hyoung Seop Kim - Department of Materials Science and Engineering, Pohang University of Science and Technology (POSTECH), Pohang ۳۷۶۷۳, Republic of Korea
Nima Pardis - Department of Materials Science and Engineering, School of Engineering, Shiraz University, Shiraz, Iran

In this study, the effect of geometrical parameters of rectangular vortex extrusion die, including twist angle (Φ), reduction in area (RA), and twist zone length (L), on deformation inhomogeneity is investigated using the finite element analysis and response surface methodology. Analysis of variance (ANOVA) was used to determine the primary parameters and accuracy of the mathematical model obtained from response surface methodology results. The results showed that the suggested mathematical model predicts the strain inhomogeneity with high accuracy. Additionally, it revealed that the input parameters of Φ, RA, L, the interaction between Φ and RA (Φ×RA), and interaction between RA and L (RA×L) are the main significant factors affecting the inhomogeneity. Perturbation plots and ۳D surface diagrams were used to check the results of ANOVA, the sign, and the magnitude of the coefficient of the suggested mathematical model. RA

severe plastic deformation, Rectangular vortex extrusion, strain inhomogeneity, Finite Element Analysis, Response surface methodology