Prediction of Extrusion Pressure in Vortex Extrusion Using a Streamline Approach

Document Type : Research Paper

Authors

1 -Department of Materials Science and Engineering, School of Engineering, Urmia University, Urmia, Iran

2 Department of Materials Science and Engineering, POSTECH, Pohang 790-784, Republic of Korea

3 Department of Materials Science and Engineering, School of Engineering, Shiraz University, Shiraz, Iran

Abstract

Vortex extrusion (VE) is a severe plastic deformation technique which is based on the synergies between high strain accumulation and high hydrostatic pressure. Such a high amount of pressure, places a mandate to seek the method for investigation of the load under processing conditions. For this, kinematically admissible velocity field and upper bound terms based on Bezier formulation are developed in order to investigate relative pressure in the VE process. Effects of reduction in area, relative length, twist angle, and friction factor in power dissipation terms are systematically analyzed. It is demonstrated that increasing the twist angle and area reducing and friction factor in the VE process increases the relative pressure, which the rates of these increase varies with twist angle. Moreover, the effect of the relative length is different in various frictional conditions. Results of conventional extrusion (CE) are in good agreement with those found by Avitzur for the effect of slug length and friction factor on the relative extrusion stress.

Keywords


[1] R.Z. Valiev and T.G. Langdon, Achieving exceptional grain refinement through severe plastic deformation: New approaches for improving the processing technology, Metallic Materials Transection A, 42 (2011) 2942-2951.
[2] A.Azushima, R. Kopp, A. Korhonen, D.Y. Yang, F. Micari, G.D. Lahoti, P. Groche, J. Yanagimoto, N. Tsuji, A. Rosochowski and A. Yanagida, Severe plastic deformation (SPD) processes for metals, CIRP Annual Manufacturing and Technology, 57 (2008) 716-735.
[3] Y. Estrin and A. Vinogradov, Extreme grain refinement by severe plastic deformation: a wealth of challenging science, Acta Mateillia, 61 (2013) 782-817.
[4] R.Z. Valiev, R.K. Islamgaliev and I.V. Alexandrov, Bulk nanostructured materials from severe plastic deformation, Progress in Materials Science, 45 (2000) 103-189.
[5] M. Shahbaz, N. Pardis, R. Ebrahimi and B. Talebanpour, A novel single pass severe plastic deformation technique: Vortex extrusion, Materials Science and Engineering A, 530 (2011) 469-472.
[6] M. Shahbaz, R. Ebrahimi, H.S. Kim, Streamline Approach to Die Design and Investigation of Material Flow in Vortex Extrusion Process, Applied Mathematical Modelling, 40 (2016) 3550–3560.
[7] M. Shahbaz, N. Pardis, J.G. Kim, R. Ebrahimi, H.S. Kim, Experimental and finite element analyses of plastic deformation behavior in vortex extrusion, Materials Science and Engineering A, 674 (2016) 472–479.
[8] Y. Beygelzimer, Grain refinement versus voids accumulation during severe plastic deformations of polycrystals: mathematical simulation, Mechanics of Materials, 37 (2005) 753-767.
[9] M.I. Latypov, I.V. Alexandrov, Y. Beygelzimer, S. Lee and H.S. Kim, Finite element analysis of plastic deformation in twist extrusion, Computational Materials Science, 60 (2012) 194-200.
[10] M.I. Latypov, M.G. Lee, Y. Beygelzimer, R. Kulagin and H.S. Kim, On the simple shear model of twist extrusion and its deviations, Metals and Materials International, 21 (2015) 569-579.
[11] Y. Beygelzimer, R. Kulagin, M.I. Latypov, V. Varyukhin and H.S. Kim, Off-axis twist extrusion for uniform processing of round bars, Metals and Materials International, 21 (2015) 734-740.
[12] B. Avitzur, Metal forming: processes and analysis, Original ed., McGraw-Hill Book Co., Reprint with revisions and corrections, New York (1979).
[13] M. Seyed Salehi, N. Anjabin and H.S. Kim, An upper bound solution for twist extrusion process, Metals and Materials International, 20 (2014) 825-834.
[14] S. Khoddam, A. Farhoumand and P.D. Hodgson, Upper-bound analysis of axi-symmetric forward spiral extrusion, Mechanics of Materials, 43 (2011) 684-692.
[15] S.F. Hoysan and P.S. Steif, A streamline-based method for analyzing steady state metal forming processes, International Journal of Mechanical Science, 34 (1992) 211-221.
[16] N.R. Chitkara and K.F. Celik, A generalised CAD/CAM solution to the three-dimensional off-centric extrusion of shaped sections: analysis, International Journal of Mechanical Science, 42 (2000) 273-294.
[17] N.R. Chitkara and K. Abrinia, A generalized upper-bound solution for three-dimensional extrusion of shaped sections using CAD/CAM bilinear surface dies, Processing in 28th. International Matador Conference, 18, April (1990).
[18] R. Ponalagusamy, R. Narayanasamy and P. Srinivasan, Design and development of streamlined extrusion dies a Bezier curve approach, Journal of Materials and Processing Technology, 161 (2005) 375-380.
[19] K. Narooei and A. Karimi Taheri, A new model for prediction the strain field and extrusion pressure in ECAE process of circular cross section, Applied Mathematical Modelling, 34 (2010) 1901-1917.
[20] Y. Beygelzimer, D. Orlov, V. Varyukhin, A new severe plastic deformation method: Twist Extrusion/Ultrafine Grained Materials II. Proceedings of a symposium held during the 2002 TMS Annual Meeting I Seattle, Washington, February 17-21, 2002/ Ed. by Y.T. Zhu, T.G. Langdon, R.S. Mishra, S.L. Semiatin, M.J. Saran, T.C. Lowe, TMS, (2002) 297-304.
[21] Y. Beygelzimer, A. Reshetov, S. Synkov, O. Prokof'eva, R. Kulagin, Kinematics of metal flow during twist extrusion investigated with a new experimental method. Journal of Materials Processing and Technology, 209 (2009) 3650-3656.