[1] Boer, C. R., Schneider, W. R., Eliasson, B., Avitzur, B, “An Upper Bound Approach for the Direct Drawing of Square Section Rod from Round Bar”, Proceedings of the Twentieth International Machine Tool Design and Research Conference, 149-156, 1980
[2] Gunasekeraa, J.S., Hoshino, S., Brown, R.H., “Extrusion of Non-Circular Sections Through Shaped Dies”, CIRP Annals 29, 141-145, 1980
[3] Chitkara, N.R., Abrinia, K., “A Generalised Upper Bound Solution for Three-Dimensional Extrusion of Shaped Sections Using Cad-Cam Bilinear Surface Dies”, In: Proceedings of the 28th International Matador Conference, 417-424, 1990
[4] Celik, K.F., Chitkara, N.R., “Application of an upper bound method to off – centric extrusion of squared sections, analysis and experiments”, International Journal of Mechanical Science 42, 321 – 345, 2000
[5] Wu, W., Hsu, R.Q., “A universal velocity field for the extrusion of non- axisymmetric rods with non-uniform velocity distribution in the extrusion direction”, Journal of material processing technology 97, 180-185, 2000
[6] Qi, H.Y., Wang, S.X., Zhu, H.J., “Similar extrusion and mapping optimization of die cavity modeling for special-shaped products” , Transactions of Nonferrous Metals Society of China 16, Issue 3, 587-592, 2006
[7] Qi, H.Y, Chen, K, Sun, W.H., Zhu, H.J, “Vertical Curve Analysis of Extruding Die Cavity and Conformal Mapping” , Journal of Rare Earths, 375-378, 2007
[8] Saboori, M, Bakhshi-Jooybari, M., Noorani-Azad, M., Gorji, A., “Experimental and numerical study of energy consumption in forward and backward rod extrusion”
Journal of Material Processing Technology 177, 612–616, 2006
[9] Ajiboye, J.S., Adeyemi, M.B., “Upper bound analysis for extrusion at various die land lengths and shaped profiles”, International Journal of Mechanical Sciences 49, 335-351,2007
[10] Assempour, A. Hassannejadasl, A., “Minimization of the exit profile curvature in non-symmetric T-shaped sections in the extrusion process”, Journal of materials and design 30, 1350-1355, 2008
[11] Kumar Sahoo, S., Sahoo, B., Patra, L.N., Paltasingh, U.C., Samantaray, P.R., “Three-dimensional analysis of round-to-angle section extrusion through straight converging die”, International journal of advanced manufacturing technology 49, 505-512, 2010
[12] Abrinia, K., Davarzani, H., “A universal formulation for the extrusion of sections with no axis of symmetry”, journal of Materials Processing Technology 229, 132-143, 2012
[13] Gordon, W.A., Van Tyne, C.J., Moon, Y.H., “Minimizing distortion during extrusion using adaptable dies”, International Journal of Mechanical Sciences 62, 1-17, 2012
[14] Abrinia, K., Ghorbani, M., “Theoretical and Experimental Analyses for the Forward Extrusion of Non symmetric Sections”, Materials and Manufacturing Processes 27, 420-429, 2012
[15] Sheikhpour, M., “Forward Extrusion Bearing Design Using Upper Bound” Master's thesis, University of Tehran, 2012, [in Persian].
[16] Farahmand, P., Abrinia, K., Parchami-Sarghin, M., “Formulation of a new generalized kinematically admissible velocity field with a variable axial component for the forward extrusion of shaped sections”, The International Journal of Advanced Manufacturing Technology 70, 1427-1435, 2014
[17] Karami, P., Abrinia, K., “Development of a more realistic upper bound solution for the three-dimensional problems in the forward extrusion process”, International Journal of Mechanical Sciences 74, 112-119, 2013
[18] Venkatesh, C., Venkatesan, R., “Design and Analysis of Streamlined Extrusion Die for Round to Hexagon Using Area Mapping Technique, Upper Bound Technique and Finite Element Method”, Journal of mechanical science technology 28, 1867-1874, 2014
[19] Nazari Onlaghi, S. and Assempour, A. “On the minimization of the exit profile curvature in extrusion through multi-hole dies: a methodology and some verifications”, Meccanica 50, 1427-1435, 2015
[20] Tabatabaei, S.A., Abrinia, K., “Analytical modelling of the extrusion process using the electrostatics concept”, Journal of Mechanics of Materials 254, 147-158, 2015
[21] Farzad, H, Ebrahimi, R., “Die Profile Optimization of Rectangular Cross Section Extrusion in Plane Strain Condition Using Upper Bound Analysis Method and Simulated Annealing Algorithm”, Journal of manufacturing science engineering
Trans. ASME 139, p 021006, 2017
[22] Hussein, A.W., Kadhim, A,J., “Mathematical Analyses and Numerical Simulations for Forward Extrusion of Circular, Square, and Rhomboidal Sections from Round Billets Through Streamlined Dies”, Journal of manufacturing science engineering Trans. ASME 139(6), p 064501, 2017
[23] Zhou, W.B., Lin, J.G., Dean, T.A., Wang, L., “Feasibility studies of a novel extrusion process for curved profiles: Experimentation and modelling”, International Journal of Machine Tools and Manufacture 126, 27-43, 2018
[24] Seyyed Nosrati, A., Abrinia, K., Parvizi A., “An Applied Analytical Method for the Forward Extrusion of Metals”, Journal of Materials Engineering and Performance 29, 1296-1310, 2020
[25] Sheikhpour, M., Hosseinipour, S.J., Mirnia, M.J., “Prediction of exit profile distortion in forward extrusion process using Riemann mapping theorem and upper bound method”, Meccanica 55, 1099-1118, 2020
[26] Roland Schinzinger, Patricio A. A. Laura, “Conformal Mapping: Methods and Applications”, Elsevier, 2003
[27] El Megharbel A., El Nasser G.A., Aly El Domiaty, “Bending of tube and section made of strain-hardening materials”, journal of Materials Processing Technology 203, 372-380, 2008
[28] Molaei, S. H., Shahbaz, R., Ebrahimi, R., “The Relationship between Constant Friction Factor and Coefficient of Friction in Metal Forming Using Finite Element Analysis”, Iranian Journal of Materials Forming 1(2), 14-22, 2014