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A Unified Velocity Field for Analysis of Flat Rolling Process | ||
| AUT Journal of Mechanical Engineering | ||
| مقاله 3، دوره 1، شماره 2، اسفند 2017، صفحه 139-148 اصل مقاله (805.72 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2017.12585.5374 | ||
| نویسندگان | ||
| P. Amjadian؛ H. Haghighat* | ||
| Mechanical Engineering Department, Razi University, Kermanshah, Iran | ||
| چکیده | ||
| The subject of this paper is analysis of the flat rolling process by upper bound method. In this analysis the arc of contact has been replaced by a chord and the inlet and outlet shear boundaries of the deformation zone have been assumed as arbitrarily exponential curves. A unified kinematically admissible velocity field has been proposed that permits the possible formation of internal defects. By minimizing the required total power with respect to the neutral point position and the shape of the inlet and outlet shear boundaries, the rolling torque has been determined. The velocity components obtained from the upper bound method have been compared with the FE simulation. The analytical results have been showed a good agreement between the upper bound data and the FE results. A criterion has been presented to predict the occurrence of the split ends and central bursts defects during flat rolling process. Comparison of analytically developed approach for rolling torque and internal defects with published theoretical and experimental data have been showed a good agreement. Finally, the effects of process parameters on the safe and unsafe zones sizes have been investigated. It is shown that with increasing of the friction factor, the safe zone size is decreased. | ||
تازه های تحقیق | ||
[1] H. Dyja, M. Pietrzyk, On the theory of the process of hot rolling of bimetal plate and sheet, Journal of mechanical working technology, 8(4) (1983) 309-325. [2] B. Avitzur, C. Van Tyne, S. Turczyn, The prevention of central bursts during rolling, Journal of Engineering for Industry, 110(2) (1988) 173-178. [3] H. Takuda, N. Hatta, H. Lippmann, J. Kokado, Upper-bound approach to plane strain strip rolling with free deformation zones, Ingenieur-Archiv, 59(4) (1989) 274- 284. [4] S. Turczyn, M. Pietrzyk, The effect of deformation zone geometry on internal defects arising in plane strain rolling, Journal of Materials Processing Technology, 32(1-2) (1992) 509-518. [5] R. Prakash, P. Dixit, G. Lal, Steady-state plane-strain cold rolling of a strain-hardening material, Journal of materials processing technology, 52(2-4) (1995) 338- 358. [6] S. Turczyn, The effect of the roll-gap shape factor on internal defects in rolling, Journal of materials processing technology, 60(1-4) (1996) 275-282. [7] P. Martins, M. Barata Marques, Upper bound analysis of plane strain rolling using a flow function and the weighted residuals method, International journal for numerical methods in engineering, 44(11) (1999) 1671- 1683. [8] A.N. Doğruoğlu, On constructing kinematically admissible velocity fields in cold sheet rolling, Journal of Materials Processing Technology, 110(3) (2001) 287- 299. [9] S. Ghosh, M. Li, D. Gardiner, A computational and experimental study of cold rolling of aluminum alloys with edge cracking, Journal of manufacturing science and engineering, 126(1) (2004) 74-82. [10] S.A. Rajak, N.V. Reddy, Prediction of internal defects in plane strain rolling, Journal of materials processing technology, 159(3) (2005) 409-417. [11] S. Serajzadeh, Y. Mahmoodkhani, A combined upper bound and finite element model for prediction of velocity and temperature fields during hot rolling process, International Journal of Mechanical Sciences, 50(9) (2008) 1423-1431. [12] W. Deng, D.-w. Zhao, X.-m. Qin, L.-x. Du, X.-h. Gao, G.-d. Wang, Simulation of central crack closing behavior during ultra-heavy plate rolling, Computational Materials Science, 47(2) (2009) 439-447. [13] R. Mišičko, T. Kvačkaj, M. Vlado, L. Gulová, M. Lupták, J. Bidulská, Defects simulation of rolling strip, Materials Engineering, 16(3) (2009) 7-12. [14] M. Bagheripoor, H. Bisadi, Application of artificial neural networks for the prediction of roll force and roll torque in hot strip rolling process, Applied Mathematical Modelling, 37(7) (2013) 4593-4607. [15] T.-S. Cao, C. Bobadilla, P. Montmitonnet, P.-O. Bouchard, A comparative study of three ductile damage approaches for fracture prediction in cold forming processes, Journal of Materials Processing Technology, 216 (2015) 385-404. [16] H. Haghighat, P. Saadati, An upper bound analysis of rolling process of non-bonded sandwich sheets, Transactions of Nonferrous Metals Society of China, 25(5) (2015) 1605-1613. [17] H. Haghighat, P. Saadati, An upper bound analysis of rolling process of non-bonded sandwich sheets, Transactions of Nonferrous Metals Society of China, 25(5) (2015) 1605-1613. [18] Y.-M. Liu, G.-S. Ma, D.-W. Zhao, D.-H. Zhang, Analysis of hot strip rolling using exponent velocity field and MY criterion, International Journal of Mechanical Sciences, 98 (2015) 126-131. [19] J. Sun, Y.-M. Liu, Y.-K. Hu, Q.-L. Wang, D.-H. Zhang, D.-W. Zhao, Application of hyperbolic sine velocity field for the analysis of tandem cold rolling, International Journal of Mechanical Sciences, 108 (2016) 166-173. [20] S. Dwivedi, R. Rana, A. Rana, S. Rajpurohit, R. Purohit, Investigation of Damage in Small Deformation in Hot Rolling Process Using FEM, Materials Today: Proceedings, 4(2) (2017) 2360-2372. | ||
| کلیدواژه‌ها | ||
| Velocity field؛ Flat rolling؛ Central bursts؛ Split ends | ||
| مراجع | ||
|
[1] H. Dyja, M. Pietrzyk, On the theory of the process of hot rolling of bimetal plate and sheet, Journal of mechanical working technology, 8(4) (1983) 309-325.
[2] B. Avitzur, C. Van Tyne, S. Turczyn, The prevention of central bursts during rolling, Journal of Engineering for Industry, 110(2) (1988) 173-178.
[3] H. Takuda, N. Hatta, H. Lippmann, J. Kokado, Upper-bound approach to plane strain strip rolling with free deformation zones, Ingenieur-Archiv, 59(4) (1989) 274- 284.
[4] S. Turczyn, M. Pietrzyk, The effect of deformation zone geometry on internal defects arising in plane strain rolling, Journal of Materials Processing Technology, 32(1-2) (1992) 509-518.
[5] R. Prakash, P. Dixit, G. Lal, Steady-state plane-strain cold rolling of a strain-hardening material, Journal of materials processing technology, 52(2-4) (1995) 338- 358.
[6] S. Turczyn, The effect of the roll-gap shape factor on internal defects in rolling, Journal of materials processing technology, 60(1-4) (1996) 275-282.
[7] P. Martins, M. Barata Marques, Upper bound analysis of plane strain rolling using a flow function and the weighted residuals method, International journal for numerical methods in engineering, 44(11) (1999) 1671- 1683.
[8] A.N. Doğruoğlu, On constructing kinematically admissible velocity fields in cold sheet rolling, Journal of Materials Processing Technology, 110(3) (2001) 287- 299.
[9] S. Ghosh, M. Li, D. Gardiner, A computational and experimental study of cold rolling of aluminum alloys with edge cracking, Journal of manufacturing science and engineering, 126(1) (2004) 74-82.
[10] S.A. Rajak, N.V. Reddy, Prediction of internal defects in plane strain rolling, Journal of materials processing technology, 159(3) (2005) 409-417.
[11] S. Serajzadeh, Y. Mahmoodkhani, A combined upper bound and finite element model for prediction of velocity and temperature fields during hot rolling process, International Journal of Mechanical Sciences, 50(9) (2008) 1423-1431.
[12] W. Deng, D.-w. Zhao, X.-m. Qin, L.-x. Du, X.-h. Gao, G.-d. Wang, Simulation of central crack closing behavior during ultra-heavy plate rolling, Computational Materials Science, 47(2) (2009) 439-447.
[13] R. Mišičko, T. Kvačkaj, M. Vlado, L. Gulová, M. Lupták, J. Bidulská, Defects simulation of rolling strip, Materials Engineering, 16(3) (2009) 7-12.
[14] M. Bagheripoor, H. Bisadi, Application of artificial neural networks for the prediction of roll force and roll torque in hot strip rolling process, Applied Mathematical Modelling, 37(7) (2013) 4593-4607.
[15] T.-S. Cao, C. Bobadilla, P. Montmitonnet, P.-O. Bouchard, A comparative study of three ductile damage approaches for fracture prediction in cold forming processes, Journal of Materials Processing Technology, 216 (2015) 385-404.
[16] H. Haghighat, P. Saadati, An upper bound analysis of rolling process of non-bonded sandwich sheets, Transactions of Nonferrous Metals Society of China, 25(5) (2015) 1605-1613.
[17] H. Haghighat, P. Saadati, An upper bound analysis of rolling process of non-bonded sandwich sheets, Transactions of Nonferrous Metals Society of China, 25(5) (2015) 1605-1613.
[18] Y.-M. Liu, G.-S. Ma, D.-W. Zhao, D.-H. Zhang, Analysis of hot strip rolling using exponent velocity field and MY criterion, International Journal of Mechanical Sciences, 98 (2015) 126-131.
[19] J. Sun, Y.-M. Liu, Y.-K. Hu, Q.-L. Wang, D.-H. Zhang, D.-W. Zhao, Application of hyperbolic sine velocity field for the analysis of tandem cold rolling, International Journal of Mechanical Sciences, 108 (2016) 166-173.
[20] S. Dwivedi, R. Rana, A. Rana, S. Rajpurohit, R. Purohit, Investigation of Damage in Small Deformation in Hot Rolling Process Using FEM, Materials Today: Proceedings, 4(2) (2017) 2360-2372. | ||
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