Thermal analysis of hot strip rolling using finite element and upper bound methods. (English) Zbl 1185.74092
Summary: Thermal analysis of hot rolling process has been studied in this work. A finite element method has been coupled with an upper bound solution assuming, triangular velocity field, to predict temperature field during hot strip rolling operation. To do so, an Upwind Petrov-Galerkin scheme together with isoparametric quadrilateral elements has been employed to solve the steady-state heat transfer equation. A comparison has been made between the published and the model predictions and a good agreement was observed showing the accuracy of the proposed model.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
References:
| [1] | Pietrzyk, M.; Lenard, J. G., A study of heat transfer during flat rolling, Int. J. Numer. Methods Eng., 30, 1459-1469 (1990) |
| [2] | Corsini, B., A three dimensional thermomechanical analysis of steady flows in hot forming processes: applications to hot flat rolling and hot shape rolling, Modelling of Metal Forming Processes (1988), Kluwer Academic Publishers, pp. 271-279 |
| [3] | Bryant, G. F.; Heselton, M. O., Roll gap temperature models for hot mills, Metals Technol., 9, 469-477 (1982) |
| [4] | Bryant, G. F.; Chiu, T. S.L., Simplified roll-temperature model: spray-cooling and stress effects, Metals Technol., 9, 478-484 (1982) |
| [5] | Heinrich, J. C.; Zienkiewicz, O. C., Quadratic finite element schemes for two-dimensional convective transport problems, Int. J. Numer. Methods Eng., 11, 1831-1844 (1977) · Zbl 0372.76002 |
| [6] | Serajzadeh, S.; Karimi Taheri, A., An investigation on strain inhomogeneity in hot strip rolling process, J. Mater. Process. Technol., 128, 88-99 (2002) |
| [7] | Serajzadeh, S., Prediction of temperature distribution and phase transformation on the run-out table in the process of hot strip rolling, Appl. Math. Modell., 27, 861-875 (2003) · Zbl 1106.80300 |
| [8] | Chung, S. G.; Kuwahara, K.; Richmond, O., Streamline-coordinate finite-difference method for hot metal deformations, J. Comput. Phys., 108, 1-7 (1993) · Zbl 0778.76056 |
| [9] | Tseng, A. A., A generalized finite difference scheme for convection-dominated metal-forming problems, Int. J. Numer. Methods Eng., 20, 1885-1900 (1983) · Zbl 0551.65084 |
| [10] | Hollander, F., A model to calculate the complete temperature distribution in steel during hot rolling, J. Iron Steel Inst., 208, 46-74 (1970) |
| [11] | Devadas, C.; Samarasekara, I. V., Heat transfer during hot rolling of steel strip, Ironmak. Steelmak., 13, 311-321 (1986) |
| [12] | Chen, W. C.; Samarasekara, I. V.; Kumar, A.; Hawbolt, E. B., Mathematical modelling of heat flow and deformation during rough rolling, Ironmak. Steelmak., 20, 113-125 (1993) |
| [13] | Avitzur, B.; Gordon, W., Analysis of strip rolling by the upper bound approach, J. Eng. Ind., 109, 338-346 (1987) |
| [14] | Avitzur, B.; Pachla, W., The upper bound approach to plane strain problems using linear and rotational velocity fields-Part I: basic concepts, J. Eng. Ind., 108, 295-306 (1986) |
| [15] | Avitzur, B., Metal Forming: Processes and Analysis (1968), McGraw-Hill: McGraw-Hill New York |
| [16] | Heinrich, J. C.; Pepper, D. W., Intermediate Finite Element Method Fluid Flow and Heat Transfer Applications (1999), Taylor & Francis: Taylor & Francis Philadelphia, pp. 313-347 |
| [17] | Serajzadeh, S., Effects of rolling parameters on work-roll temperature distribution in the hot rolling of steels, Int. J. Adv. Manufact. Technol., 35, 859-866 (2008) |
| [18] | Serajzadeh, S., A mathematical model for evolution of flow stress during hot deformation, Mater. Lett., 59, 3319-3324 (2005) |
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