Constitutive models of steel under continuous casting conditions

Journal of Materials Processing Technology

Volumn 135, Issue 1, 2003, Pages 30-43

  Fachinotti, Víctor D ^a   Cardona, Alberto ^a  

^a UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

Author keywords

Continuous casting; High temperature properties; Materials; Steel constitutive models

Indexed keywords

CREEP; HIGH TEMPERATURE EFFECTS; STEEL; VISCOPLASTICITY;

IRREVERSIBLE DEFORMATION;

CONTINUOUS CASTING;

EID: 0037399897     PISSN: 09240136     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0924-0136(02)00955-X     Document Type: Article

References (42)

1. J. Lemaître, J.-L. Chaboche, Mechanics of Solid Materials, Cambridge University Press, Cambridge, 1994.
2. Germain P., Nguyen Q.S., Suquet P., Continuum thermodynamics. ASME J. Appl. Mech. 50(4b):1983;1010-1020.
3. Kozlowski P.F., Thomas B.G., Azzi J.A., Wang H., Simple constitutive equations for steel at high temperature. Metall. Trans. A. 23:1992;903-918.
4. Thomas B.G., Samaresekera I.V., Brimacombe J.K., Mathematical model of the thermal processing of steel ingots. Part II. Stress model. Metall. Trans. B. 18:1987;131-147.
5. Kelly J.E., Michalek K.P., O'Connor T.G., Thomas B.G., Dantzig J.A., Initial development of thermal and stress fields in continuosly cast steel billets. Metall. Trans. A. 19:1988;2589-2602. (in Japanese).
6. M.R. Ridolfi, B.G. Thomas, G. Li, U. Della Foglia, The Optimization of Mold Taper for the Ilva-Dalmine Round Bloom Caster, La Revue de Métallurgie, CIT, April 1994, pp. 609-620.
7. J.C. Simo, T.J.R. Hughes, Computational Inelasticity, Springer, New York, 1998.
8. Uehara M., Samarasekera I.V., Brimacombe J.K., Mathematical modelling of unbending of continuously cast steel slabs. Ironmaking and Steelmaking. 13(3):1986;138-153.
9. Wray P.J., Effect of carbon content on the plastic flow of plain carbon steels at elevated temperatures. Metall. Trans. A. 13:1982;125-134.
10. E. Dvorkin, M. Canga, Thermomechanical behavior of the mold in siderca continuous casting machine CC3. Case of φ 295 mm and carbon steel 042, Technical Report I 1.20/190-90, CINI, 1990.
11. A.E. Huespe, A. Cardona, V.D. Fachinotti, Determinación de Tensiones Térmicas en Aceros, Producidas en la Etapa Inicial del Proceso de Colada Continua, in: Mecánica Computacional AMCA, Bariloche, Argentina, vol. XVIII, 1997, pp. 185-194.
12. A. Cardona, A. Huespe, V. Fachinotti, Modelado termo-mecánico del proceso de colada continua de aceros, in: Proceedings of the Anales del XVIII Congresso Ibero Latino-Amer. de Mét. Comp. para Eng. (XVIII CILAMCE), vol. I, Brasília, Brasil, 1997, pp. 493-500.
13. S. Rugonyi, M. Goldschmit, E. Dvorkin, Análisis Numérico Experimental de la CC3 de SIDERCA. Informe de Avance III, Technical Report CINI I-998/96, October 1996.
14. Huespe A.E., Cardona A., Fachinotti V., Thermomechanical model of a continuous casting process. Comput. Meth. Appl. Mech. Eng. 182:2000;439-455.
15. Sakui S., Sakai T., Deformation bevaviours of a 0.16% C steel in the austenite range. Tetsu-to-Hagané 63(2):1977;285-293.
16. Grill A., Sorimachi K., The thermal loads in the finite element analysis of elasto-plastic stresses. Int. J. Num. Meth. Eng. 14(4):1979;499-506.
17. Dalin J.B., Chenot J.-L., Finite element computation of bulging in continuously cast steel with a viscoplastic model. Int. J. Num. Meth. Eng. 25:1988;147-163.
18. Kristiansson J.O., Thermal stresses in the early stage of solidification of steel. J. Therm. Stresses. 5:1982;315-330.
19. El-Bealy M., On the mechanism of halfwaycracks and macro-segregation in continuously cast steel slabs. I. Halfway cracks. Scand. J. Metall. 24:1995;63-80.
20. Williams J.R., Lewis R.W., Morgan K., An elasto-viscoplastic thermal stress model with applications to the continuous casting of metals. Int. J. Num. Meth. Eng. 14(1):1979;1-10.
21. R.W. Lewis, K. Morgan, P.M. Roberts, Determination of thermal stresses in solidification problems, in: J.F.T. Pittman, O.C. Zienkiewicz, R.D. Wood, J.M. Alexander (Eds.), Numerical Analysis of Forming Processes, Wiley, New York, 1984, Chapter 15, pp. 405-431.
22. Inoue T., Metallo-thermo-mechanical coupling. Application to the analysis of quenching, welding and continuous casting processes. Berg- und Hüttenmännische Monatshefte. 132(3):1987;63-71.
23. Bellet M., Decultieux F., Ménaï M., Bay F., Levaillant C., Chenot J.-L., Schmidt P., Svensson I.L., Thermomechanics of the cooling stage in casting processes: three-dimensional finite element analysis and experimental validation. Metall. Mater. Trans. B. 27:1996;81-99.
24. Li B.Q., Ruan Y., Integrated finite element model for transient fluid flow and thermal stresses during continuous casting. J. Therm. Stresses. 18:1995;359-381.
25. Huespe A.E., Cardona A., Nigro N., Fachinotti V., Viscoplastic constitutive models of steel at high temperature. J. Mater. Proc. Technol. 102:2000;143-152.
26. Susuki T., Tacke K.-H., Wünnemberg K., Schwerdtfeger K., Creep properties of steel at continuous casting temperatures. Ironmaking and Steelmaking. 15(2):1988;90-100.
27. A. Moitra, B.G. Thomas, W. Storkman, Thermo-mechanical model of steel shell behavior in continuous casting mold, in: Proceedings of the TMS Annual Meeting, San Diego, CA, March 1992.
28. Anand L., Constitutive equations for the rate-dependent deformation of metals at elevated temperatures. ASME J. Eng. Mater. Technol. 104:1982;12-17.
29. Okamura K., Kawashima H., Three-dimensional elasto-plastic and creep analysis of bulging in continuously cast slabs. ISIJ Int. 29:1989;666-672.
30. Harste K., Deisinger M., Steinert I., Tacke K.-H., Thermische und mechanische MODELLE zur Stranggießen. Stahl und Eisen. 115(4):1995;111-118.
31. C. Aliaga, E. Massoni, J.L. Treuil, 3D Numerical simulation of THEVP behavior using stabilized mixed F.E. formulation: application to 3D heat treatment, in: S. Idelsohn, E. Oñate, E. Dvorkin (Eds.), Computational Mechanics: New Trends and Applications, CIMNE, Barcelona, Spain, 1998.
32. A. Moitra, B.G. Thomas, H. Zhu, Application of a thermo-mechanical model for steel behavior in continuous slab casting, in: Proceedings of the 76th Steelmaking Conference, Dallas, TX, March 1993, pp. 657-667.
33. B.G. Thomas, A. Moitra, H. Zhu, Coupled thermo-mechanical model of solidifying steel shell applied to depression defects in continuous-cast slabs, in: Proceedings of the Modeling of Casting, Welding, and Advanced Solidification Processes VII, London, September 1995.
34. B.G. Thomas, H. Zhu, Thermal distortion of solidifying shell near meniscus in continuous casting of steel, in: Proceedings of the JIM/JTS Solidification Science and Processing Conference, Honolulu, HI, December 1995.
35. B.G. Thomas, A. Moitra, R. McDavid, Simulation of longitudinal off-corner depressions in continuously cast steel slabs, in: Proceedings of the Iron & Steel Society's Process Technology Conference, vol. 13, Nashville, TN, 1996, pp. 143-156.
36. B.G. Thomas, J.T. Parkman, Simulation of thermal mechanical behaviour during initial solidification, in: Proceedings of the Thermec'97 International Conference on Thermomechanical Processing of Steel and Other Materials, Wollongong, Australia, July 1997.
37. Bohemer J.R., Fett F.N., Funk G., Analysis of high-temperature behaviour of solidified material within a continuous casting machine. Comp. Struct. 47(4/5):1993;683-698.
38. Bodner S.R., Partom Y., A large deformation elastic-viscoplastic analysis of a thick-walled spherical shell. ASME J. Appl. Mech. 39:1972;751-757.
39. J. Lubliner, Plasticity Theory, Macmillan, New York, 1990.
40. Ebisu Y., Sekine K., Hayama M., Analysis of thermal and residual stresses of a low alloy cast steel ingot by the use of viscoplastic constitutive equations considering phase transformations. Tetsuo-to-Hagané 78(6):1992;894-901. (in Japanese).
41. Lee J.-E., Han H.N., Oh K.H., Yoon J.-K., A fully coupled analysis of fluid flow, heat transfer and stress in continuous round billet casting. ISIJ Int. 39(5):1999;435-444.
42. Han H.N., Lee J.-E., Yeo T.-J., Won Y.M., Kim K.-H., Oh K.H., Yoon J.-K., A finite element model for 2-dimensional slice of cast strand. ISIJ Int. 39(5):1999;445-454.