Abstract
A modified theoretical model is proposed to predict the grain boundary segregation of impurity atoms during high temperature plastic deformation. The model is based on the supersaturated vacancy-impurity complex created by plastic deformation and involves quasi-thermodynamics and kinetics. Model predictions are made for phosphorus grain boundary segregation during plastic deformation in ferrite steel. The results reveal that phosphorus segregates at grain boundaries during plastic deformation. At a given temperature, under a certain strain rate the segregation increases with increasing deformation amount until reaching a steady value, and at the same deformation amount it increases with increasing strain rate. The predicted results are compared with the available experimental values, indicating that there is a reasonable agreement between the theoretical predictions and the experimental observations.
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Mintz B. The influence of composition on the hot ductility of steels and to the problem of transverse cracking. ISIJ Int, 1999, 39: 833–855
Guo A M, Wang Y H, Shen D D, et al. Influence of phosphorus on the hot ductility of 2.25CrMo steel. Mater Sci Technol, 2003, 19: 1553–1556
Song S H, Yuan Z X, Jia J, et al. The role of tin in the hot ductility deterioration of a low-carbon steel. Metall Mater Trans A, 2003, 34A: 1611–1616
Matsuoka H, Osawa K, Ono M, et al. Influence of Cu and Sn on hot ductility of steels with various C content. ISIJ Int, 1997, 37: 255–262
Mclean D. Grain Boundaries in Metals. London: Oxford University Press, 1957
Faulkner R G. Non-equilibrium grain-boundary segregation in austenitic alloys. J Mater Sci, 1981, 16: 373–383
Xu T D. A model for intergranular segregation/dilution induced by applied stress. J Mater Sci, 2000, 35: 5621–5628
Faulkner R G, Song S H, Flewitt P E J, et al. Grain boundary segregation under neutron irradiation in dilute alloys. J Nucl Mater, 1998, 255: 189–209
Nachtrab W T, Chou Y T. Grain boundary segregation of copper, tin and antimony in C-Mn steels at 900°C. J Mater Sci, 1984, 19: 2136–2144
Song S H, Zhang Q, Weng L Q. Deformation-induced non-equilibrium grain boundary segregation in dilute alloys. Mater Sci Eng A, 2008, 473: 226–232
He X L, Chu Y Y, Jonas J J. The grain boundary segregation of boron during isothermal holding. Acta Metall, 1989, 37: 2905–2916
Militzer M, Sun W P, Jonas J J. Modelling the effect of deformation-induced vacancies on segregation and precipitation. Acta Metall Mater, 1994, 42: 133–141
Zehetbauer M J, Steiner G, Schafler E, et al. Deformation induced vacancies with severe plastic deformation: Measurements and modelling. Mater Sci Forum, 2006, 503–504: 57–64
Lindgren L E, Domkin K, Hansson S. Dislocations, vacancies and solute diffusion in physical based plasticity model for AISI 316L. Mech Mater, 2008, 40: 907–919
Murty K, Detemple K, Kanert O, et al. In-situ nuclear magnetic resonance investigation of strain, temperature, and strain-rate variations of deformation-induced vacancy concentration in aluminum. Metall Mater Trans A, 1998, 29: 153–159
Williams T M, Stoneham A M, Harries D R. The segregation of boron to grain boundaries in solution-treated Type 316 austenitic stainless steel. Metal Sci, 1976, 10: 14–19
Xu T D, Song S H. A kinetic model of non-equilibrium grainboundary segregation. Acta Metall, 1989, 37: 2499–2506
Chen X M, Song S H. Unpublished work. Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, China
Xu T D, Cheng B Y. Kinetics of non-equilibrium grain-boundary segregation. Prog Mater Sci, 2004, 49: 109–208
Laasraoui A, Jonas J J. Prediction of steel flow stresses at high temperatures and strain rates. Metall Mater Trans A, 1991, 22A: 1545–1558
Bailey J E, Hirsch P B. The dislocation distribution, flow stress, and stored energy in cold-worked polycrystalline silver. Philos Mag A, 1960, 5: 485–497
Chen X M, Song S H. Plastic deformation-induced phosphorus segregation to ferrite grain boundaries in an interstitial free steel. Mater Sci Eng A, 2010, 527: 7580–7584
Latella B A, Humphries S R. Young’s modulus of a 2.25Cr-1Mo steel at elevated temperature. Scr Mater, 2004, 51: 635–639
Zehetbauer M, Mikulowski B. Deformation induced vacancies and work hardening of metals. Arch Metall, 2001, 46: 65–80
Vincent E, Becquart C S, Domain C. Solute interaction with point defects in α-Fe during thermal ageing: A combined ab initio and atomic kinetic Monte Carlo approach. J Nucl Mater, 2006, 351: 88–99
Faulkner R G, Song S H, Flewitt P E J. Determination of impurity-point defect binding energies in alloys. Mater Sci Technol, 1996, 12: 904–910
Song S H, Faulkner R G, Flewitt P E J. Quenching and tempering induced molybdenum segregation to grain boundaries in a 2.25Cr1Mo steel. Mater Sci Eng A, 2000, 281: 23–27
Song S H, Weng L Q. Diffusion of solute-vacancy complexes in alloys. Mater Sci Technol, 2005, 21: 305–310
Yoshie A, Morikawa H, Onoe Y, et al. Formulation of static recrystallization of austenite in hot rolling process of steel plate. Trans ISIJ, 1987, 27: 425–431
Lejcek P. Grain Boundary segregation in Metals. Berlin Heidelberg: Springer, 2010
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Chen, X., Song, S. Modelling of grain boundary impurity segregation during high temperature plastic deformation. Sci. China Phys. Mech. Astron. 54, 872–877 (2011). https://doi.org/10.1007/s11433-011-4311-3
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DOI: https://doi.org/10.1007/s11433-011-4311-3