A Solute Pinning Approach to Solute Drag in Multi-Component Solid Solution Alloys


The Cahn, Lücke and Stüwe theory remains the backbone of more complex analysis dealing with solute drag,
however, the mathematical treatment is rather involved. A new approach based on solute pinning the boundary
has therefore recently been suggested, which has the main advantage of a simpler mathematical treatment. In
the present paper this approach has been generalized to take into account the influence of different types of solute atoms in the high solute content/low driving force regime.

Share and Cite:

E. Hersent, K. Marthinsen and E. Nes, "A Solute Pinning Approach to Solute Drag in Multi-Component Solid Solution Alloys," Modeling and Numerical Simulation of Material Science, Vol. 4 No. 1, 2014, pp. 8-13. doi: 10.4236/mnsms.2014.41002.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] J. W. Cahn, “The Impurity-Drag Effect in Grain Boundary Motion,” Acta Metallurgica, Vol. 10, No. 9, 1962, pp. 768-798.
[2] K. Lücke and H. P. Stüwe, “On the Theory of Impurity Controlled Grain Boundary Motion,” Acta Metallurgica, Vol. 19, No. 10, 1971, pp. 1087-1099.
[3] J. ?gren, “A Simplified Treatment of the Transition from Diffusion Controlled to Diffusion-Less Growth,” Acta Metallurgica, Vol. 37, No. 1, 1989, pp. 181-189.
[4] M. Enomoto, “Influence of Solute Drag on the Growth of Proeutectoid Ferrite in Fe-C-Mn Alloy,” Acta Materialia, Vol. 47, No. 13, 1999, pp. 3533-3540.
[5] G. R. Purdy and Y. J. M. Brechet, “A Solute Drag Treatment of the Effects of Alloying Elements on the Rate of the Proeutectoid Ferrite Transformation in Steels,” Acta Metallurgica and Materialia, Vol. 43, No. 10, 1995, pp. 3763-3774.
[6] M. Hillert, “Solute Drag in Grain Boundary Migration and Phase Transformations,” Acta Materialia, Vol. 52, No. 18, 2004, pp. 5289-5293.
[7] J. Odqvist, B. Sundman and J. ?gren, “A General Method for Calculating Deviation from Local Equilibrium at Phase Interfaces,” Acta Materialia, Vol. 51, No. 4, 2003, pp. 1035-1043.
[8] J. Svoboda, E. Gamsj?ger, F. D. Fischer and P. Fratzl, “Application of the Thermodynamic Extremal Principal to the Diffusional Phase Transformations,” Acta Materialia, Vol. 52, No. 4, 2004, pp. 959-967.
[9] J. Svoboda, J. Vala, E. Gamsj?ger and F. D. Fischer, “A Thick-Interface Model for Diffusive and Massive Phase Transformation in Substitutional Alloys,” Acta Materialia, Vol. 54, No. 15, 2006, pp. 3953-3960.
[10] Y. J. M. Bréchet and G. R. Purdy, “Solute Drag in Ternary Solid Solutions,” Acta Materialia, Vol. 51, No. 18, 2003, pp. 5587-5592.
[11] M. I. Mendelev and D. J. Srolovitz, “Co-Segregation Effects on Boundary Migration,” Interface Science, Vol. 10, No. 2-3, 2002, pp. 191-199.
[12] E. Hersent, K. Marthinsen and E. Nes, “The Effect of Solute Atoms on Grain Boundary Migraton: A Solute Pinning Approach,” Metallurgical and Materials Transactions A, Vol. 44, No. 7, 2013, pp. 3364-3375.
[13] G. G. Gottstein and G. G. L. S. Shvindlerman, “Grain Boundary Migration in Metals: Thermodynamics, Kinetics, Applications,” 2nd Edition, CRC Press, Boca Raton, 2009.
[14] K. Lücke and K. Detert, “A Quantitative Theory of Grain- Boundary Motion and Recrystallization in Metals in the Presence of Impurities,” Acta Metallurgica, Vol. 5, No. 11, 1957, pp. 628-637.
[15] H. E. Vatne, “Modelling the Evolution of Microstructure and Mechanical Properties during Back-Annealing of Rolled Sheets of AA3XXX Aluminium Alloys,” Proceedings of the 3rd International Conference on Modelling of Metal Rolling Processes, London, 13-15 December 1999, pp. 247-256.
[16] O. Engler, L. L?chte and J. Hirsch, “Through-Process Simulation of Texture and Properties during the Thermomechanical Processing of Aluminium Sheets,” Acta Materialia, Vol. 55, No. 16, 2007, pp. 5549-5463.
[17] J. A. S?ter, B. Forbord, H. E. Vatne and Erik Nes, “Modelling Recovery and Recrystallization; Applied to Back-Annealing of Aluminium Sheet Alloys,” Proceedings of the 6th International Conference on Aluminium Alloys, Toyohashi, 5-10 July 1998, pp. 113-126.
[18] H. E. Vatne, T. Furu, R. ?rsund and E. Nes, “Modelling Recrystallization after Hot Deformation of Aluminiumch,” Acta Materialia, Vol. 44, No. 11, 1996, pp. 4463-4473.

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.