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Modeling of the dynamics of transient liquid films in ternary systems

  • Section I: Basic And Applied Research
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Abstract

The presence of a concentration gradient across a thin liquid film leads to the phenomenon of isothermal liquid film migration (LFM). In most cases, the concentration gradient is due to coherency stresses, and the migration of the liquid film results in the relaxation of these stresses. It is also possible to envisage cases in which LFM occurs as a result of chemical solubility differences between stable and metastable phases. Both situations are examined in this contribution with special emphasis on the effect of adding a second solute element to the liquid phase. The kinetics of LFM is examined as a function of the initial liquid concentration and the ratio of the solute diffusion coefficients in a model coherency-driven ternary system. The growth of the Γ2 inside δ particles in the Zn-Fe-Al system is presented as a possible example of chemically driven LFM.

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References

  1. I. Tauh-Pouk, M. Dollar, and T.B. Massalski, Study of the Transient Liquid Phase Bonding Process Applied to a Ag/Cu/Ag Sandwich Joint,Metall. Trans. A, 1988,19, p 675–686

    Article  Google Scholar 

  2. D.N. Yoon and W.J. Huppmann, Chemically-Driven Growth of Tungsten Grains During Sintering in Liquid Nickel,Acta Metall., 1979,27, p 973–977

    Article  Google Scholar 

  3. Y.-D. Song, S.-T. Ahn, and D.N. Yoon, Chemically Induced Migration of Liquid Film in W-Ni-Fe Alloy,Acta Metall., 1985,33, p 1907–1910

    Article  Google Scholar 

  4. Y.-J. Baik and D.N. Yoon, Migration of Liquid Film and Grain Boundary in Mo-Ni Induced by Temperature Change,Acta Metall., 1985,33, p 1911–1917

    Article  Google Scholar 

  5. Y.-J. Baik and D.N. Yoon, Effect of Curvature on the Grain Boundary Migration Induced by Diffusional-Coherency Strain in Mo-Ni Alloy,Acta Metall., 1987,35, p 2265–2271

    Article  Google Scholar 

  6. M. Hillert, On the Driving Force for Diffusion Induced Grain Boundary Migration,Scripta Metall., 1983,17, p 237–240

    Article  Google Scholar 

  7. D.N. Yoon, J.W. Chan, C.A. Handwerker, J.E. Blendell, and Y.J. Baik,Interface Migration and Control of Microstructure, C.S. Pande, A.H. King, and J. Walter, Ed., ASM International, 1986, p 19

  8. W.-H. Rhee, Y.-D. Song, and D.N. Yoon, A Critical Test for the Coherency Strain Effect on Liquid Film and Grain Boundary Migration in Mo-Ni-(Co-Sn) Alloy,Acta Metall., 1987,35, p 57–59

    Article  Google Scholar 

  9. Y. Brechet and G.R. Purdy, Comment on the Process of Liquid Film Migration,Scripta Metall., 1988,22, p 1629–1633

    Article  Google Scholar 

  10. S.W. Barker and G.R. Purdy, On Liquid Film Migration in Aluminium-Copper Alloys,Acta Mater., 1998,46, p 511–524

    Article  Google Scholar 

  11. C.W. Sinclair, G.R. Purdy, and J.E. Morral, Transient Liquid Phase Bonding in Two-Phase Ternary Systems,Metall. Mater. Trans. A, 2000,31, p 1187–1192

    Article  Google Scholar 

  12. G.R. Purdy, D.V. Malakhov, and A. Guha, Homogenization of Multicomponent Alloys Via Partial Melting,J. Phase Equilib., 2001,22, p 439–450

    Article  Google Scholar 

  13. S. Yamaguchi, H. Makino, A. Sakatoka, and Y. Iguchi,Galvatech ’95 (Chicago, IL), Iron and Steel Society, Warrendale, PA, 1995, p 787–794

    Google Scholar 

  14. S. Yamaguchi, private communication

  15. J. Nakano, D.V. Malakhov, and G.R. Purdy, A Crystallographically Consistent Optimization of the Ze-Fe system,CALPHAD, 2005,29, p 276–288

    Article  Google Scholar 

  16. J. Nakano, “A Computational Thermodynamic Study of the Systems Zn-Fe and Zn-Fe-Al,” Ph.D. thesis, McMaster University, 2006

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Correspondence to Hatem S. Zurob.

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Zurob, H.S., Nakano, J. & Purdy, G.R. Modeling of the dynamics of transient liquid films in ternary systems. JPED 27, 699–706 (2006). https://doi.org/10.1007/BF02736575

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  • DOI: https://doi.org/10.1007/BF02736575

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