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Phase-field investigation of multicomponent diffusion in single-phase and two-phase diffusion couples

  • Section I: Basic And Applied Research
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Abstract

Interdiffusion in hypothetical ternary single-phase and two-phase diffusion couples are examined using a phase-field model by numerically solving the nonlinear Cahn-Hilliard and Ginzburg-Landau equations. For diffusion couples assembled with a regular single-phase solution, constant chemical mobilities were used to examine the development of concentration profiles including uphill diffusion and zero-flux plane. Zero-flux plane for a component was observed to develop for a diffusion couple at the composition that corresponds to the activity of that component in one of the terminal alloys. Experimental thermodynamic parameters and composition-dependent chemical mobilities were used to examine the morphological evolution of the interphase boundary in solid-to-solid, two-phase diffusion couples. Instability at the interphase boundary was introduced initially (t=0) by a small compositional fluctuation at the diffuse interface, and its evolution varied largely as a function of terminal alloys and related composition-dependent chemical mobility.

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References

  1. J.W. Cahn and J.E. Hilliard, Free Energy of a Nonuniform System. I. Interfacial Free Energy,J. Chem. Phys., 1958,28(2), p 258–267

    Article  ADS  Google Scholar 

  2. L.Q. Chen, Phase-Field Model for Microstructure Evolution,Annu. Rev. Mater. Res., 2002,32, p 113–140

    Article  Google Scholar 

  3. K. Wu, J.E. Morral, and Y. Wang, A Phase Field Study of Microstructural Changes Due to The Kirkindal Effect in Two-phase Diffusion Couples,Acta Mater., 2001,49, p 3401–3408

    Article  Google Scholar 

  4. K. Wu and Y. Wang, Predicting Interdiffusion Microstructures Using the Phase Field Approach,Elevated Temperature Coatings: Science and Technology IV, N. Dahorte, J. Hampikian, J. Morral, ed., The Minerals, Metals, & Materials Society, 2001

  5. U. Grafe, B. Botteger, J. Tiaden, and S.G. Fries, Coupling of Multicomponent Thermodynamic Database to a Phase Field Model: Application to Solidification and Solid State Transformations of Superalloys,Scripta Mater., 2000,42, p 1179–1186

    Article  Google Scholar 

  6. K. Wu, Y.A. Chang, and Y. Wang, Simulating Interdiffusion Microstructures in Ni-Al-Cr Diffusion Couples: A Phase Field Approach Coupled with CALPHAD Database,Scripta Mater., 2004,50, p 1145–1150

    Article  Google Scholar 

  7. Q. Chen, N. Ma, K. Wu, and Y. Wang, Quantitative Phase Field Modeling of Diffusion-Controlled Precipitate Growth and Dissolution in Ti-Al-V,Scripta Mater., 2003,50, p 471–476

    Google Scholar 

  8. M.A. Dayananda and C.W. Kim, Zero-Flux Planes and Flux Reversals in Cu-Ni-Zn Diffusion Couples,Metall. Trans. A, 1979,10A, p 1333–1339

    Google Scholar 

  9. M.A. Dayananda, An Analysis of Concentration Profiles for Fluxes, Diffusion Depths, and Zero-Flux Planes in Multicomponent Diffusion,Metall. Trans. A, 1983,14A, p 1851–1858

    Google Scholar 

  10. C.W. Kim and M.A. Dayananda, Identification of Zero-Flux Planes and Flux Reversals in Several Studies of Ternary Diffusion,Metall. Trans. A, 1983,14A, p 857–864

    Google Scholar 

  11. C.W. Kim and M.A. Dayananda, Zero-Flux Planes and Flux Reversals in Cu-Ni-Zn Diffusion Couples at 775 °C,Metall. Trans. A, 1984,15A, p 649–659

    Google Scholar 

  12. J.G. Duh and M.A. Dayananda, Interdiffusion in Fe-Ni-Cr Alloys at 1100 °C,Metall. Trans. A, 1984,15A, p 649–659

    Google Scholar 

  13. R.D. Sisson Jr. and M.A. Dayananda, Diffusion Structures in Multiphase Cu-Ni-Zn Couples,Metall. Trans., 1972,3, p 647–652

    Article  Google Scholar 

  14. Y.H. Sohn, A. Puccio, and M.A. Dayananda, Interdiffusion Structures and Paths for Multiphase Fe-Ni-Al Diffusion Couples at 1000 °C,Metall. Mater. Trans. A, 2005,36, p 2361–2370

    Article  Google Scholar 

  15. C. Huang, M. Olvera de la Cruz and B.W. Swift: “Phase Separation of Ternary Mixtures: Symmetric Polymer Blends,”Macromolecules, 1995,28, p 7996–8005

    Article  Google Scholar 

  16. C. Huang, M. Olvera de la Cruz, and P.W. Voorhees, Interfacial Adsorption in Ternary Alloys,Acta Mater., 1999,47(17), p 4449–4459

    Article  Google Scholar 

  17. Y. Wang, D. Banerjee, C.C. Su, and A.G. Khachaturyan, Field Kinetic Model and Computer Simulation of Precipitation of L12 Ordered Intermetallics from F.C.C Solid Solution,Acta Mater., 1999,46(9), p 2983–3001

    Article  Google Scholar 

  18. W. Huang and Y.A. Chang, Thermodynamic Properties of the Ni-Al-Cr System,Intermetallics, 1999,7, p 863–874

    Article  Google Scholar 

  19. S. Bhattacharyya, “Phase Separation in Ternary Alloys: A Diffuse Interface Approach,” M.Sc. thesis, Indian Institute of Science, 2002

  20. R.R. Mohanty, “A Diffuse Interface Model Study of Spinodal Decomposition Inside a Particle,” M.E. thesis, Indian Institute of Science, 2002

  21. P.G. Shewmon,Diffusion in Solids, McGraw-Hill Book Company, 1963

  22. S.M. Allen and J.W. Cahn, A Microscopic Theory of Antiphase Boundary Motion and its Application to Antiphase Domain Coarsening,Acta Metall., 1979,27, p 1085–1095

    Article  Google Scholar 

  23. H.E. Cook, Brownian Motion in Spinodal Decomposition,Acta Metall., 1970,18, p 297–306

    Article  Google Scholar 

  24. M.A. Dayananda and Y.H. Sohn, A New Approach for the Determination of Interdiffusion Coefficients in Ternary Systems,Metall. Mater. Trans. A, 1999,30(3), p 535–544

    Article  Google Scholar 

  25. R.D. Sission and M.A. Dayananda, Diffusional and Thermodynamic Interactions in the Cu-Ni-Zn System at 775 °C,Metall. Trans. A, 1977,8, p 1849–1856

    Article  Google Scholar 

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Authors and Affiliations

  1. Advanced Materials Processing and Analysis Center, and Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, FL

    R. R. Mohanty & Y. Sohn

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  1. R. R. Mohanty
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  2. Y. Sohn
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Correspondence to R. R. Mohanty.

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Mohanty, R.R., Sohn, Y. Phase-field investigation of multicomponent diffusion in single-phase and two-phase diffusion couples. JPED 27, 676–683 (2006). https://doi.org/10.1007/BF02736572

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  • DOI: https://doi.org/10.1007/BF02736572

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