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A Numerical Study of Kinetics in Spinodal Decomposition

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Modulated Structure Materials

Part of the book series: Nato ASI Series ((NSSE,volume 83))

Summary

A numerical scheme is provided for the time evolution of a periodic composition wave leading to a stationary configuration. Two specific cases of growth are considered in which the initial conditions defined as a single cosinusoidal wave and as a superposition of eighty cosinusoidal waves of different wavelengths. A comparison of the numerical solution with existing analytical solution is shown, resulting in a simple semi-empirical growth law for studying the kinetics of spinodal decomposition in alloys.

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References

  1. J.W. Cahn, “On Spinodal Decomposition,” Acta Metal1. 9, 795–801 (1961).

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  4. J.S. Lanqer, “Theory of Spinodal Decomposition in Alloys,” Annals of Physics 65, 53-86 (1971).

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  5. T. Tsakalakos, “Interdiffusion and Enhanced Elastic Modules Effect in Composition Modulated Copper-Nickel Thin Foils,” Ph.D. Thesis, Northwestern University, Evanston, Illinois (1977).

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  6. J.H. Cahn and J.E. Hilliard, “Free Energy of a Nonuniform System. I. Interfacial Free Energy,” J. Chem. Phys. 28, 25–267 (1958).

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  7. T. Tsakalakos and M.P. Dugan, “Nonlinear Diffusion in Spinodal Decomposition,” to be published.

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  8. B. Ditcheck and L.H. Schwartz, “Applications of Spinodal Alloys,” Ann. Rev. Mater. Sci. 9.,219–253 (1979).

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Author information

Authors and Affiliations

  1. Department of Mechanics and Materials Science, College of Enqineering, Rutgers University, Piscataway, NJ, 08854, USA

    T. Tsakalakos & M. P. Dugan

  2. RCA Solid State Technology Center, Route 202, Somerville, NJ, 08876, USA

    T. Tsakalakos & M. P. Dugan

Authors
  1. T. Tsakalakos
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  2. M. P. Dugan
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Editor information

Editors and Affiliations

  1. Department of Mechanics and Materials Science, Rutgers University, Piscataway, NJ, 08854, USA

    T. Tsakalakos

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© 1984 Martinus Nijhoff Publishers, Dordrecht

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Tsakalakos, T., Dugan, M.P. (1984). A Numerical Study of Kinetics in Spinodal Decomposition. In: Tsakalakos, T. (eds) Modulated Structure Materials. Nato ASI Series, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6195-1_22

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  • DOI: https://doi.org/10.1007/978-94-009-6195-1_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6197-5

  • Online ISBN: 978-94-009-6195-1

  • eBook Packages: Springer Book Archive

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