Diffusionless crystal growth in a eutectic system during rapid solidification

  • P. K. Galenko
  • D. M. Herlach
Statistical, Nonlinear, and Soft Matter Physics


Experiments on nonequilibrium rapid eutectic growth are surveyed. The applicability limits of the modern theoretical models describing rapid solidification of binary systems are assessed. A problem of rapid eutectic growth when the local equilibrium is violated in the solute diffusion field (in the bulk liquid and at the solid-liquid interface) is formulated. An analytical solution to the problem of rapid lamellar eutectic growth under local nonequilibrium conditions in the solute diffusion field is found. It is shown that the diffusion-limited growth of a eutectic pattern ceases as soon as a chemically homogeneous crystalline phase begins to grow when the critical point V=V D is achieved (V is the solid-liquid interface velocity and V D is the solute diffusion speed in the bulk liquid). At VV D, eutectic decomposition is suppressed and the nascent homogeneous crystalline phase has the initial (nominal) chemical composition of the binary system.

PACS numbers

05.70.Fh 81.10.Aj 81.30.Fb 


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  1. 1.
    K. A. Jackson and J. D. Hunt, Trans. Metall. Soc. AIME 236, 1129 (1966).Google Scholar
  2. 2.
    M. C. Flemings, Solidification Processing (McGraw-Hill, New York, 1974; Mir, Moscow, 1977).Google Scholar
  3. 3.
    W. Kurz and P. R. Sahm, Gerichter Erstarrte Eutektische Werkstoffe (Springer, Berlin, 1975; Metallurgiya, Moscow, 1980).Google Scholar
  4. 4.
    Yu. N. Taran and V. I. Mazur, Structure of Eutectic Alloys (Metallurgiya, Moscow, 1978) [in Russian].Google Scholar
  5. 5.
    R. P. Elliot, Eutectic Solidification Processing. Crystalline and Glassy Alloys (Butterworths, London, 1983; Metallurgiya, Moscow, 1987).Google Scholar
  6. 6.
    W. Kurz and D. J. Fisher, Fundamentals of Solidification (Trans. Tech., Aedermannsdorf, 1992).Google Scholar
  7. 7.
    H. Müller-Krumbhaar, W. Kurz, and E. Brener, in Phase Transformations in Materials, Ed. by G. Kostorz (Wiley, Weinheim, 2001), p. 81.CrossRefGoogle Scholar
  8. 8.
    R. Trivedi, P. Magnin, and W. Kurz, Acta Metall. 35, 971 (1987).CrossRefGoogle Scholar
  9. 9.
    W. Kurz and R. Trivedi, Metall. Trans. A 22, 3051 (1991).Google Scholar
  10. 10.
    D. M. Herlach, P. K. Galenko, and D. Holland-Moriz, Metastable Solids from Undercooled Melts (Elsevier, Amsterdam, 2006).Google Scholar
  11. 11.
    P. K. Galenko, Zh. Tekh. Fiz. 65(11), 110 (1995) [Tech. Phys. 40, 1149 (1995)].Google Scholar
  12. 12.
    S. L. Sobolev, Zh. Tekh. Fiz. 68(3), 45 (1998) [Tech. Phys. 43, 307 (1998)].MathSciNetGoogle Scholar
  13. 13.
    P. Galenko and S. Sobolev, Phys. Rev. E 55, 343 (1997).CrossRefADSGoogle Scholar
  14. 14.
    B. Wei, D. M. Herlach, and F. Sommer, J. Mater. Sci. Lett. 12, 1774 (1993).CrossRefGoogle Scholar
  15. 15.
    I. S. Miroshnichenko, in Growth and Defects of Metallic Crystals, Ed. by D. E. Ovsienko (Naukova Dumka, Kiev, 1972), p. 385 [in Russian].Google Scholar
  16. 16.
    I. S. Miroshnichenko, in Stable and Metastable Phase Equilibria in Metallic Systems, Ed. by M. E. Dritz (Nauka, Moscow, 1975), p. 151 [in Russian].Google Scholar
  17. 17.
    I. S. Miroshnichenko, Quenching from the Liquid State (Metallurgiya, Moscow, 1982) [in Russian].Google Scholar
  18. 18.
    S. Walder and P. L. Ryder, J. Appl. Phys. 74, 6100 (1993).CrossRefADSGoogle Scholar
  19. 19.
    I. S. Miroshnichenko and I. M. Galushko, in Kinetics and Mechanism of Crystallization, Ed. by N. N. Sirota (Nauka i Tekhnika, Minsk, 1973), p. 356 [in Russian].Google Scholar
  20. 20.
    P. K. Galenko and D. A. Danilov, Phys. Lett. A 235, 271 (1997).CrossRefADSGoogle Scholar
  21. 21.
    P. K. Galenko and D. A. Danilov, J. Cryst. Growth 197, 992 (1999).CrossRefGoogle Scholar
  22. 22.
    P. K. Galenko, Mater. Sci. Eng. A 375–377, 493 (2004).Google Scholar
  23. 23.
    P. K. Galenko and D. A. Danilov, Phys. Rev. E 69, 051608 (2004).Google Scholar
  24. 24.
    D. E. Temkin, Kristallografiya 15, 421 (1970) [Sov. Phys. Crystallogr. 15, 360 (1970)].Google Scholar

Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • P. K. Galenko
    • 1
  • D. M. Herlach
    • 1
  1. 1.Institute of Space SimulationGerman Aerospace CenterCologneGermany

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