Mode selection in a caricature of eutectic solidification View Full Text


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Article Info

DATE

1982-09

AUTHORS

V. Datye, R. Mathur, J. S. Langer

ABSTRACT

We have studied the problem of mode selection, specifically, selection of the lamellar spacing, in eutectic solidification, by constructing a caricature of a thin-film eutectic solidifying at constant velocity in the presence of a finite temperature gradient and in a slightly noisy environment. Our model incorporates mechanisms which allow termination of substable lamellae and creation of new lamellae by the splitting of lamellae larger than a spacing λmax. We have studied this model both by a simple analytic approximation and by computer simulation. We find that both the steady state spacing and the regularity of the pattern are sensitively dependent on the ratio λmax/λmin, where λmin is the minimum spacing required for steady state stability. An additional result to emerge from our investigation is that when λmax becomes less than a critical value, the system apparently undergoes a transition into a chaotic state. More... »

PAGES

1-16

References to SciGraph publications

  • 1971-12. The growth of lamellar eutectic structures in the Pb−Sn and Al−CuAl2 systems in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01008244

    DOI

    http://dx.doi.org/10.1007/bf01008244

    DIMENSIONS

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