Eutectic spacing selection in the lead-tin eutectic system |
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Authors: | Jincheng Liu R Elliott |
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Affiliation: | (1) Manchester Materials Science Centre, University of Manchester, 7HS Manchester, MI, England |
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Abstract: | It is well established that the regular lamellar eutectic structure exhibits a limited range of spacings rather than a unique
spacing during steady-state growth at constant velocity. The min-imum observed spacing corresponds to the extreme spacing
predicted by the Jackson-Hunt (JH) theory. However, the maximum observed spacing is much less than the maximum spacing pre-dicted
by this theory. In this article, the assumption of a planar interface made by Jackson and Hunt is relaxed, and the boundary
element method is used to calculate the solute distribution for a curved interface. An iterative method is used to calculate
the maximum spacing for which a self-consistent interface shape exists for several velocities. This maximum self-consistent
spac-ing introduces an upper bound into the JH model and shows good agreement with the maximum observed spacing in the Pb-Sn
system. The deepest point on the self-consistent interface shape at the maximum spacing does not lie in a deep pocket. It
is below the conjunction point but close to it. |
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Keywords: | |
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