McFadden, G.
, Coriell, S.
and Sekerka, R.
(2000),
Effect of Surface Free Energy Anisotropy on Dendrite Tip Shape, Acta Materialia, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=150765 (Accessed May 5, 2026)
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Effect of Surface Free Energy Anisotropy on Dendrite Tip Shape
Published
Author(s)
, , R F. Sekerka
Abstract
In previous work, we found approximate solutions for paraboloids having perturbations with four-fold axial symmetry in order to model dendritic growth in cubic materials. These solutions provide self-consistent corrections through second order in a shape parameter ε to the Peclet number -- supercooling relation of the Ivantsov solution. The parameter ε is proportional to the amplitude of the four-fold correction to the dendrite shape, as measured from the Ivantsov paraboloid of revolution. We calculate ε by comparing the dendrite tip shape to the portion of the equilibrium shape near the [001] direction for a four-fold anisotropic surface free energy. This comparison results in good agreement with the measured value ε {nearly equal to} -0.008 of LaCombe et al.Citation
Acta Materialia
Volume
48
Issue
12
Pub Type
Journals
Download Paper
Keywords
dendritic growth, ivantsov relation, non-axisymmetric dentrites, supercooled liquids
Citation
Issues
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Created July 1, 2000, Updated February 17, 2017