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Effect of interface anisotropy on spacing selection in constrained dendrite growth

I. Steinbach

Acta Materialia, 56, 4965-4971, (2008)

DOI: 10.1016/j.actamat.2008.06.009

Download: BibTEX

The selection of spacing in directional dendritic solidification is investigated numerically using the phase-field method in two and t dimensions. A criterion for the critical spacing below which no stable array growth can exist is derived from analysis of individual shapes. Constricted solute diffusion in the array leads to a deformation of the dendrite tip shape that competes with the deformation to surface tension anisotropy. At the critical spacing both effects balance and a stable growth solution is destroyed. This mechanism identified to determine the critical spacing of a dendritic array and leads to a dependence of the spacing on the anisotropy of the so liquid interface energy in a similar way as for the dendrite tip radius.

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{"type":"article", "name":"i.steinbach20081", "author":"I. Steinbach", "title":"Effect of interface anisotropy on spacing selection in constrained dendrite growth", "journal":"Acta Materialia", "volume":"56", "OPTnumber":"", "OPTmonth":"1", "year":"2008", "OPTpages":"4965-4971", "OPTnote":"", "OPTkey":"Dendritic solidification; Phase-field simulation; Spacing selection", "DOI":"10.1016/j.actamat.2008.06.009"}
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