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Article Dans Une Revue Philosophical Magazine Année : 2010

Remarks on some open problems in phase-field modelling of solidification

Résumé

Three different topics in phase-field modelling of solidification are discussed, with particular emphasis on the limitations of the currently available modelling approaches. First, thin-interface limits of two-sided phase-field models are examined, and it is shown that the antitrapping current is in general not sufficient to remove all thin-interface effects. Second, orientation-field models for polycrystalline solidification are analyzed, and it is shown that the standard relaxational equation of motion for the orientation field is incorrect in coherent polycrystalline matter. Third, it is pointed out that the standard procedure of incorporating fluctuations into the phase-field approach cannot be used in a straightforward way for a quantitative description of nucleation.

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hal-00603442 , version 1 (25-06-2011)

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Mathis Plapp. Remarks on some open problems in phase-field modelling of solidification. Philosophical Magazine, 2010, pp.1. ⟨10.1080/14786435.2010.486757⟩. ⟨hal-00603442⟩
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