[Croissance équiaxe de dendrites Al–Cu en interaction dans des échantillons minces : une étude de champ de phase à des concentrations de cuivre pertinentes pour des applications pratiques]
Nous réalisons des simulations de type champ de phase tri-dimensionnel de la solidification equiaxe dans les échantillons minces d’Al–Cu. Des conditions purement diffusives sont considérées pour décrire des systèmes où la convection et la gravité peuvent être négligées. L’utilisation d’un algorithme parallèle adaptatif de type éléments finis proposé récemment [Gong et al., Comput. Mater. Sci. 147 (2018) p. 338-352] nous permet d’atteindre le domaine des concentrations en cuivre utisées dans les applications pratiques ( wt% Cu). Nous comparons nos résultats à ceux d’une étude antérieure qui, en raison de l’utilisation d’un code de différences finies, était restreinte à des concentrations de cuivre plus faibles ( wt% Cu) [Boukellal et al., Materialia 1 (2018) p. 62-69]. Dans le régime de croissance dendritique rapide, nos résultats confirment que la longueur de croissance adimensionnée est indépendante de la concentration du cuivre et de la distance moyenne séparant les germes dendritiques. Les nouveaux résultats obtenus aux concentrations plus élevées conduisent à une estimation plus précise de . Des arguments physiques sont développés pour préciser la signification de et les fondements de la loi d’échelle . La comparaison avec les résultats expérimentaux disponibles dans la litérature scientifique apporte une confirmation supplémentaire de cette loi d’échelle.
We perform three-dimensional phase-field simulations of equiaxed solidification in Al–Cu thin samples. Purely diffusive conditions are considered in order to describe systems where convection and gravity effects can be neglected. The use of a parallel adaptive finite element algorithm introduced recently [Gong et al., Comput. Mater. Sci. 147 (2018) p. 338-352] allows us to reach the domain of copper concentrations used in practical applications ( wt% Cu). We compare the present results with those of a previous study which was restricted to lower copper concentrations ( wt% Cu) [Boukellal et al., Materialia 1 (2018) p. 62-69] due to the use of a finite difference code. In the fast dendritic growth regime, our results confirm that the dimensionless growth length is independent of the copper concentration and the average separation distance between the dendrite nuclei. The new data obtained at higher copper concentrations lead to a more accurate estimate of . Physical arguments are developed to specify the meaning of and the grounds of the scaling law . Comparisons with available experimental results of the literature give additional support to this scaling law.
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Mot clés : Métaux et alliages, Solidification, Diffusion des solutés, Structure des grains, Champ de phase, Microgravité
Tong Zhao Gong 1 ; Ahmed Kaci Boukellal 2 ; Yun Chen 1 ; Jean-Marc Debierre 3
@article{CRMECA_2023__351_S2_233_0, author = {Tong Zhao Gong and Ahmed Kaci Boukellal and Yun Chen and Jean-Marc Debierre}, title = {Equiaxed growth of interacting {Al{\textendash}Cu} dendrites in thin samples: a~phase-field study at copper concentrations relevant for practical applications}, journal = {Comptes Rendus. M\'ecanique}, pages = {233--247}, publisher = {Acad\'emie des sciences, Paris}, volume = {351}, number = {S2}, year = {2023}, doi = {10.5802/crmeca.145}, language = {en}, }
TY - JOUR AU - Tong Zhao Gong AU - Ahmed Kaci Boukellal AU - Yun Chen AU - Jean-Marc Debierre TI - Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications JO - Comptes Rendus. Mécanique PY - 2023 SP - 233 EP - 247 VL - 351 IS - S2 PB - Académie des sciences, Paris DO - 10.5802/crmeca.145 LA - en ID - CRMECA_2023__351_S2_233_0 ER -
%0 Journal Article %A Tong Zhao Gong %A Ahmed Kaci Boukellal %A Yun Chen %A Jean-Marc Debierre %T Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications %J Comptes Rendus. Mécanique %D 2023 %P 233-247 %V 351 %N S2 %I Académie des sciences, Paris %R 10.5802/crmeca.145 %G en %F CRMECA_2023__351_S2_233_0
Tong Zhao Gong; Ahmed Kaci Boukellal; Yun Chen; Jean-Marc Debierre. Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications. Comptes Rendus. Mécanique, Volume 351 (2023) no. S2, pp. 233-247. doi : 10.5802/crmeca.145. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.145/
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