Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications
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 rec...
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Académie des sciences
2023-01-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.145/ |
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| author | Gong, Tong Zhao Boukellal, Ahmed Kaci Chen, Yun Debierre, Jean-Marc |
| author_facet | Gong, Tong Zhao Boukellal, Ahmed Kaci Chen, Yun Debierre, Jean-Marc |
| author_sort | Gong, Tong Zhao |
| collection | DOAJ |
| description | 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 ($c \ge 3$ wt% Cu). We compare the present results with those of a previous study which was restricted to lower copper concentrations ($c \le 2$ 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 $\Lambda $ 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 $\Lambda $. Physical arguments are developed to specify the meaning of $\Lambda $ and the grounds of the scaling law $\Lambda =\mathrm{cst}$. Comparisons with available experimental results of the literature give additional support to this scaling law. |
| format | Article |
| id | doaj-art-4a830fbff11e446f9314db80f1cbc837 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-4a830fbff11e446f9314db80f1cbc8372025-02-07T13:47:30ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-01-01351S223324710.5802/crmeca.14510.5802/crmeca.145Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applicationsGong, Tong Zhao0https://orcid.org/0000-0001-5371-9850Boukellal, Ahmed Kaci1https://orcid.org/0000-0002-8817-1829Chen, Yun2https://orcid.org/0000-0003-0669-5002Debierre, Jean-Marc3https://orcid.org/0000-0003-3999-0374Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang, Liaoning, 110016, P. R. ChinaIMDEA Materials Institute, Getafe, Madrid, SpainShenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang, Liaoning, 110016, P. R. ChinaAix-Marseille Université, CNRS, Université de Toulon, IM2NP UMR 7334, 13397 Marseille, FranceWe 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 ($c \ge 3$ wt% Cu). We compare the present results with those of a previous study which was restricted to lower copper concentrations ($c \le 2$ 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 $\Lambda $ 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 $\Lambda $. Physical arguments are developed to specify the meaning of $\Lambda $ and the grounds of the scaling law $\Lambda =\mathrm{cst}$. Comparisons with available experimental results of the literature give additional support to this scaling law.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.145/Metals and alloysSolidificationSolute diffusionGrain structurePhase-fieldMicrogravity |
| spellingShingle | Gong, Tong Zhao Boukellal, Ahmed Kaci Chen, Yun Debierre, Jean-Marc Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications Comptes Rendus. Mécanique Metals and alloys Solidification Solute diffusion Grain structure Phase-field Microgravity |
| title | Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications |
| title_full | Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications |
| title_fullStr | Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications |
| title_full_unstemmed | Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications |
| title_short | Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications |
| title_sort | equiaxed growth of interacting al cu dendrites in thin samples a phase field study at copper concentrations relevant for practical applications |
| topic | Metals and alloys Solidification Solute diffusion Grain structure Phase-field Microgravity |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.145/ |
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