Phase field modelling of hopper crystal growth in alloys
Abstract Here we use phase field to model and simulate “hopper” crystals, so named because of their underlying cubic structure but with a hopper-like depression on each of the six faces. Over the past three decades simulations of single phase solidification have successfully explored dendritic struc...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-08-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-38741-2 |
| _version_ | 1797452952950013952 |
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| author | P. C. Bollada P. K. Jimack A. M. Mullis |
| author_facet | P. C. Bollada P. K. Jimack A. M. Mullis |
| author_sort | P. C. Bollada |
| collection | DOAJ |
| description | Abstract Here we use phase field to model and simulate “hopper” crystals, so named because of their underlying cubic structure but with a hopper-like depression on each of the six faces. Over the past three decades simulations of single phase solidification have successfully explored dendritic structures, in two and three dimensions, formed under high undercooling from a slight perturbation in anisotropy. More recently we see the modelling of faceted structures at near equilibrium, and also, under high undercooling, the formation of dendritic-like structures in two dimensions which retain some faceting in the dendrite arms. A cubic hopper crystal appears to be a hybrid structure, somewhere between a perfect cube and a dendrite, and, to date, has not appeared in the modelling literature. In this paper we describe a model for faceted cubic growth and explore results, necessarily in three dimensions, that include perfect cube, hopper and dendritic. We also touch briefly on one other morphology—octahedral. |
| first_indexed | 2024-03-09T15:16:07Z |
| format | Article |
| id | doaj.art-eb2f24bebbee497f8d9c6536c3861a35 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-09T15:16:07Z |
| publishDate | 2023-08-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-eb2f24bebbee497f8d9c6536c3861a352023-11-26T13:07:38ZengNature PortfolioScientific Reports2045-23222023-08-0113111010.1038/s41598-023-38741-2Phase field modelling of hopper crystal growth in alloysP. C. Bollada0P. K. Jimack1A. M. Mullis2School of Computing, University of LeedsSchool of Computing, University of LeedsSchool of Chemical and Process Engineering, University of LeedsAbstract Here we use phase field to model and simulate “hopper” crystals, so named because of their underlying cubic structure but with a hopper-like depression on each of the six faces. Over the past three decades simulations of single phase solidification have successfully explored dendritic structures, in two and three dimensions, formed under high undercooling from a slight perturbation in anisotropy. More recently we see the modelling of faceted structures at near equilibrium, and also, under high undercooling, the formation of dendritic-like structures in two dimensions which retain some faceting in the dendrite arms. A cubic hopper crystal appears to be a hybrid structure, somewhere between a perfect cube and a dendrite, and, to date, has not appeared in the modelling literature. In this paper we describe a model for faceted cubic growth and explore results, necessarily in three dimensions, that include perfect cube, hopper and dendritic. We also touch briefly on one other morphology—octahedral.https://doi.org/10.1038/s41598-023-38741-2 |
| spellingShingle | P. C. Bollada P. K. Jimack A. M. Mullis Phase field modelling of hopper crystal growth in alloys Scientific Reports |
| title | Phase field modelling of hopper crystal growth in alloys |
| title_full | Phase field modelling of hopper crystal growth in alloys |
| title_fullStr | Phase field modelling of hopper crystal growth in alloys |
| title_full_unstemmed | Phase field modelling of hopper crystal growth in alloys |
| title_short | Phase field modelling of hopper crystal growth in alloys |
| title_sort | phase field modelling of hopper crystal growth in alloys |
| url | https://doi.org/10.1038/s41598-023-38741-2 |
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