Morphological stability of rod-shaped continuous phases
Morphological transition of a rod-shaped phase into a string of spherical particles is commonly observed in the microstructures of alloys during solidification (Ratke and Mueller, 2006). This transition phenomenon can be explained by the classic Plateau-Rayleigh theory which was derived for fluid je...
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| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
19 April 2020
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| In: |
Acta materialia
Year: 2020, Jahrgang: 192, Pages: 20-29 |
| ISSN: | 1873-2453 |
| DOI: | 10.1016/j.actamat.2020.04.028 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.actamat.2020.04.028 Verlag, lizenzpflichtig, Volltext: http://www.sciencedirect.com/science/article/pii/S1359645420302858 
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| Verfasserangaben: | Fei Wang, Oleg Tschukin, Thomas Leisner, Haodong Zhang, Britta Nestler, Michael Selzer, Gabriel Cadilha Marques, Jasmin Aghassi-Hagmann |
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| 520 | |a Morphological transition of a rod-shaped phase into a string of spherical particles is commonly observed in the microstructures of alloys during solidification (Ratke and Mueller, 2006). This transition phenomenon can be explained by the classic Plateau-Rayleigh theory which was derived for fluid jets based on the surface area minimization principle. The quintessential work of Plateau-Rayleigh considers tiny perturbations (amplitude much less than the radius) to the continuous phase and for large amplitude perturbations, the breakup condition for the rod-shaped phase is still a knotty issue. Here, we present a concise thermodynamic model based on the surface area minimization principle as well as a non-linear stability analysis to generalize Plateau-Rayleigh’s criterion for finite amplitude perturbations. Our results demonstrate a breakup transition from a continuous phase via dispersed particles towards a uniform-radius cylinder, which has not been found previously, but is observed in our phase-field simulations. This new observation is attributed to a geometric constraint, which was overlooked in former studies. We anticipate that our results can provide further insights on microstructures with spherical particles and cylinder-shaped phases. | ||
| 650 | 4 | |a Gradient descent method | |
| 650 | 4 | |a Phase-field | |
| 650 | 4 | |a Plateau-Rayleigh instability | |
| 650 | 4 | |a Surface area minimization | |
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