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Morphological stability of rod-shaped continuous phase

  • 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-RayleighMorphological 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.show moreshow less

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Metadaten
Author:Fei Wang, Oleg Tschukin, Thomas Leisner, Haodong Zhang, Britta Nestler, Jasmin Aghassi-HagmannORCiDGND, Michael Selzer, Gabriel Cadilha Marques
Publisher:Elsevier Science
Year of Publication:2020
Language:English
Parent Title (English):Acta Materialia
Volume:192
ISSN:1359-6454 (Print)
ISSN:1359-6454 (Online)
First Page:20
Last Page:29
Document Type:Article (reviewed)
Institutes:Bibliografie
Open Access:Zugriffsbeschränkt
Release Date:2020/12/14
Licence (German):License LogoEs gilt das UrhG
DOI:https://doi.org/10.1016/j.actamat.2020.04.028