Symmetry break in the eight bubble compaction

نویسندگان

چکیده

Geometry and mechanics have both a relevant role in determining the three-dimensional packing of $ 8 bubbles displayed similar foam structure. We assume that spatial arrangement obeys geometrical principle maximizing minimum mutual distance between bubble centroids. The compacted structure is then obtained by radially under constraint volume conservation. generate polygonal tiling on central sphere peripheral with flat curved interfaces. verify polyhedra optimal suitable physical criteria. Finally, we enforce mechanical balance imposing conservation volume.We find an anisotropy distribution field forces: surface tensions bubble-bubble interfaces normal oriented circumferential direction aggregate are larger than ones unit vector pointing out aggregate. suggest this cue key for symmetry break configuration.

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ژورنال

عنوان ژورنال: Mathematics in engineering

سال: 2021

ISSN: ['2640-3501']

DOI: https://doi.org/10.3934/mine.2022010