Journal article
Deformation of Platonic foam cells: Effect on growth rate
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol.85(6)
2012
Abstract
The diffusive growth rate of a polyhedral cell in dry three-dimensional foams depends on details of shape beyond cell topology, in contrast to the situation in two dimensions, where, by von Neumann's law, the growth rate depends only on the number of cell edges. We analyze the dependence of the instantaneous growth rate on the shape of single foam cells surrounded by uniform pressure; this is accomplished by supporting the cell with films connected to a wire frame and inducing cell distortions by deforming the wire frame. We consider three foam cells with a very simple topology; these are the Platonic foam cells, which satisfy Plateau's laws and are based on the trivalent Platonic solids (tetrahedron, cube, and dodecahedron). The Surface Evolver is used to model cell deformations induced through extension, compression, shear, and torsion of the wire frames. The growth rate depends on the deformation mode and frame size and can increase or decrease with increasing cell distortion. The cells have negative growth rates, in general, but dodecahedral cells subjected to torsion in small wire frames can have positive growth rates. The deformation of cubic cells is demonstrated experimentally.
Details
- Title
- Deformation of Platonic foam cells: Effect on growth rate
- Authors/Creators
- M.E. Evans (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergJ. Zirkelbach (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergG.E. Schröder-Turk (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergA.M. Kraynik (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergK. Mecke (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
- Publication Details
- Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol.85(6)
- Publisher
- American Physical Society
- Identifiers
- 991005545276707891
- Copyright
- © 2012 American Physical Society
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- International collaboration
- Citation topics
- 7 Engineering & Materials Science
- 7.12 Metallurgical Engineering
- 7.12.88 Severe Plastic Deformation
- Web Of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical
- ESI research areas
- Physics