Pressures in periodic foams

D. Weaire; N. Kern; S. J. Cox; J. M. Sullivan; F. Morgan

doi:10.1098/rspa.2003.1171

Pressures in periodic foams

D. Weaire^*, N. Kern, S. J. Cox, J. M. Sullivan, F. Morgan

^*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

3 Dyfyniadau (Scopus)

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A hitherto open problem in the geometry of foams asks: are the pressures in the bubbles of a (structurally) periodic foam in equilibrium necessarily periodic? We supply a proof that this is so. However, external forces can induce a pressure gradient even in periodic structures. We also establish that any equilibrium planar foam whose bubbles are congruent must have uniform pressure and be a fully periodic arrangement of hexagons.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	569-579
Nifer y tudalennau	11
Cyfnodolyn	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Cyfrol	460
Rhif cyhoeddi	2042
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1098/rspa.2003.1171
Statws	Cyhoeddwyd - 08 Chwef 2004
Cyhoeddwyd yn allanol	Ie

Mynediad at Ddogfen

10.1098/rspa.2003.1171

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title = "Pressures in periodic foams",

abstract = "A hitherto open problem in the geometry of foams asks: are the pressures in the bubbles of a (structurally) periodic foam in equilibrium necessarily periodic? We supply a proof that this is so. However, external forces can induce a pressure gradient even in periodic structures. We also establish that any equilibrium planar foam whose bubbles are congruent must have uniform pressure and be a fully periodic arrangement of hexagons.",

keywords = "Bubbles, Equilibrium structures, Foams, Kelvin foam, Pressures, Tilings",

author = "D. Weaire and N. Kern and Cox, {S. J.} and Sullivan, {J. M.} and F. Morgan",

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T1 - Pressures in periodic foams

AU - Weaire, D.

AU - Kern, N.

AU - Cox, S. J.

AU - Sullivan, J. M.

AU - Morgan, F.

PY - 2004/2/8

Y1 - 2004/2/8

N2 - A hitherto open problem in the geometry of foams asks: are the pressures in the bubbles of a (structurally) periodic foam in equilibrium necessarily periodic? We supply a proof that this is so. However, external forces can induce a pressure gradient even in periodic structures. We also establish that any equilibrium planar foam whose bubbles are congruent must have uniform pressure and be a fully periodic arrangement of hexagons.

AB - A hitherto open problem in the geometry of foams asks: are the pressures in the bubbles of a (structurally) periodic foam in equilibrium necessarily periodic? We supply a proof that this is so. However, external forces can induce a pressure gradient even in periodic structures. We also establish that any equilibrium planar foam whose bubbles are congruent must have uniform pressure and be a fully periodic arrangement of hexagons.

KW - Bubbles

KW - Equilibrium structures

KW - Foams

KW - Kelvin foam

KW - Pressures

KW - Tilings

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U2 - 10.1098/rspa.2003.1171

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JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 2042

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Pressures in periodic foams

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