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dc.contributor.author Vaz, M. Fátima
dc.contributor.author Cox, S. J.
dc.contributor.author Teixeira, P. I. C.
dc.date.accessioned 2012-02-13T15:16:07Z
dc.date.available 2012-02-13T15:16:07Z
dc.date.issued 2011-11-01
dc.identifier.citation Vaz , M F , Cox , S J & Teixeira , P I C 2011 , ' Cyclic deformation of bidisperse two-dimensional foams ' Philosophical Magazine , vol 91 , no. 34 , pp. 4345-4356 . , 10.1080/14786435.2011.620995 en
dc.identifier.issn 1478-6443
dc.identifier.other PURE: 175199
dc.identifier.other dspace: 2160/7782
dc.identifier.uri http://hdl.handle.net/2160/7782
dc.description M. Fátima Vaz, S.J. Cox & P.I.C. Teixeira (2011): Cyclic deformation of bidisperse two-dimensional foams, Philosophical Magazine, 91:34, 4345-4356 en
dc.description.abstract In-plane deformation of foams was studied experimentally by subjecting bidisperse foams to cycles of traction and compression at a prescribed rate. Each foam contained bubbles of two sizes with given area ratio and one of three initial arrangements: sorted perpendicular to the axis of deformation (iso-strain), sorted parallel to the axis of deformation (iso-stress), or randomly mixed. Image analysis was used to measure the characteristics of the foams, including the number of edges separating small from large bubbles Nsl, the perimeter (surface energy), the distribution of the number of sides of the bubbles, and the topological disorder \mu_2(N). Foams that were initially mixed were found to remain mixed after the deformation. The response of sorted foams, however, depended on the initial geometry, including the area fraction of small bubbles and the total number of bubbles. For a given experiment we found that (i) the perimeter of a sorted foam varied little; (ii) each foam tended towards a mixed state, measured through the saturation of Nsl; and (iii) the topological disorder \mu_2(N) increased up to an ‘‘equilibrium’’ value. The results of different experiments showed that (i) the change in disorder, Delta \mu_2 (N); decreased with the area fraction of small bubbles under iso-strain, but was independent of it under iso-stress; and (ii) Delta \mu_2(N) increased with Delta Nsl under iso-strain, but was again independent of it under iso-stress. We offer explanations for these effects in terms of elementary topological processes induced by the deformations that occur at the bubble scale. en
dc.format.extent 12 en
dc.language.iso eng
dc.relation.ispartof Philosophical Magazine en
dc.title Cyclic deformation of bidisperse two-dimensional foams en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1080/14786435.2011.620995
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Mathematical Modelling of Structures, Solids and Fluids en
dc.description.status Peer reviewed en


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