Rheology of foams and highly concentrated emulsions

Princen, H.M

doi:10.1016/0021-9797(83)90323-5

Cited by 486 publications

(257 citation statements)

References 10 publications

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“…In the wet limit, the shear modulus goes to zero (smoothly in the case of disordered foams with polydisperse bubble sizes), as was first confirmed from experiments by Princen and Kiss [4] and tentatively identified in the early two-dimensional (2D) PLAT simulation of Bolton and Weaire [5,6,7,8] as well as in the 2D Bubble Model of Durian [9]. Also, the yield stress goes to zero.…”

Section: Introductionsupporting

confidence: 53%

Statistics and topological changes in 2D foam from the dry to the wet limit

Dunne

Bolton²,

Weaire

et al. 2017

Philosophical Magazine

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Section: Introductionsupporting

confidence: 53%

Statistics and topological changes in 2D foam from the dry to the wet limit

Dunne

Bolton²,

Weaire

et al. 2017

Philosophical Magazine

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“…The ratio of −N 2 to N 1 in the initial elastic regime is slightly less than 1, comparable to the 6 7 predicted in [36]. This ratio is peculiar to foams: the ratio is generally between 0.1 and 0.3 for polymer melts and solutions [37,38].…”

mentioning

confidence: 71%

Networklike Propagation of Cell-Level Stress in Sheared Random Foams

Evans¹,

Kraynik²,

Reinelt³

et al. 2013

Phys. Rev. Lett.

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Quasistatic simple shearing flow of random monodisperse soap froth is investigated by analyzing Surface Evolver simulations of spatially periodic foams. Elastic-plastic behavior is caused by irreversible topological rearrangements (T1s) that occur when Plateau's laws are violated; the first T1s occur at the elastic limit and at large strains frequent cascades of T1s, composed of one or more individual T1s, sustain the yield-stress plateau. The stress and shape anisotropy of individual cells is quantified by Q, a scalar measure derived from the interface tensor that gauges each cell's contribution to the global stress. During each T1 cascade, the connected set of cells with decreasing Q, called the stress release domain, is network-like and highly non-local. Geometrically, the network-like nature of the stress release domains is corroborated through morphological analysis using the Euler characteristic. The stress release domain is distinctly different from the set of cells that change topology during a T1 cascade. Our results highlight the unique rheological behavior of foams, where complex large-scale cooperative rearrangements of foam cells are observed as a consequence of distinctly local events.

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“…All the simulations presented here have been performed with a small but not negligible polydispersity in the initial configuration. For an ordered hexagonal packing of monodisperse droplets, the yield stress and strain follow from Princen theory [40,41]. Even a small polidispersity changes the yield strain and opens the way to a much richer and complex dynamics.…”

Section: Discussionmentioning

confidence: 99%

Direct evidence of plastic events and dynamic heterogeneities in soft-glasses

et al. 2014

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By using fluid-kinetic simulations of confined and concentrated emulsion droplets, we investigate the nature of space non-homogeneity in soft-glassy dynamics and provide quantitative measurements of the statistical features of plastic events in the proximity of the yield-stress threshold. Above the yield stress, our results show the existence of a finite stress correlation scale, which can be mapped directly onto the cooperativity scale, recently introduced in the literature to capture non-local effects in the soft-glassy dynamics.In this regime, the emergence of a separate boundary (wall) rheology with higher fluidity than the bulk, is highlighted in terms of near-wall spontaneous segregation of plastic events. Near the yield stress, where the cooperative scale cannot be estimated with sufficient accuracy, the system shows a clear increase of the stress correlation scale, whereas plastic events exhibit intermittent clustering in time, with no preferential spatial location. A quantitative measurement of the space-time correlation associated with the motion of the interface of the droplets is key to spot the long-range amorphous order at the yield stress threshold.

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Rheology of foams and highly concentrated emulsions

Cited by 486 publications

References 10 publications

Statistics and topological changes in 2D foam from the dry to the wet limit

Statistics and topological changes in 2D foam from the dry to the wet limit

Networklike Propagation of Cell-Level Stress in Sheared Random Foams

Direct evidence of plastic events and dynamic heterogeneities in soft-glasses

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