Structure of Random Foam

Kraynik, Andrew M.; Reinelt, Douglas A.; Swol, Frank van

doi:10.1103/physrevlett.93.208301

Cited by 175 publications

(112 citation statements)

References 22 publications

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“…A method for simulating the equilibrium microstructure of random soap froth with controlled cell-size distributions [31][32][33] employs molecular dynamics to generate dense packings of rigid spheres, which are used to produce Laguerre (weighted-Voronoi) tessellations. The tessellations are initial conditions for the Surface Evolver [34], which minimizes surface area given cell volume constraints.…”

mentioning

confidence: 99%

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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mentioning

confidence: 99%

Networklike Propagation of Cell-Level Stress in Sheared Random Foams

Evans¹,

Kraynik²,

Reinelt³

et al. 2013

Phys. Rev. Lett.

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“…To study the complicate adhesion system, we use the software Surface Evolver [34] which has been generally applied to simulate the equilibrium shapes of single vesicle [35,36], cell adhesion system [17], random foam [37] and droplet adhesion structure [38]. First, it needs to build an initial geometric model for the structure.…”

Section: Simulation Methods and The Softwarementioning

confidence: 99%

Structure–property relationships of cell clusters in biotissues: 2D analysis

Zhou

Zhang

Xia

et al. 2017

Phys. Chem. Chem. Phys.

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To insight the relationships between the self-organizing structures of cells, such as the cell clusters, and the properties of biotissues is helpful in revealing the function and designing biomaterial. Traditional random foam model neglects several important details of the frameworks of cell clusters, in this study we use a more complete model, cell adhesion model, to investigate the mechanical and morphological properties of the two-dimensional (2D) dry foams composed by cells. Supposing these structures are formed due to adhesion between cells, the equilibrium formations result from the minimum of the free energy. The equilibrium shape equations for high symmetrical structures without the volume constraint are derived, and the analytical results of the corresponding mechanical parameters, such as the Young's modulus, bulk modulus and failure strength, are obtained. Numerical simulation method is applied to study the complex shapes with the volume constraint and several stable multicellular structures are obtained. Symmetry-breaking due to the volume change is founded and typical periodic shapes and the corresponding phase transformations are explored. Our study provides a potential method to connect the microstructure with the macro-mechanical parameters of biotissues. The results also are helpful to understand the physical mechanism of how the structures of biotissues are formed.

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“…f and n depend on the foam polydispersity [55]. Moreover, a T1 event in a 3D foam is the transformation of a triangular face into a Plateau border.…”

Section: Discussionmentioning

confidence: 99%

Statistical mechanics of two-dimensional foams: Physical foundations of the model

Durand

2015

Eur. Phys. J. E

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Abstract. In a recent series of papers [1,2,3], a statistical model that accounts for correlations between topological and geometrical properties of a two-dimensional shuffled foam has been proposed and compared with experimental and numerical data. Here, the various assumptions on which the model is based are exposed and justified: the equiprobability hypothesis of the foam configurations is argued. The range of correlations between bubbles is discussed, and the mean field approximation that is used in the model is detailed. The two self-consistency equations associated with this mean field description can be interpreted as the conservation laws of number of sides and bubble curvature, respectively. Finally, the use of a "GrandCanonical" description, in which the foam constitutes a reservoir of sides and curvature, is justified.

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Structure of Random Foam

Cited by 175 publications

References 22 publications

Networklike Propagation of Cell-Level Stress in Sheared Random Foams

Networklike Propagation of Cell-Level Stress in Sheared Random Foams

Structure–property relationships of cell clusters in biotissues: 2D analysis

Statistical mechanics of two-dimensional foams: Physical foundations of the model

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