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<p>Fluid foams are two-phase fluids with a great variety of textures which may change during their deformation processes. Their continuum mechanical modelling is made problematic by the difficulty of individuating what to regard as a material point. In Part 1, the simplest shearing motion of a monodisperse, close-packed, two-dimensional fluid foam is here revisited. In Part 2, the notion of a foamy continuum, that is, an ordinary continuum body imitating the foam’s behaviour, is introduced. The final section contains a brief discussion of the thermodynamics of a shear deformation process involving a topological change of texture.</p>

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On the mathematical modelling of 2D fluid foams

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月3日

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  • Cesare Davini,
  • Paolo Podio-Guidugli

摘要

Fluid foams are two-phase fluids with a great variety of textures which may change during their deformation processes. Their continuum mechanical modelling is made problematic by the difficulty of individuating what to regard as a material point. In Part 1, the simplest shearing motion of a monodisperse, close-packed, two-dimensional fluid foam is here revisited. In Part 2, the notion of a foamy continuum, that is, an ordinary continuum body imitating the foam’s behaviour, is introduced. The final section contains a brief discussion of the thermodynamics of a shear deformation process involving a topological change of texture.