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An elastic, plastic, viscous model for slow shear of a liquid foam

机译:弹性,塑性,粘性模型,用于缓慢剪切液体泡沫

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摘要

We suggest a scalar model for deformation and flow of an amorphous material such as a foam or an emulsion. To describe elastic, plastic and viscous behaviours, we use three scalar variables: elastic deformation, plastic deformation rate and total deformation rate; and three material specific parameters: shear modulus, yield deformation and viscosity. We obtain equations valid for different types of deformations and flows slower than the relaxation rate towards mechanical equilibrium. In particular, they are valid both in transient or steady flow regimes, even at large elastic deformation. We discuss why viscosity can be relevant even in this slow shear (often called ``quasi-static") limit. Predictions of the storage and loss moduli agree with the experimental literature, and explain with simple arguments the non-linear large amplitude trends.
机译:我们建议使用标量模型来模拟无定形材料(例如泡沫或乳液)的变形和流动。为了描述弹性,塑性和粘性行为,我们使用三个标量变量:弹性变形,塑性变形率和总变形率;和三个材料特定参数:剪切模量,屈服变形和粘度。我们获得了对不同类型的变形有效的方程,其流动速率比朝机械平衡的松弛速率慢。尤其是,它们在瞬态或稳定流态下均有效,即使在较大的弹性变形下也是如此。我们讨论了即使在这种缓慢剪切(通常称为``准静态'')极限下粘度为何仍可保持相关性的原因,储能和损耗模量的预测与实验文献一致,并用简单的论点解释了非线性大振幅趋势。

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