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arXiv 2407.15436cond-mat.soft
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干湿颗粒流中的非单调本构曲线与剪切带状化

Non-monotonic constitutive curves and shear banding in dry and wet granular flows

Christopher Ness, Suzanne M. Fielding

AI总结:

本研究通过粒子模拟揭示干湿颗粒流在固定压力和体积下的非单调本构曲线,并关联剪切带状化现象,预测了无临界载荷摩擦下的不连续剪切增稠。

摘要:

我们利用粒子模拟,在固定压力和固定体积两种协议下,全面绘制了由有限刚度颗粒组成的干湿颗粒物质的剪切流变特性。在固定压力下,我们发现非单调本构曲线表现为剪切变稀;而在固定体积下,我们发现非单调本构曲线表现为剪切增稠。我们表明,一种非单调性的存在并不意味着另一种也存在。相反,在固定压力下测量的体积分数中存在一个特征标志,当该标志存在时,能确保固定体积下的非单调本构曲线。在干颗粒流的背景下,我们展示了梯度带和涡度带分别出现在固定压力和固定体积条件下,这与本构曲线所暗示的一致。对于湿系统,我们的结果与近期实验中观察到的固定压力下剪切变稀现象相符。此外,我们预测在无临界载荷摩擦的情况下会出现不连续剪切增稠。

英文摘要:

We use particle simulations to map comprehensively the shear rheology of dry and wet granular matter comprising particles of finite stiffness, in both fixed pressure and fixed volume protocols. At fixed pressure we find non-monotonic constitutive curves that are shear thinning, whereas at fixed volume we find non-monotonic constitutive curves that are shear thickening. We show that the presence of one non-monotonicity does not imply the other. Instead, there exists a signature in the volume fraction measured under fixed pressure that, when present, ensures non-monotonic constitutive curves at fixed volume. In the context of dry granular flow we show that gradient and vorticity bands arise under fixed pressure and volume respectively, as implied by the constitutive curves. For wet systems our results are consistent with a recent experimental observation of shear thinning at fixed pressure. We furthermore predict discontinuous shear thickening in the absence of critical load friction.

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