Institut Universitaire des Systèmes Thermiques et Industriels, Centre National de la Recherche Scientifique UMR6595, Aix-Marseille Université, Marseille, France.
Philos Trans A Math Phys Eng Sci. 2009 Dec 28;367(1909):5091-107. doi: 10.1098/rsta.2009.0171.
A non-local theory is proposed to model dense granular flows. The idea is to describe the rearrangements occurring when a granular material is sheared as a self-activated process. A rearrangement at one position is triggered by the stress fluctuations induced by rearrangements elsewhere in the material. Within this framework, the constitutive law, which gives the relation between the shear rate and the stress distribution, is written as an integral over the entire flow. Taking into account the finite time of local rearrangements, the model is applicable from the quasi-static regime up to the inertial regime. We have checked the prediction of the model in two different configurations, namely granular flows down inclined planes and plane shear under gravity, and we show that many of the experimental observations are predicted within the self-activated model.
提出了一种非局部理论来模拟密集颗粒流。该理论的思想是将剪切时颗粒材料的重新排列描述为自激活过程。一个位置的重新排列是由材料中其他位置的重新排列引起的应力波动触发的。在这个框架内，本构定律，即给出剪切率和应力分布之间关系的定律，被写成整个流动的积分。考虑到局部重新排列的有限时间，该模型适用于从准静态到惯性的范围。我们在两种不同的配置中检查了模型的预测，即倾斜平面上的颗粒流和重力下的平面剪切，我们表明，许多实验观察结果都可以在自激活模型中得到预测。
