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The stochastic flow rule: A multi-scale model for granular plasticity

机译:随机流动规则:粒度可塑性的多尺度模型

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摘要

In spite of many attempts to model dense granular flow, there is still nogeneral theory capable of describing different types of flows, such asgravity-driven drainage in silos and wall-driven shear flows in Couette cells.Here, we summarize our recent proposal of the Stochastic Flow Rule (SFR), whichis able to describe these cases in good agreement with experiments, and wefocus on testing the theory in more detail against brute-force simulations withthe discrete-element method (DEM). The SFR is a general rate-independentconstitutive law for plastic flow, based on diffusing spots of fluidization. Inthe case of quasi-2D granular materials, we assume limit-state stresses fromMohr-Coulomb plasticity and postulate that spots undergo biased random walksalong slip-lines, driven by local stress imbalances. We compare analyticalpredictions of the SFR against DEM simulations for silos and Couette cells,carrying out several parametric studies in the latter case, and find goodagreement.
机译:尽管进行了许多模拟致密颗粒流动的尝试,但仍存在一般性理论能够描述不同类型的流动,例如筒仓中的重力驱动排水和Couette单元中的壁驱动剪切流。随机流规则(SFR)能够与实验很好地描述这些情况,并且我们专注于针对离散元方法(DEM)的蛮力模拟更详细地测试该理论。 SFR是基于流化扩散点的塑性流动的一般速率独立本构律。对于准2D颗粒材料,我们假设来自Mohr-Coulomb可塑性的极限状态应力,并假定斑点受局部应力不平衡的驱动而产生偏向的随机Walksalong滑移线。我们将筒仓和库埃特单元的DEA模拟与SFR的分析预测进行了比较,在后一种情况下进行了一些参数研究,并找到了良好的共识。

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