Efficacy of simple continuum models for diverse granular intrusions,Soft Matter

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Efficacy of simple continuum models for diverse granular intrusions
Soft Matter ( IF 2.9 ) Pub Date : 2021-06-29 , DOI: 10.1039/d1sm00130b
Shashank Agarwal ₁ , Andras Karsai ₂ , Daniel I Goldman ₂ , Ken Kamrin ₁

Affiliation

Granular intrusion is commonly observed in natural and human-made settings. Unlike typical solids and fluids, granular media can simultaneously display fluid-like and solid-like characteristics in a variety of intrusion scenarios. This multi-phase behavior increases the difficulty of accurately modeling these and other yielding (or flowable) materials. Micro-scale modeling methods, such as DEM (Discrete Element Method), capture this behavior by modeling the media at the grain scale, but there is often interest in the macro-scale characterizations of such systems. We examine the efficacy of a macro-scale continuum approach in modeling and understanding the physics of various macroscopic phenomena in a variety of granular intrusion cases using two basic frictional yielding constitutive models. We compare predicted granular force response and material flow to experimental data in four quasi-2D intrusion cases: (1) depth-dependent force response in horizontal submerged-intruder motion; (2) separation-dependent drag variation in parallel-plate vertical-intrusion; (3) initial-density-dependent drag fluctuations in free surface plowing, and (4) flow zone development during vertical plate intrusions in under-compacted granular media. Our continuum modeling approach captures the flow process and drag forces while providing key meso- and macro-scopic insights. The modeling results are then compared to experimental data. Our study highlights how continuum modeling approaches provide an alternative for efficient modeling as well as a conceptual understanding of various granular intrusion phenomena.

中文翻译：

简单连续体模型对不同颗粒入侵的有效性

在自然和人造环境中通常会观察到颗粒状入侵。与典型的固体和流体不同，粒状介质可以在各种入侵场景中同时显示类流体和类固体的特性。这种多相行为增加了对这些和其他屈服（或可流动）材料进行精确建模的难度。微尺度建模方法，如 DEM（离散元方法），通过在颗粒尺度对介质进行建模来捕捉这种行为，但通常对此类系统的宏观尺度表征感兴趣。我们使用两种基本的摩擦屈服本构模型来检查宏观尺度连续介质方法在建模和理解各种颗粒入侵情况下各种宏观现象的物理学方面的功效。我们将预测的颗粒力响应和材料流与四种准二维入侵情况下的实验数据进行了比较：（1）水平淹没入侵者运动中的深度相关力响应；(2) 平行板垂直侵入时的分离相关阻力变化；(3) 自由表面耕作中初始密度依赖的阻力波动，以及 (4) 未压实颗粒介质中垂直板侵入过程中的流动区发展。我们的连续体建模方法捕捉流动过程和阻力，同时提供关键的细观和宏观洞察力。然后将建模结果与实验数据进行比较。我们的研究强调了连续体建模方法如何为有效建模以及对各种粒度入侵现象的概念理解提供替代方案。

更新日期：2021-07-16

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