Percolating contacts network and force chains during interface shear in granular media
Percolating contacts network and force chains during interface shear in granular media
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DOI：
10.1007/s10035-023-01314-1
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发表时间：
2023-03
期刊：
影响因子：
2.4
通讯作者：
F. Patino-Ramirez;C. O’Sullivan;D. Dini
中科院分区：
文献类型：
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作者：
F. Patino-Ramirez;C. O’Sullivan;D. Dini
力链通过颗粒材料传递应力的概念已经建立；然而，单个力链的识别和相关的定量分析是非平凡的。本文提出了两种算法：(1)找到控制加载颗粒介质响应的渗透接触网络，(2)将该网络分解为组成该网络的单个力链。采用离散元法模拟了在颗粒状试样上移动的肋状界面。材料中传递载荷的接触子集，即渗透接触网络（），是使用最大流量算法找到的。由此产生的网络是完全连通的，其最大流量值对应于向肋壁垂直方向渗透系统的力。在响应肋状界面运动时重新定向，并传递85%的应力，而样品中只有40%的接触。然后，使用最宽路径问题的新实现将力链拆分为单个力链。结果表明：材料密度越大，力链中心度越大，力链密度越大，界面剪切强度越大；力链在网络中的贡献是高度集中的，由一小部分强而长寿命的力链和大量弱而短寿命的力链组成。
The concept of force chains transmitting stress through granular materials is well established; however identification of individual force chains and the associated quantitative analysis is non-trivial. This paper proposes two algorithms to (1) find the network of percolating contacts that control the response of loaded granular media, and (2) decompose this network into the individual force chains that comprise it. The new framework is demonstrated considering data from discrete element method simulations of a ribbed interface moving against a granular sample. The subset of contacts in the material that transfers load across the sample, namely the percolating contact network (), is found using the maximum flow algorithm. The resulting network is fully-connected and its maximum flow value corresponds to the force percolating the system in the direction normal to the ribbed wall.re-orientates in response to the ribbed interface movement and transmits 85–of the stress, with only 40–of the contacts in the sample. Then,is split into individual force chains using a novel implementation of the widest path problem. Results show that denser materials with increased force-chain centrality promote a higher density of force chains, which results in a higher macro-scale strength during interface shearing. The contribution of force chains in the network is revealed to be highly centralized, composed by a small set of strong and long-lived force chains, plus a large set of weak and short-lived force chains.