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arXiv 1305.0686cond-mat.soft
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随机泡沫中胞元级应力的网络状传播

Network-like propagation of cell-level stress in random foams

Myfanwy E. Evans, Andrew M. Kraynik, Douglas A. Reinelt, Klaus Mecke, Gerd E. Schröder-Turk

摘要:

通过对空间周期泡沫的Surface Evolver模拟,研究了随机单分散肥皂泡沫的准静态简单剪切流动。弹塑性行为是由不可逆的拓扑重排(T1),发生在违反高原的法律;第一个T1发生在弹性限度和大应变频繁级联的T1,由一个或多个单独的T1,维持屈服应力平台。单个单元的应力和形状各向异性通过$Q$来量化,$Q$是从界面张量导出的标量测量,其测量每个单元对全局应力的贡献。在每个T1级联期间,具有递减$Q$的单元的连接集合(称为\textit{stress release domain})是网络状的并且高度非局部的。几何上,网络状的性质的应力释放域通过形态分析,使用欧拉特性得到证实。应力释放域与T1级联期间改变拓扑结构的细胞集明显不同。我们的研究结果突出了独特的流变行为的泡沫,其中复杂的大规模合作重组的泡沫细胞观察到明显的本地事件的后果。

英文摘要:

Quasistatic simple shearing flow of random monodisperse soap froth is investigated by analyzing Surface Evolver simulations of spatially periodic foams. Elastic-plastic behavior is caused by irreversible topological rearrangements (T1s) that occur when Plateau's laws are violated; the first T1s occur at the elastic limit and at large strains frequent cascades of T1s, composed of one or more individual T1s, sustain the yield-stress plateau. The stress and shape anisotropy of individual cells is quantified by $Q$, a scalar measure derived from the interface tensor that gauges each cell's contribution to the global stress. During each T1 cascade, the connected set of cells with decreasing $Q$, called the \textit{stress release domain}, is network-like and highly non-local. Geometrically, the network-like nature of the stress release domains is corroborated through morphological analysis using the Euler characteristic. The stress release domain is distinctly different from the set of cells that change topology during a T1 cascade. Our results highlight the unique rheological behavior of foams, where complex large-scale cooperative rearrangements of foam cells are observed as a consequence of distinctly local events.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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