Jammed solids with pins: Thresholds, force networks, and elasticity
Jammed solids with pins: Thresholds, force networks, and elasticity
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用销钉卡住的固体：阈值、力网络和弹性
DOI：
10.1103/physreve.106.034902
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发表时间：
2022
影响因子：
2.4
通讯作者：
Graves, Amy L.
中科院分区：
文献类型：
--
作者：
Zhang, Andy L.;Ridout, Sean A.;Parts, Celia;Sachdeva, Aarushi;Bester, Cacey S.;Vollmayr-Lee, Katharina;Utter, Brian C.;Brzinski, Ted;Graves, Amy L.
固定自由度在软物质或颗粒物质系统中的作用具有广泛的适用性和理论意义。在这里，我们解决问题的几何形状的作用，固定粒子的脚手架在调整的阈值体积分数和力网络在附近的干扰。我们的二维模拟系统由软粒子和固定的“针”，这两者都谐波排斥重叠。一方面，我们发现，许多关键的缩放与堵塞在没有引脚继续举行的存在下，甚至密集的引脚胶乳。另一方面，销的存在在低销密度下以通用方式降低堵塞阈值，并且在高销密度下以几何形状依赖的方式降低堵塞阈值，从而产生具有较低密度和颗粒之间较少接触的填料。强晶格依赖性的发病符合键取向顺序的发展。此外，钉的存在极大地改变了力的网络，异常弱和异常强的力都变得更加丰富。这个力网络的空间组织取决于销的几何形状，并详细描述。使用持久同源性，我们证明了引脚修改网络的拓扑结构。最后，我们观察到明确的签名，这发展中国家的债券取向顺序和广泛的力分布的弹性模量的特点，这些填料的应变的线性响应。
The role of fixed degrees of freedom in soft or granular matter systems has broad applicability and theoretical interest. Here we address questions of the geometrical role that a scaffolding of fixed particles plays in tuning the threshold volume fraction and force network in the vicinity of jamming. Our two-dimensional simulated system consists of soft particles and fixed “pins,” both of which harmonically repel overlaps. On the one hand, we find that many of the critical scalings associated with jamming in the absence of pins continue to hold in the presence of even dense pin latices. On the other hand, the presence of pins lowers the jamming threshold in a universal way at low pin densities and a geometry-dependent manner at high pin densities, producing packings with lower densities and fewer contacts between particles. The onset of strong lattice dependence coincides with the development of bond-orientational order. Furthermore, the presence of pins dramatically modifies the network of forces, with both unusually weak and unusually strong forces becoming more abundant. The spatial organization of this force network depends on pin geometry and is described in detail. Using persistent homology, we demonstrate that pins modify the topology of the network. Finally, we observe clear signatures of this developing bond-orientational order and broad force distribution in the elastic moduli which characterize the linear response of these packings to strain.