负拓扑电荷的聚集先于 3D 眼镜的塑性失效

Arabinda Bera, Matteo Baggioli, Timothy C Petersen, Timothy W Sirk, Amelia C Y Liu, Alessio Zaccone
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摘要

由于缺乏介导塑性变形的定义明确的拓扑缺陷,人们对受到外部剪切的无定形固体的变形机制仍然知之甚少。软点的概念已成为表征不可逆重排和塑性流动开始的有用工具,但这些实体在几何和拓扑方面并没有明确定义。在本研究中,我们揭示了最近发现的、精确定义的拓扑缺陷现象学,这些缺陷控制着模型三维玻璃在剪切变形下的微观机械和屈服行为。我们发现在三维非正交位移场中存在涡旋状和反涡旋状拓扑缺陷。这些缺陷的数量密度与塑性事件呈现出显著的反相关性,缺陷的增殖-湮灭循环分别与弹性样段和灾难性塑性滴落的交替相匹配。此外,我们还观察到这些点状缺陷通过塑性事件集体湮灭,在具有强非正交位移特征的区域附近存在较大的局部拓扑电荷波动。我们发现,塑性屈服是由几个大尺寸的净负拓扑电荷簇驱动的,它们的大规模湮灭引发了塑性流动的开始。这些发现提出了软点的几何和拓扑特征,为从机理上理解拓扑缺陷作为玻璃态材料塑性变形的媒介铺平了道路。
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Clustering of negative topological charges precedes plastic failure in 3D glasses
The deformation mechanism in amorphous solids subjected to external shear remains poorly understood because of the absence of well-defined topological defects mediating the plastic deformation. The notion of soft spots has emerged as a useful tool to characterize the onset of irreversible rearrangements and plastic flow, but these entities are not clearly defined in terms of geometry and topology. In this study, we unveil the phenomenology of recently discovered, precisely defined topological defects governing the microscopic mechanical and yielding behavior of a model 3D glass under shear deformation. We identify the existence of vortex-like and anti-vortex-like topological defects within the 3D non-affine displacement field. The number density of these defects exhibits a significant anti-correlation with the plastic events, with defect proliferation-annihilation cycles matching the alternation of elastic-like segments and catastrophic plastic drops, respectively. Furthermore, we observe collective annihilation of these point-like defects via plastic events, with large local topological charge fluctuations in the vicinity of regions that feature strong non-affine displacements. We reveal that plastic yielding is driven by several large sized clusters of net negative topological charge, the massive annihilation of which triggers the onset of plastic flow. These findings suggest a geometric and topological characterization of soft spots and pave the way for the mechanistic understanding of topological defects as mediators of plastic deformation in glassy materials.
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