Effects of scars on icosahedral crystalline shell stability under external pressure.

Effects of scars on icosahedral crystalline shell stability under external pressure.
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DOI:
10.1103/physreve.91.033205
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发表时间:
2014-10
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
Duanduan Wan;M. Bowick;R. Sknepnek
Duanduan Wan;M. Bowick;R. Sknepnek
中科院分区:
其他
文献类型:
--
作者:
Duanduan Wan;M. Bowick;R. Sknepnek

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我们研究了球形晶体壳在外压下的稳定性是如何受到缺陷结构的影响。特别是,我们比较稳定的壳与一组最小的拓扑所需的缺陷扩展缺陷阵列(晶界“疤痕”与非零净向错收费)的壳。我们进行Monte Carlo和共轭梯度模拟,以比较如何外壳和没有疤痕下的外部静水压力准静态变形。我们发现,壳崩溃的临界压力降低疤痕配置,打破二十面体对称性和提高疤痕,保持二十面体对称性。由初始二十面体对称壳的破裂产生的特殊形状取决于Föppl-von Kármán数。
We study how the stability of spherical crystalline shells under external pressure is influenced by the defect structure. In particular, we compare stability for shells with a minimal set of topologically required defects to shells with extended defect arrays (grain boundary "scars" with nonvanishing net disclination charge). We perform both Monte Carlo and conjugate gradient simulations to compare how shells with and without scars deform quasistatically under external hydrostatic pressure. We find that the critical pressure at which shells collapse is lowered for scarred configurations that break icosahedral symmetry and raised for scars that preserve icosahedral symmetry. The particular shapes which arise from breaking of an initial icosahedrally symmetric shell depend on the Föppl-von Kármán number.