描述无序网络元材料的超均性.
Charles Emmett Maher1, Katherine A Newhall1
1University of North Carolina at Chapel Hill, Department of Mathematics, Chapel Hill, North Carolina, USA.
Physical review. E
|August 1, 2025
概括
来自超均点模式的网络结构部分继承了超均性. 遗传的程度取决于模块化方法和点图形障碍,而不是梁形状.
科学领域:
- 材料科学 材料科学 材料科学
- 物理 物理学 物理
- 计算几何学的计算几何学
背景情况:
- 超材料通过有序和无序的结构提供各种各样的特性.
- 超均材料可以抑制大规模的密度波动.
- 网络材料具有理想的物理特性.
研究的目的:
- 为了研究网络结构中的超均性继承从 tessellating 超均点模式.
- 分析不同模块化方案如何影响网络材料中的超均性.
主要方法:
- 在2D和3D中检查了Delaunay,Voronoi,Delaunay-centroidal和Gabriel的超均和非超均的点图案.
- 利用光谱密度来分析加厚图形 (2D) 中的密度波动.
- 引入了基于差异的测量方法,用于直接描述网络结构 (2D和3D).
主要成果:
- 没有一个图片化方案完全继承了原始点模式的超均性.
- 超均性遗传对图形化方法很敏感.
- 遗传取决于点模式中的短期和长期障碍.
- 在从网络中创建双相介质时,光束形状不会影响超均性.
结论:
- 来自超均点模式的网络结构表现出部分超均.
- 图形化方案和点图形障碍是影响超均性遗传的关键因素.
- 这些发现为设计高级无序超均网络元材料提供了洞察力.
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