Multifunctional twisted kagome lattices: Tuning by pruning mechanical metamaterials
Multifunctional twisted kagome lattices: Tuning by pruning mechanical metamaterials
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DOI：
10.1103/physreve.101.063001
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发表时间：
2020-06-01
影响因子：
2.4
通讯作者：
Lubensky, T. C.
中科院分区：
文献类型：
--
作者：
Liarte, Danilo B.;Stenull, O.;Lubensky, T. C.
本文研究了随机稀释晶格中的声子和弹性响应，该晶格是通过将体积模量 B = 0 且剪切模量 G > 0 的扭曲 Kagome 晶格与 B > 0 且 G > 0 的广义非扭曲 Kagome 晶格或 B > 0 且 G = 0 的蜂窝晶格组合（通过添加次近键）而构建的。这些晶格表现出类似干扰的临界端点，在该端点处 B、G 或 B 和G 从零不连续跳跃，而剩余模数（如果有）开始从零连续增长。这些干扰点对由连续刚性渗透过渡线连接起来，B 和 G 都从零开始连续增长。泊松比和 G/B 可以通过随机稀释在其整个物理范围内连续调整，其方式类似于随机堵塞晶格中的“修剪调整”。这些晶格可以用现代技术（例如三维印刷）来生产，用于构建超材料。
This article investigates phonons and elastic response in randomly diluted lattices constructed by combining (via the addition of next-nearest bonds) a twisted kagome lattice, with bulk modulus B = 0 and shear modulus G > 0, with either a generalized untwisted kagome lattice with B > 0 and G > 0 or with a honeycomb lattice with B > 0 and G = 0. These lattices exhibit jamming-like critical endpoints at which B, G, or both B and G jump discontinuously from zero while the remaining moduli (if any) begin to grow continuously from zero. Pairs of these jamming points are joined by lines of continuous rigidity percolation transitions at which both B and G begin to grow continuously from zero. The Poisson ratio and G/B can be continuously tuned throughout their physical range via random dilution in a manner analogous to "tuning by pruning" in random jammed lattices. These lattices can be produced with modern techniques, such as three-dimensional printing, for constructing metamaterials.