论文标题
多功能扭曲 - 晶格：通过修剪机械超材料调整
Multi-functional Twisted-Kagome lattices: Tuning by Pruning Mechanical Metamaterials
论文作者
论文摘要
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 $G=0$.这些格子表现出类似于$ b $，$ g $或$ b $和$ g $的关键终点，从零不连续跳，而其余的模量（如果有）（如果有）从零开始不断增长。这些干扰点的成对与连续刚性渗透过渡的线相连，因为$ b $和$ g $都从零开始不断增长。泊松比和$ g/b $可以通过随机稀释在其物理范围内连续调节，其方式类似于在随机堵塞的晶格中“通过修剪”。这些晶格可以用现代技术（例如3D打印）来构建超材料。
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 end-points 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 3D printing, for constructing metamaterials.
