论文标题
弯曲手性分形晶格超材料
Bending of chiral fractal lattice metamaterials
论文作者
论文摘要
我们通过使用理论模型，全尺度有限元和实验测试的结合来描述手性分形晶格的平面外弯曲，这些模型和实验测试代表了三分弯曲下超材料光束的弯曲行为。在三组结果之间观察到良好的一致性。参数分析显示弯曲模量与单位细胞的宽高比之间的线性对数 - 对象之间的关系，这表明超材料的分形性质。这些手性分形超材料的弯曲和平面拉伸模量之间的比率在〜5至〜34之间，并且与不同分形阶的手性单位细胞的肋骨的长度和肋骨之间的比例成正比。这些特性表明，手性分形晶格超材料类别在弯曲和平面伸展行为之间提供了质量，可以通过采用分形尺度来定制。
We describe the out-of-plane bending of chiral fractal lattices metamaterials by using a combination of theoretical models, full-scale finite elements and experimental tests representing the flexural behaviour of metamaterial beams under three-point bending. Good agreement is observed between the three sets of results. Parametric analyses show a linear log-log relation between bending modulus and aspect ratios of the unit cells, which are indicative of the fractal nature of the metamaterial. The ratio between the bending and in-plane tensile moduli of these chiral fractal metamaterials ranges between ~ 5 and ~ 34 and is linearly proportional to the square of the ratio between length and width of the ribs of the chiral unit cells at different fractal orders. These properties suggest that the class of chiral fractal lattice metamaterials offer metacompliance properties between the flexural and in-plane stretching behaviours, which can be tailored by the adoption of the fractal scales.
