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该论文下载地址:https://arxiv.org/abs/2205.14176
引用该论文作为参考文献,可以写成:
Jiang Ke. Orthotropic metamaterials with freely tailorable elastic constants. Preprint at https://doi.org/10.48550/arXiv.2205.14176 (2022).
Abstract: An orthotropic metamaterial is composed of elements arrayed periodically in space. The element includes two cuboid structures. The first structure is the basic structure of the element, and the second structure is the transformation of the first structure of the element. The first structure of the element is a cuboid structure composed of 24 bars connected by 8 nodes, and the second structure of the element is a cuboid structure composed of 36 bars connected by 14 nodes. This metamaterial has 6 independent elastic constants, so there is a large degree of freedom in material design. Using a simple universal design method, a metamaterial with tailored elastic constants can be designed. Therefore, it has great application value in the fields of mechanical metamaterials, elastic wave metamaterials, acoustic metamaterials, and seismic metamaterials, and has also laid the foundation for realizing the dream of controlling elastic waves, acoustic waves and vibrations.
摘要:一种正交各向异性的超材料,是由在空间上周期性排列的单元构成,单元包括两种长方体形状结构,第一种结构是单元的基本结构,第二种结构是单元的第一种结构的变换;单元的第一种结构是由24个杆件通过8个结点连接组成的长方体形状结构,单元的第二种结构是由36个杆件通过14个结点连接组成的长方体形状结构。该超材料具有6个独立的弹性常数,这样在材料设计时,就具有较大的设计自由度,采用简单的通用设计方法,就可以设计出指定弹性常数的超材料,在力学超材料、弹性波超材料、声学超材料、地震超材料领域,具有非常重大的应用价值,也为实现控制弹性波、声波、振动的梦想奠定了基础。
论文最后指出:基于作者提出的固体单元模型,采用相同的方法,如同1+1=2一般的简单,就可以拓展到具有9个独立的弹性常数的三维超材料,以及拓展到平面超材料。
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