Orthotropic metamaterials with freely tailorable elastic constants

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.