Deformation properties of a metamaterial under changes in the sizes of the tetrachiral structure elements

Due to their special properties, mechanical honeycomb metamaterials, such as tetrachiral ones, have attracted a lot of research. The present study investigates the effect of deflection of a metamaterial sample under uniaxial loading. The mechanical behavior (deviation of the sample from its initial position) reveals an interesting phenomenon to consider, which is influenced by the cross-sectional area of the tetrachiral structure and the ring size. A comparison shows that a larger cross-sectional area results in less deviation for smaller ring sizes. Greater deviation is associated with larger areas as the ring size increases, as opposed to smaller areas. The twisting of the rings causes the lateral dimensions of the sample to change, and this makes it possible to study how changes in the metamaterial structure affect its effective Poisson’s ratio. Although Poisson’s ratio varies only slightly depending on the parameters, it can also take on a negative value. For Poisson’s ratio, an analytical formula is presented, which sufficiently characterizes any graph of dependencies.