An analytical and finite element study on the mechanical properties of irregular hexachiral honeycombs

The highly symmetric hexachiral honeycomb with an isotropic Poisson's ratio of -1 is one of the earliest and most well-known examples of auxetic mechanical metamaterials and has been proposed for numerous applications ranging from satellite antennas to stents. In this work, we propose a novel, less symmetric generic form of the hexachiral honeycomb that is made up of three sets of unequally sized ligaments rather than six identical ones and has the potential to exhibit a wide range of negative Poisson's ratios. Using finite element analysis, we investigated the deformation behaviour of these generic hexachiral systems and derived an analytical model which may be used to predict the Poisson's ratio of these systems. The results obtained indicate that the hexachiral topology is extremely versatile with respect to its potential to exhibit diverse mechanical properties and it is hoped that this added tenability will enhance the functionality and applicability of this class of auxetic mechanical metamaterials.