Mechanical properties of a rotating re-entrant hexagonal auxetic structure: A theoretical study

Abstract

This study proposes a novel rotating re-entrant hexagonal honeycomb structure with negative Poisson’s ratio and derives an analytical expression for its equivalent Poisson’s ratio using the energy method. The validity of the analytical solution is verified through finite element analysis. Based on the derived model, the influences of three key geometric parameters on the equivalent Poisson’s ratio are investigated: the cell angle of the rotating structure, the cell angle of the re-entrant structure and the length-to-height ratio. Results indicate that the negative Poisson’s ratio effect weakens as the rotating structure cell angle increases. In contrast, it first strengthens and then weakens with an increasing length-to-height ratio. The influence of the re-entrant structure cell angle is more complex and varies with the length-to-height ratio. Specifically, at lower length-to-height ratios, the equivalent Poisson’s ratio increases gradually with the re-entrant structure cell angle, while at higher length-to-height ratios, it initially increases and then decreases.