Quasi-static crushing response analysis of a novel 3D double re-entrant auxetic metamaterial

In a 2D negative Poisson’s ratio (NPR) material, stretching (or compressing) in one direction results in expansion (or contraction) in the perpendicular direction, which limits its range of applications. Based on the 2D double re-entrant honeycomb (DRH) structure, this paper proposes three 3D DRH structures and derives the mechanical properties of these NPR structures. These 3D honeycomb structures are then fabricated using 3D printing technology, and their deformation behavior under uniaxial quasi-static loading is systematically investigated through experimental and simulation methods. By combining finite element analysis, experimental tests, and theoretical derivation, this study discusses the mechanical properties of the specimens, such as Poisson’s ratio behavior in detail. Furthermore, the energy absorption capacities of several 3D structures under quasi-static loading are compared. The results show that the finite element simulations, theoretical predictions, and experimental findings are in good agreement, and the 3D DRH structure exhibits a more stable concave mechanism, a higher energy absorption range, and better specific energy absorption compared to the 2D DRH structure.