Computational Characterization of the Effective Out-of-Plane Elastic Properties of Two-Dimensional Auxetic Lattice Plates

This study investigates the bending behavior of 2D lattice plates comprising auxetic unit cells having re-entrant hexagonal shapes. Each strut of the unit cells is modeled as an Euler–Bernoulli beam element. Through the homogenization method based on equivalent strain energies, the effective out-of-plane elastic properties of the 2D auxetic lattice plates are derived, including bending moduli, shear moduli, and Poisson’s ratio. To validate the results, the effective elastic properties derived through the homogenization method are compared numerically with those obtained from direct structural analysis. Furthermore, the obtained findings demonstrate how the bending response of the 2D auxetic lattice plates can be adjusted by modifying their unit-cell geometries, particularly the internal cell angle.