Two-dimensional graded metamaterials with auxetic rectangular perforations

This work describes the in-plane uniaxial tensile mechanical properties of two-dimensional graded rectangular perforations metamaterials using numerical homogenization finite element approaches benchmarked by experimental results. The metamaterial configuration is based on patterns centre-symmetric perforated cells that can exhibit an auxetic (negative Poisson’s ratio) behavior. Global and local equivalent are measured digital image correlation techniques mapped over Finite Element models to identify strain related stress distributions at different scales. samples their counterpart parametrized against spacing aspect ratios cells. overall stiffness behavior plates features a higher degree compliance depends both geometries areas, but also pattern used. Local ratio effects show general constraint compared case uniform plates, interesting controllable shape changes due loading applied.