A Design of Auxetic Metamaterial with Locally Resonant Bandgaps Using Topological Optimization

Abstract

In the past two decades, auxetic metamaterials have shown their potential in many fields such as energy absorption and vibration mitigation. Many mechanisms have been proposed to guide the design of their microstructures. More recently, structural optimization methods, especially topology optimization, have been employed for the design and optimization of metamaterials. In this paper, topology optimization was employed with the SIMP method and MMA optimizer for the design of auxetic metamaterials. The negative Poisson’s ratio was verified by numerical simulation. Bandgap study was also conducted on the optimized layout and it showed that the optimization also achieved auxetic metamaterials with two narrow locally resonant bandgaps in addition to broadening and lowering the bandgap of the initial configuration.