Omnidirectional elastic wave attenuation via an isotoxal-star-based auxetic micro-lattice

Abstract: This paper introduces a micro-lattice based metamaterial for low frequency wide-band vibration attenuation, that is enabled by engineering the metamaterial's building blocks to induce local resonance bandgaps for elastic waves in all directions of propagation. The transmission rate through the proposed structure is examined and strong wave attenuation is demonstrated for a remarkably small number of unit cells. Additionally, it is shown that the bandgaps are tailorable via the geometrical parameters and can be leveraged to design a hybrid metamaterial with an extremely wide bandgap. Alongside being thin, lightweight, and capable of attenuating elastic waves in all directions, the proposed material also possesses the second order functionality of exhibiting a negative Poisson's ratio and can pave the way for identifying exotic functional materials.