Auxetic and Non‐Auxetic Metamaterial Model from Interconnected Rotating Parallelograms and Triangles

Abstract

This article reports the design of a metamaterial model—made from interconnected units of rotating parallelograms and triangles—in which its Poisson's ratio can range from positive to negative by changing the internal angles between the rotating units. The on‐axes Poisson's ratios are established via geometrical construction while the on‐axes Young's moduli are extracted using energy approach. Results indicate that the metamaterial model manifests auxetic behavior for small and large internal angles, but non‐auxetic properties for intermediate range of internal angle. The results also reveal that a wide range of on‐axes Young's modulus can be adjusted by controlling the internal angle. A sustainable feature of this metamaterial model is its convenient adjustment of the effective mechanical properties over a wide range in order to be redeployed for different applications throughout its entire lifetime.