Relation of Bulk‐to‐Shear Loss Factors in Viscoelastic Auxetic Metamaterials

This article explores the dynamic properties of isotropic auxetic viscoelastic materials, emphasizing the relationships between dynamic bulk and shear moduli, dynamic Poisson's ratio, and energy dissipation. By extending established theories to the negative Poisson's ratio range, it is demonstrated that these relationships remain valid and reveal how dynamic Poisson's ratio impacts Poisson to shear and bulk‐to‐shear loss factor ratios. Building on Pritz's foundational work, it is shown that it accurately predicts the bulk‐to‐shear loss factor ratio for auxetic materials. The findings identify the bounds of these ratios within the auxetic range, offering new insights into the behavior of auxetic materials compared to conventional viscoelastic solids. These results are significant for applications requiring advanced damping and energy absorption, such as in defense, sports, and vibration control. The ability to tailor dynamic properties of materials for enhanced performance in these fields is crucial.