Table 2 Coefficients underlying macro energy densities (\(\psi _{KE}\), \(\psi _{PE}\)) with respect to the two metamaterials
From: Enriched homogenized model for viscoelastic plane wave propagation in periodic layered composites
Meta-mat | \({\varvec{C}}_{\mathbf {(1)}}\) | \({\varvec{C}}_{\mathbf {(2)}}\) | \({\varvec{C}}_{\mathbf {(3)}}\) | \({\varvec{C}}_{\mathbf {(4)}}\) | \({\varvec{C}}_{\mathbf {(5)}}\) | \({\varvec{C}}_{\mathbf {(6)}}\) | \({\varvec{C}}_{\mathbf {(7)}}\) | \({\varvec{C}}_{\mathbf {(8)}}\) |
|---|---|---|---|---|---|---|---|---|
1 | 272.1 | \(54.9 D^2\) | 2759.6 | 53.6 | 246741 | \(72.9 D^2\) | \(\displaystyle {\frac{1.97\times 10^6}{D^2}}\) | 582.9 |
2 | 612.1 | \(84.0 D^2\) | 2459.6 | 1388.3 | 74414000 | \(7457.6 D^2\) | \(\displaystyle {\frac{5.92\times 10^8}{D^2}}\) | 103455 |