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Table 1 Summary of adopted parameters and information for the two metamaterials

From: Enriched homogenized model for viscoelastic plane wave propagation in periodic layered composites

Meta-matD\(^{{\mathbf{a}}}\)MatrixCompliant layerStiff inclusion
\({\varvec{E}}_{\mathbf {1}}^{{\mathbf{b}}}\)\({\varvec{\rho }_{\mathbf 1}}^{{\mathbf{c}}}\)f\({{\varvec{E}}_{\mathbf 2}^{\mathbf {0}}}^{{\mathbf{b}}}\)\({{\varvec{E}}_{\mathbf {2}}^{\varvec{\infty }}}^{{\mathbf{b}}}\)\({\varvec{\rho }_{\mathbf 2}}^{{\mathbf{c}}}\)\({\varvec{g}}\)\({{\varvec{E}}_{\mathbf {3}}}^{{\mathbf{b}}}\)\({\varvec{\rho }_{\mathbf 3}}^{{\mathbf{c}}}\)\({\varvec{h}}\)
  EpoxySilicon rubberLead\({}^{\mathrm{d}}\)
1214.351180\(\displaystyle {\frac{6}{21}}\)\(1.175 \times 10^{-4}\)\(0.47 \times 10^{-4}\)1300\(\displaystyle {\frac{5}{21}}\)40.811600\(\displaystyle {\frac{10}{21}}\)
  MortarNatural rubberLead\({}^{\mathrm{e}}\)
230302500\(\displaystyle {\frac{6}{30}}\)0.010.004900\(\displaystyle {\frac{2}{30}}\)1611400\(\displaystyle {\frac{22}{30}}\)
  1. \({}^{\mathrm{a}}\) Units in \(\mathrm {mm}\)
  2. \({}^{\mathrm{b}}\) Units in GPa
  3. \({}^{\mathrm{c}}\) Units in \(\mathrm {kg/m^3}\)
  4. \({}^{\mathrm{d}}\) Typical of lead alloys
  5. \({}^{\mathrm{e}}\) Typical of pure lead