From: Enriched homogenized model for viscoelastic plane wave propagation in periodic layered composites
Meta-mat | D\(^{{\mathbf{a}}}\) | Matrix | Compliant layer | Stiff inclusion | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|
\({\varvec{E}}_{\mathbf {1}}^{{\mathbf{b}}}\) | \({\varvec{\rho }_{\mathbf 1}}^{{\mathbf{c}}}\) | f | \({{\varvec{E}}_{\mathbf 2}^{\mathbf {0}}}^{{\mathbf{b}}}\) | \({{\varvec{E}}_{\mathbf {2}}^{\varvec{\infty }}}^{{\mathbf{b}}}\) | \({\varvec{\rho }_{\mathbf 2}}^{{\mathbf{c}}}\) | \({\varvec{g}}\) | \({{\varvec{E}}_{\mathbf {3}}}^{{\mathbf{b}}}\) | \({\varvec{\rho }_{\mathbf 3}}^{{\mathbf{c}}}\) | \({\varvec{h}}\) | ||
Epoxy | Silicon rubber | Lead\({}^{\mathrm{d}}\) | |||||||||
1 | 21 | 4.35 | 1180 | \(\displaystyle {\frac{6}{21}}\) | \(1.175 \times 10^{-4}\) | \(0.47 \times 10^{-4}\) | 1300 | \(\displaystyle {\frac{5}{21}}\) | 40.8 | 11600 | \(\displaystyle {\frac{10}{21}}\) |
Mortar | Natural rubber | Lead\({}^{\mathrm{e}}\) | |||||||||
2 | 30 | 30 | 2500 | \(\displaystyle {\frac{6}{30}}\) | 0.01 | 0.004 | 900 | \(\displaystyle {\frac{2}{30}}\) | 16 | 11400 | \(\displaystyle {\frac{22}{30}}\) |