Table 3 Loading frequency F, wavelength ratios (\({{\bar{\lambda }}}_1\), \({{\bar{\lambda }}}_2\), \({{\bar{\lambda }}}_3\)) and relaxation time \(\kappa \) ([A], [B], [C]) considered for benchmark examples
From: Enriched homogenized model for viscoelastic plane wave propagation in periodic layered composites
Meta-mat | \({\mathbf {Loading~frequency,~F}}\) | Relaxation time, \(\varvec{\kappa }\) (\(\mathbf {s}\)) | |||
|---|---|---|---|---|---|
\(\varvec{{\bar{\lambda }}}_{\mathbf 1}{}^{{\mathbf{a}}}\), \(\varvec{{\bar{\lambda }}}_{\mathbf 2}^{{\mathbf{b}}}\), \(\varvec{{\bar{\lambda }}}_{\mathbf 3}^{{\mathbf{c}}}\) | \(\varvec{{\bar{\lambda }}}_{\mathbf 1}\) , \(\varvec{{\bar{\lambda }}}_{\mathbf 2}\), \(\varvec{{\bar{\lambda }}}_{\mathbf 3}\) | [A] | [B] | [C] | |
50 | 1000 | ||||
1 | 12800, 76, 3751 | 640, 3.8, 188 | \(\infty \) | 0.256 | 0.0255 |
500 | 10,000 | ||||
2 | 2309, 211, 108 | 116, 10.5, 5.4 | \(\infty \) | 0.026 | 0.0026 |