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Low-frequency propagating and evanescent waves in high-contrast sandwich structures
Ludmila Prikazchikova  1@  , Ameya Rege  2@  , Danila Prikazchikov  1@  , Baris Erbas  1@  
1 : School of Computer Science and Mathematics, Keele University
2 : Faculty of Engineering Technology (ET), University of Twente

The presentation is concerned with elastic waves propagation in aerogel-based sandwich plates, characterised by a high contrast in geometric and mechanical parameters of the layers. A multiparametric approach is developed. It is demonstrated that due to a high contrast an additional low-frequency propagating wave and a slowly decaying evanescent one emerges. The link between them is investigated. Two-mode long-wave low-frequency asymptotic expansions of the full dispersion relation are derived. Comparison of the asymptotic results with the numerical solution of the full dispersion relation is presented.


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