Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation

DOI10.1093/IMAMAT/HXAC023zbMath1506.74180OpenAlexW4297036491MaRDI QIDQ5871260

Barış Erbaş, Gökçe Kiliç, Julius D. Kaplunov

Publication date: 18 January 2023

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/hxac023

zbMATH Keywords

long-wave approximationdispersion relationKirchhoff plate theorylow-frequency approximationcut-off frequency

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20)

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