Effective model for elastic waves in a substrate supporting an array of plates/beams with flexural and longitudinal resonances

DOI10.1007/s10659-021-09854-4zbMath1483.35255OpenAlexW3199554214MaRDI QIDQ824142

N. E. Zubov

Publication date: 14 December 2021

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-021-09854-4

zbMATH Keywords

asymptotic analysiselastic wavesmetamaterialsmetasurfacesmultimodal methods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Wave scattering in solid mechanics (74J20) Resonance in context of PDEs (35B34) PDEs in connection with mechanics of deformable solids (35Q74) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Cites Work

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• Vibrations and elastic waves in chiral multi-structures
• An asymptotic hyperbolic–elliptic model for flexural-seismic metasurfaces
• A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane

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