An asymptotic hyperbolic–elliptic model for flexural-seismic metasurfaces

DOI10.1098/RSPA.2019.0079zbMath1472.74165arXiv1904.07690OpenAlexW3104056496WikidataQ92682997 ScholiaQ92682997MaRDI QIDQ5160716

D. J. Colquitt, Peter Wootton, Julius D. Kaplunov

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07690

zbMATH Keywords

Rayleigh wavesasymptoticmathematical modellingsurface wavesapplied mathematicswave motionresonant arrays

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Surface waves in solid mechanics (74J15)

Related Items (8)

Effective model for elastic waves in a substrate supporting an array of plates/beams with flexural and longitudinal resonances ⋮ Elastodynamics of a coated half-space under a sliding contact ⋮ On Rayleigh wave field induced by surface stresses under the effect of gravity ⋮ The effect of contact conditions on the performance of flexural seismic metasurfaces ⋮ Transient scattering of a Rayleigh wave by a cluster of subwavelength resonators -- towards asymptotic modeling of seismic surface metabarriers ⋮ Reduced model for the surface dynamics of a generally anisotropic elastic half-space ⋮ Hybrid Rayleigh wave along a nonlocal nonlinear metasurface with two-degree-of-freedom spring-mass resonators ⋮ Lamb's problem for a half-space coupled to a generic distribution of oscillators at the surface

Cites Work

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• Explicit formulation for the Rayleigh wave field induced by surface stresses in an orthorhombic half-plane
• Explicit models for elastic and piezoelastic surface waves
• Elastic Chiral Waveguides with Gyro-Hinges
• Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects
• On modifications of Newton's second law and linear continuum elastodynamics

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