2020/01/15 by Jean‐Jacques Marigo, Marigo, Jean-Jacques, Kim Pham +5
Engineering · #Classical Physics (physics.class-ph) #Computational Physics (physics.comp-ph) #Dynamics and Control of Mechanical Systems #FOS: Physical sciences #Geophysics (physics.geo-ph) #Mechanical and Thermal Properties Analysis
paper · pdf · doi:10.48550/arxiv.2001.06304
openalex publication_date 2020/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a three-dimensional model describing the propagation of elastic waves in a soil substrate supporting an array of cylindrical beams experiencing flexural and compressional resonances. The resulting surface waves are of two types. In the sagittal plane, hybridized Rayleigh waves can propagate except within bandgaps resulting from a complex interplay between flexural and compressional resonances. We exhibit a wave decoupled from the hybridized Rayleigh wave which is the elastic analogue of electromagnetic spoof plasmon polaritons. This wave with displacements perpendicular to the sagittal plane is sensitive only to flexural resonances. Similar, yet quantitatively different, physics is demonstrated in a two-dimensional setting involving resonances of plates.