@article{Colquitt:2017:10.1016/j.jmps.2016.12.004,
author = {Colquitt, DJ and Colombi, A and Craster, RV and Roux, P and Guenneau, SRL},
doi = {10.1016/j.jmps.2016.12.004},
journal = {Journal of the Mechanics and Physics of Solids},
pages = {379--393},
title = {Seismic metasurfaces: sub-wavelength resonators and Rayleigh wave interaction},
url = {http://dx.doi.org/10.1016/j.jmps.2016.12.004},
volume = {99},
year = {2017}
}

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TY  - JOUR
AB  - We consider the canonical problem of an array of rods, which act as resonators, placed on an elastic substrate; the substrate being either a thin elastic plate or an elastic half-space. In both cases the flexural plate, or Rayleigh surface, waves in the substrate interact with the resonators to create interesting effects such as effective band-gaps for surface waves or filters that transform surface waves into bulk waves; these effects have parallels in the field of optics where such sub-wavelength resonators create metamaterials, and metasurfaces, in the bulk and at the surface respectively. Here we carefully analyse this canonical problem by extracting the dispersion relations analytically thereby examining the influence of both the flexural and compressional resonances on the propagating wave. For an array of resonators atop an elastic half-space we augment the analysis with numerical simulations. Amongst other effects, we demonstrate the striking effect of a dispersion curve that transitions from Rayleigh wave-like to shear wave-like behaviour and the resultant change in displacement from surface to bulk waves.
AU  - Colquitt,DJ
AU  - Colombi,A
AU  - Craster,RV
AU  - Roux,P
AU  - Guenneau,SRL
DO  - 10.1016/j.jmps.2016.12.004
EP  - 393
PY  - 2017///
SN  - 0022-5096
SP  - 379
TI  - Seismic metasurfaces: sub-wavelength resonators and Rayleigh wave interaction
T2  - Journal of the Mechanics and Physics of Solids
UR  - http://dx.doi.org/10.1016/j.jmps.2016.12.004
UR  - http://arxiv.org/abs/1608.01792v1
UR  - http://hdl.handle.net/10044/1/39768
VL  - 99
ER  - 

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