Analysis of seismic metasurfaces using specialised asymptotic models for Rayleigh waves
Peter Wootton (University of Glasgow)
Thursday 23rd January, 2020 14:00-15:00 Maths 116
Recently there has been significant interest, both in the experimental and theoretical communities, in the development of so called `seismic metasurfaces’; structures attached to the surface of a half-space intended to control and suppress wave propagation. Previous approaches have shown significant potential real-world applications, including distinct wave stop-bands. However modelling approaches have relied on numerical methods to determine the location and size of these stop-bands.
In this talk, a specialised asymptotic model oriented at predicting the near-Rayleigh wave behaviour is applied to a linearly-elastic half space with resonators attached to the surface. This asymptotic model is shown to be able to replicate the results from previous attempts to model rod-like resonators to a high degree of accuracy from a much simpler formulation. Following this success, refinements to the asymptotic model are considered which allow for accurate prediction of more sophisticated metasurfaces, including modelling the resonators to include flexural motion and consideration of different junction conditions between the half-space and resonators. The accuracy and relative simplicity of this approach opens the possibility of greater control over the design of these metasurfaces.