Attenuation of surface Love waves via embedded locally resonant metamaterials
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This work investigates the mitigation of elastic Love waves, horizontally polarized surface waves supported by layered elastic media, through the introduction of a thick locally resonant metamaterial layer placed on top of an isotropic, homogeneous elastic half-space. The proposed configuration consists of a bilayer system in which an array of discrete horizontal mass-spring resonators, characterized by subwavelength dimensions and spacing, is embedded within the surface layer. An analytical framework is developed by applying a homogenization procedure to the resonant layer, yielding effective dynamic properties that account for local resonance effects in the long-wavelength regime. On this basis, the analytical dispersion relation formulation governing Love wave propagation in the homogenized system is derived. The dispersion analysis reveals the emergence of a low-frequency bandgap induced by the embedded resonators, leading to a pronounced attenuation of Love waves [1]. Such bandgap formation has not been observed for ultra-thin elastic metasurfaces attached to the surface of a bilayer medium [2]. The effects of the main resonator design parameters on the bandgap characteristics are systematically investigated. Analytical predictions are then validated through numerical simulations based on a wave finite element approach, complemented by harmonic response analyses to better illustrate the underlying wave attenuation mechanisms. The results provide physical insight into the interaction between elastic surface waves and locally resonant metamaterials and establish practical design guidelines for vibration mitigation systems targeting train-induced ground vibrations. ACKNOWLEDGMENTS This work has received funding from the European Union’s Horizon Europe research and innovation programme under the Marie Skłodowska‑Curie Actions Grant Agreement No. 101106600 (REMoTIon - REsonant Metamaterials for Train‑Induced ground vibration mitigation). REFERENCES [1] F. Zeighami, A. Palermo, and A. Marzani, Locally resonant metamaterials for controlling seismic Love waves, 18WCEE Proceedings, (2024), pp. 1–11. [2] A. Palermo and A. Marzani, Control of Love waves by resonant metasurfaces, Sci. Rep. 8(1), (2018), 7234.
