Rayleigh wave propagation in nonlinear metasurfaces

Palermo, Antonio; Yousefzadeh, Behrooz; Daraio, Chiara; Marzani, Alessandro

doi:10.1016/j.jsv.2021.116599

Cited by 28 publications

(3 citation statements)

References 44 publications

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“…The obtained results may be extended to flexural meta-surfaces, complementing the results in Reference. 20 Other options are related to incorporating the effects of more general types of anisotropy, 14 vertical inhomogeneity, 16,24,27 nonlinearity, 28 as well as performing a refined treatment of the contact force. 29…”

Section: Discussionmentioning

confidence: 99%

Seismic metasurface on an orthorhombic elastic half-space

Prikazchikov,

Sabirova,

Wootton

2023

Science Progress

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The article is studying a seismic meta-surface in the case of an oscillatory system arranged on the surface of an orthorhombic elastic half-space. The approach is based on the asymptotic hyperbolic–elliptic formulation for the Rayleigh wave excited by prescribed surface loading. The latter results in hyperbolic equations for surface displacements, with the right-hand sides involving the loading components. The derived model allows a formulation for the meta-surface in the form of a periodic spring-mass system attached to the surface as a hyperbolic equation for the horizontal displacement, with smooth contact stresses emerging from averaging the effect of a regular array of oscillators. The associated dispersion relation is constructed and illustrated numerically for both cases of exponential and oscillatory decay.

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Section: Discussionmentioning

confidence: 99%

Seismic metasurface on an orthorhombic elastic half-space

Prikazchikov,

Sabirova,

Wootton

2023

Science Progress

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“…In recent years, periodic structures based on the local resonance mechanism have received much attention by many scholars. It can manipulate elastic waves on subwavelength scales, and has been extensively implemented in beams [33,34], plates [35,36], wave barriers [37,38], acoustic isolation panels [39] and metasurfaces [40,41]. Regretfully, these studies do not cover the vibration mitigation performance of periodic barriers in unsaturated soils.…”

Section: Introductionmentioning

confidence: 99%

Broadband surface wave manipulation by periodic barriers in unsaturated soil

Wu,

Shi

2024

Phil. Trans. R. Soc. A.

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Periodic wave barriers have been widely used to manipulate elastic waves propagating in saturated and single-phase soil due to their attenuation zone properties. However, it is difficult to promote application of periodic barriers in unsaturated soils due to their complex constitutive relationship. In this study, manipulation of surface waves by periodic in-filled trench barriers in unsaturated soil has been studied based on the periodic theory. The dispersion relations of a periodic structure for surface waves in unsaturated soil are determined. The attenuation mechanism of evanescent surface waves is revealed. Next, the effects of several key parameters of unsaturated soil on the attenuation zones of the periodic in-filled trench barriers are comprehensively discussed. It is found that in a particular range for material parameter, the surface waves are attenuated over the entire frequency range due to the viscosity of fluid. Finally, a periodic in-filled trench barrier is designed according to a field test of ground vibration induced by a train, and its performances in mitigating surface waves propagating in unsaturated and saturated soils are conducted and compared by conducting analysis in time domain. This investigation provides a new insight for manipulating surface waves by periodic barriers. This article is part of the theme issue ‘Current developments in elastic and acoustic metamaterials science (Part 1)’.

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“…Recently, experimental results have shown that coupling FBG and SBG can create wider Rayleigh wave attenuation, where the distance between the different bandgaps is critical [ 72 ]. In the latest research on the introduction of strong nonlinearity into resonators arranged on free surfaces, the dispersion of low- and higher-order harmonics spreading through the metasurface has been found, which provides an opportunity to broaden the bandgap, but it is still difficult to reduce the effective frequency to an ultralow level [ 73 , 74 ].…”

Section: Introductionmentioning

confidence: 99%

Unlocking Novel Ultralow-Frequency Band Gap: Assembled Cellular Metabarrier for Broadband Wave Isolation

et al. 2022

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Admittedly, the design requirements of compactness, low frequency, and broadband seem to constitute an impossible trinity, hindering the further development of elastic metamaterials (EMMs) in wave shielding engineering. To break through these constraints, we propose theoretical combinations of effective parameters for wave isolation based on the propagation properties of Lamb waves in the EMM layer. Accordingly, we design compact EMMs with a novel ultralow−frequency bandgap, and the role of auxeticity in the dissociation between the dipole mode and the toroidal dipole mode is clearly revealed. Finally, under the guidance of the improved gradient design, we integrate multiple bandgaps to assemble metamaterial barriers (MMBs) for broadband wave isolation. In particular, the original configuration is further optimized and its ultralow−frequency and broadband performance are proven by transmission tests. It is foreseeable that our work will provide a meaningful reference for the application of the new EMMs in disaster prevention and protection engineering.

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Rayleigh wave propagation in nonlinear metasurfaces

Cited by 28 publications

References 44 publications

Seismic metasurface on an orthorhombic elastic half-space

Seismic metasurface on an orthorhombic elastic half-space

Broadband surface wave manipulation by periodic barriers in unsaturated soil

Unlocking Novel Ultralow-Frequency Band Gap: Assembled Cellular Metabarrier for Broadband Wave Isolation

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