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Rayleigh wave propagation in nonlinear metasurfaces

Palermo, A. and Yousefzadeh, B. and Daraio, C. and Marzani, A. (2021) Rayleigh wave propagation in nonlinear metasurfaces. Journal of Sound and Vibration . ISSN 0022-460X. doi:10.1016/j.jsv.2021.116599. (In Press)

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We investigate the propagation of Rayleigh waves in a half-space coupled to a nonlinear metasurface. The metasurface consists of an array of nonlinear oscillators attached to the free surface of a homogeneous substrate. We describe, analytically and numerically, the effects of nonlinear interaction force and energy loss on the dispersion of Rayleigh waves. We develop closed-form expressions to predict the dispersive characteristics of nonlinear Rayleigh waves by adopting a leading-order effective medium description. In particular, we demonstrate how hardening nonlinearity reduces and eventually eliminates the linear filtering bandwidth of the metasurface. Softening nonlinearity, in contrast, induces lower and broader spectral gaps for weak to moderate strengths of nonlinearity, and narrows and eventually closes the gaps at high strengths of nonlinearity. We also observe the emergence of a spatial gap (in wavenumber) in the in-phase branch of the dispersion curves for softening nonlinearity. Finally, we investigate the interplay between nonlinearity and energy loss and discuss their combined effects on the dispersive properties of the metasurface. Our analytical results, supported by finite element simulations, demonstrate the mechanisms for achieving tunable dispersion characteristics in nonlinear metasurfaces.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Palermo, A.0000-0001-9431-0461
Yousefzadeh, B.0000-0002-6973-717X
Daraio, C.0000-0001-5296-4440
Marzani, A.0000-0001-7697-6729
Additional Information:© 2021 Elsevier Ltd. Received 14 July 2021, Revised 24 October 2021, Accepted 31 October 2021, Available online 11 November 2021. C.D. acknowledges support for this project from NSF EFRI award number 1741565. A.M. and A.P. acknowledge support for this project from European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska Curie grant agreement No 813424. CRediT authorship contribution statement: A. Palermo: Conceptualization, Investigation, Visualization, Software, Writing – original draft. B. Yousefzadeh: Conceptualization, Investigation, Visualization, Formal analysis, Writing – original draft. C. Daraio: Writing – review & editing, Conceptualization. A. Marzani: Writing – review & editing, Validation, Resources. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Funding AgencyGrant Number
Marie Curie Fellowship813424
Subject Keywords:Rayleigh waves; Nonlinear metasurfaces; Elastic metamaterials; Nonlinear dispersion; Damped wave propagation
Record Number:CaltechAUTHORS:20210729-194549899
Persistent URL:
Official Citation:A. Palermo, B. Yousefzadeh, C. Daraio, A. Marzani, Rayleigh wave propagation in nonlinear metasurfaces, Journal of Sound and Vibration, 2021, 116599, ISSN 0022-460X,
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110071
Deposited By: Tony Diaz
Deposited On:02 Aug 2021 18:46
Last Modified:12 Nov 2021 21:09

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