Nieves, MJ ORCID: https://orcid.org/0000-0003-4616-4548, Carta, G, Pagneux, V and Brun, M (2020) Rayleigh waves in micro-structured elastic systems: Non-reciprocity and energy symmetry breaking. International Journal of Engineering Science, 156.

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Abstract

Rayleigh waves are analysed in elastic lattices incorporating inertial devices that couple in-plane displacements. The vector problems of elasticity for a triangular lattice and its long-wavelength/low-frequency continuum approximation are considered. The analytical procedure for the derivation of the Rayleigh dispersion relation is fully detailed and, remarkably, explicit solutions for the Rayleigh waves for both the discrete and continuous systems are found. The dispersion at low wavenumbers and the softening induced by the presence of in-plane inertial coupling are shown. Despite the symmetry of the dispersion curves with respect to the wavenumber, the introduction of the inertial coupling breaks the symmetry of the eigenmodes and makes the system non-reciprocal. Such an uncommon effect is demonstrated in a set of numerical computations, where a point force applied on the boundary generates surface and bulk waves that do not propagate symmetrically from the source.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) is available online Elsevier at http://doi.org/10.1016/j.ijengsci.2020.103365 - please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: Rayleigh waves, Micro-structured elastic medium, Mechanical metamaterial, Gyroscopic properties, Non-reciprocity, Energy flow
Subjects: Q Science > QC Physics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 04 Nov 2020 11:46
Last Modified: 21 Nov 2020 12:42
URI: https://eprints.keele.ac.uk/id/eprint/8862

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