Seismic metasurface on an orthorhombic elastic half-space

Prikazchikov, Danila; Sabirova, Roza; Wootton, Peter T

Abstract

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.

• Journal Article Type: Article
• Acceptance Date: Nov 20, 2023
• Online Publication Date: Nov 20, 2023
• Deposit Date: Nov 27, 2023
• Publicly Available Date: Nov 27, 2023
• Journal: Science Progress
• Print ISSN: 0036-8504
• Electronic ISSN: 2047-7163
• Publisher: SAGE Publications
• Peer Reviewed: Peer Reviewed
• Volume: 106
• Issue: 4
• DOI: https://doi.org/10.1177/00368504231206320
• Keywords: seismic metasurface, dispersion, Rayleigh wave, asymptotic model, orthorhombic