Seismic metasurface on an orthorhombic elastic half-space
Prikazchikov D. Sabirova R. Wootton P.T.
October-December 2023SAGE Publications Ltd
Science Progress
2023#106Issue 4
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.
asymptotic model , dispersion , orthorhombic , Rayleigh wave , seismic metasurface
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School of Computer Science and Mathematics, Keele University, Keele, United Kingdom
Department of Mathematical and Computer Modeling, Al-Farabi Kazakh National University, Almaty, Kazakhstan
School of Computer Science and Mathematics
Department of Mathematical and Computer Modeling
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