Spectral properties of a 2D scalar wave equation with 1D periodic coefficients: Application to shear horizontal elastic waves

DOI10.1177/1081286512444750OpenAlexW1912782940MaRDI QIDQ5137415

Anton A. Kutsenko, Andrew N. Norris, Olivier Poncelet, Alexander L. Shuvalov

Publication date: 2 December 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5407

zbMATH Keywords

monodromy matrixelastic wavesFloquet spectrummultiplicative integral1D periodic medium

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

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• Existence and spectral properties of shear horizontal surface acoustic waves in vertically periodic half-spaces
• High-frequency homogenization for periodic media
• Eigencurves for Two-Parameter Sturm-Liouville Equations
• Floquet theory for partial differential equations

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