Rayleigh waves guided by topography

DOI10.1098/rspa.2006.1779zbMath1129.74022OpenAlexW2157223349MaRDI QIDQ5438803

Duncan P. Williams, Samuel D. M. Adams, Richard V. Craster

Publication date: 8 February 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2006.1779

zbMATH Keywords

perturbation methodstrapped modesimpedance condition

Mathematics Subject Classification ID

Surface waves in solid mechanics (74J15)

Related Items (12)

New results on Rayleigh waves in incompressible elastic media subjected to gravity ⋮ Rayleigh waves in orthotropic fluid-saturated porous media ⋮ Rayleigh waves in an incompressible elastic half-space overlaid with a water layer under the effect of gravity ⋮ Three-dimensional edge waves in plates ⋮ On formulas for the Rayleigh wave velocity in pre-stressed compressible solids ⋮ Rayleigh waves with impedance boundary conditions in anisotropic solids ⋮ Trapped modes in elastic plates, ocean and quantum waveguides ⋮ Explicit secular equations of Rayleigh waves in a non-homogeneous orthotropic elastic medium under the influence of gravity ⋮ On formulas for the Rayleigh wave velocity in pre-strained elastic materials subject to an isotropic internal constraint ⋮ Rayleigh-type wave in a nonlocal elastic solid with voids ⋮ Explicit secular equations of Rayleigh waves in elastic media under the influence of gravity and initial stress ⋮ Existence and uniqueness of Rayleigh waves with normal impedance boundary conditions and formula for the wave velocity

Cites Work

• Unnamed Item
• Trapped modes in topographically varying elastic waveguides
• Trapped modes in bent elastic rods
• Localized vibration in elastic structures with slowly varying thickness
• Eigenvalue of a semi-infinite elastic strip
• A Numerical Method for Surface Waves in a Cylindrically Perturbed Elastic Half-Space. Part 1: Construction and Analysis
• MATHEMATICAL ANALYSIS OF ELASTIC SURFACE WAVES IN TOPOGRAPHIC WAVEGUIDES
• Trapped modes in curved elastic plates
• The propagation of elastic surface waves guided by ridges

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