The reflection of a symmetric Rayleigh-Lamb wave at the fixed or free edge of a plate

DOI10.1007/BF00041235zbMath0545.73017OpenAlexW2021356339MaRDI QIDQ797339

R. Douglas Gregory, Ian Gladwell

Publication date: 1983

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00041235

zbMATH Keywords

dynamical stress intensity factorsmethod of projectiondivision of energyplane strain, time-harmonic, symmetric Rayleigh-Lamb wavereflected wave fieldsemi-infinite plate of homogeneous isotropic, linearly elastic materialsingularities of the stress field

Mathematics Subject Classification ID

Plates (74K20) Stress concentrations, singularities in solid mechanics (74G70) Surface waves in solid mechanics (74J15)

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Cites Work

• Unnamed Item
• The cantilever beam under tension, bending or flexure at infinity
• The traction boundary value problem for the elastostatic semi-infinite strip; existence of solution, and completeness of the Papkovich-Fadle eigenfunctions
• Dynamic Saint-Venant region in a semi-infinite elastic strip
• Extensional Vibrations and Waves in a Circular Disk and a Semi-Infinite Plate
• The non-existence of standing modes in certain problems of linear elasticity
• On the Solutions of Plates, Strips, Rods, and Cylinders Subjected to Arbitrary Dynamic Edge Load

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