Scattering of an obliquely incident Rayleigh wave in an elastic quarterspace
type: Item
instance of: scholarly article
title: Scattering of an obliquely incident Rayleigh wave in an elastic quarterspace
zbMATH Open document ID: 0572.73030
DOI: 10.1016/0165-2125(86)90004-1
author: A. K. Gautesen
published in: Wave Motion
publication date: 1986-01-01T00:00:00Z
review text: We study the three-dimensional problem of scattering of waves in a homogeneous, isotopic, linearly elastic quarter space. We obtain an equation for the Fourier transform of the normal displacements on the free surfaces. For oblique incidence of a Rayleigh surface wave, we numerically solve this equation. Reflection and transmission coefficients are plotted versus angle of incidence. For angles of incidence smaller than a critical angle, we observed that no energy is radiated into the solid by body waves. The farfield scattering patterns are also plotted.
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74J20
zbMATH DE Number: 3913794
zbMATH Keywords: three-dimensional problem
zbMATH Keywords: scattering of waves
zbMATH Keywords: homogeneous, isotopic, linearly elastic quarter space
zbMATH Keywords: equation for the Fourier transform
zbMATH Keywords: normal displacements
zbMATH Keywords: free surfaces
zbMATH Keywords: oblique incidence
zbMATH Keywords: Rayleigh surface wave
zbMATH Keywords: numerically
zbMATH Keywords: Reflection and transmission coefficients
zbMATH Keywords: versus angle of incidence
zbMATH Keywords: farfield scattering patterns
MaRDI profile type: Publication
full work available at URL: 0165-2125(86)90004-1
OpenAlex ID: W2053676557
cites work: Q3964084
cites work: Reflection and transmission of obliquely incident Rayleigh waves by a surface-breaking crack
cites work: The oblique reflection of a Rayleigh wave from a crack tip
cites work: Scattering of a Rayleigh Wave by an Elastic Quarter Space
cites work: Scattering of a plane longitudinal wave by an elastic quarter space
cites work: On matched asymptotic expansions for two dimensional elastodynamic diffraction by cracks
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description: scientific article; zbMATH DE number 3913794