Effects of surface stresses and voids on Rayleigh waves in an elastic solid
type: Item
instance of: scholarly article
title: Effects of surface stresses and voids on Rayleigh waves in an elastic solid
zbMATH Open document ID: 0601.73026
DOI: 10.1016/0020-7225(87)90006-1
author: D. S. Chandrasekharaiah
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: Rayleigh waves propagating at the plane material boundary of an elastic half-space containing a distribution of voids (vacuous pores) are considered. It is found that the waves are generally dispersive and that the dispersion is caused by both the surface stresses exerted by the boundary and the voids inside. If the body is incompressible, voids have no influence on the motion. In the case of small frequency, the effect of the voids is just to modify the speed of propagation. If the frequency is small and surface stresses are due to a residual surface tension, there exists a critical wavelength at which waves propagate with the speed of pure shear waves and below which the motion is not possible. The critical wave length varies directly with the surface tension and the effect of the voids is to widen the range of wavelengths for which the waves exist.
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74J20
zbMATH DE Number: 3970182
zbMATH Keywords: phase velocity equation
zbMATH Keywords: small frequency waves
zbMATH Keywords: Rayleigh waves
zbMATH Keywords: plane material boundary
zbMATH Keywords: elastic half-space
zbMATH Keywords: distribution of voids
zbMATH Keywords: dispersion
zbMATH Keywords: surface stresses
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90006-1
OpenAlex ID: W2032466142
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description: scientific article; zbMATH DE number 3970182