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An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space

✍ Scribed by I.V. Kamotskii; A.P. Kiselev

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
275 KB
Volume
73
Category
Article
ISSN
0021-8928

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✦ Synopsis

An approach based on investigating the energy functional is applied for the first time to the classical problem of Rayleigh waves in an anisotropic half-space with a free boundary. The main object of the investigation is an ordinary differential operator in a variable characterizing the depth. An investigation of the spectrum by variational methods enables a new proof to be given of the existence of a Rayleigh wave in a linear elastic half-space with arbitrary anisotropy, which does not rest on the Stroh formalism.

πŸ“œ SIMILAR VOLUMES

Scattering of elastic waves by a rectang
Scattering of elastic waves by a rectangular crack in an anisotropic half-space
✍ Anders BostrΓΆm; Tomas Grahn; A.Jonas Niklasson πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 444 KB

The scattering of elastic waves by a rectangular crack in a half-space of arbitrary anisotropy is considered. The application in mind is ultrasonic testing of thick-walled anisotropic components where the crack is close to a planar back surface. The orientation of the crack and the back surface may