The high-frequency dispersion coefficient for the Rayleigh velocity in a vertically inhomogeneous anisotropic half-space (L)

For an arbitrary anisotropic half-space with continuous vertical variation of material properties, an explicit closed-form expression for the coefficient B of high-frequency dispersion of the Rayleigh velocity v(R)(omega) approximately v(R)(0)(1+B/omega) is derived. The result involves two matrices,...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2008-05, Vol.123 (5), p.2484-2487
Main Author: SHUVALOV, A. L
Format: Article
Language:English
Subjects:
Acoustics
Anisotropy
Computer Simulation
Elasticity
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Models, Theoretical
Physics
Porosity
Scattering, Radiation
Surface Properties
Ultrasonics, quantum acoustics, and physical effects of sound
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Summary:For an arbitrary anisotropic half-space with continuous vertical variation of material properties, an explicit closed-form expression for the coefficient B of high-frequency dispersion of the Rayleigh velocity v(R)(omega) approximately v(R)(0)(1+B/omega) is derived. The result involves two matrices, one consisting of the surface-traction derivatives in velocity and the other of its Wentzel-Kramers-Brillouin coefficients, which are contracted with an amplitude vector of the Rayleigh wave in the reference homogeneous half-space. The "ingredients" are routinely defined through the fundamental elasticity matrix and its first derivative, both taken at v=v(R)(0) and referred to the surface.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.2890743