Open AccessA Variational Formulation for Love Waves in a Layered Anelastic Solid
Author(s) -
Silvs Walt
Publication year - 1976
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1976.tb06904.x
Subject(s) - dissipative system , rayleigh wave , rayleigh quotient , phase velocity , moduli , love wave , mathematical analysis , classical mechanics , physics , mathematics , surface wave , wave propagation , longitudinal wave , mechanical wave , thermodynamics , optics , eigenvalues and eigenvectors , quantum mechanics
Summary A method is presented which allows the variational formulation for elastic surface waves to be extended to the case of dissipative media. With this formulation, correct to second order in the loss, Rayleigh's principle can be applied to perturbations of the Rayleigh quotient to yield group velocity without numerical differentiation. Other perturbations can be used to find the change in phase or group velocity due to changes in loss, density, or moduli.