Further Remarks on Extra Roots of Rayleigh Equation and Somigliana Waves
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Abstract
The extra roots of the Rayleigh equation for an elastic
halfspace contribute to the solution only for large enough values of the
Poisson coefficient (a > 0.309). One of them corresponds to leaking modes
with the phase velocity less than the velocity of the longitudinal wave.
A similar wave with distinct dispersion may exists in the case where an
elastic halfspace is covered by a thin layer with lower velocities of elastic
waves. The thickness of a layer should be not too small in comparison
with the wave length.
halfspace contribute to the solution only for large enough values of the
Poisson coefficient (a > 0.309). One of them corresponds to leaking modes
with the phase velocity less than the velocity of the longitudinal wave.
A similar wave with distinct dispersion may exists in the case where an
elastic halfspace is covered by a thin layer with lower velocities of elastic
waves. The thickness of a layer should be not too small in comparison
with the wave length.
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How to Cite
1.
LEVSHIN AL, PANZA GF. Further Remarks on Extra Roots of Rayleigh Equation and Somigliana Waves. Ann. Geophys. [Internet]. 1970Nov.25 [cited 2021Oct.19];23(1):45-5. Available from: https://www.annalsofgeophysics.eu/index.php/annals/article/view/5142
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