Dispersion of SH and Love Waves

Sergey V. Kuznetsov^1,

¹Institute for Problems in Mechanics, Prosp. Vernadskogo, Moscow, Russia

Cite this paper:
Sergey V. Kuznetsov. Dispersion of SH and Love Waves. International Journal of Physics. 2014; 2(5):170-180. doi: 10.12691/ijp-2-5-7

Abstract

A mathematical model for analyzing both Love waves and horizontally polarized shear surface waves (SH-waves) propagating in stratified media with monoclinic symmetry is worked out. Analytic and numerical solutions for SH and Love waves obtained by applying the Modified Transfer Matrix (MTM) method and a special complex formalism, are presented. Displacement fields, specific energy, phase, ray, and group velocities, and dispersion curves for SH and Love waves are compared and analyzed. Plates with different types of boundary conditions imposed on the outer surfaces are considered. Behavior of the leakage Love waves and anomalous SH-waves is discussed.

Keywords:
SH-wave shear wave surface wave Love wave dispersion laminated plate

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

Figures

References:

[1]	A.E.H. Love, Some Problems of Geodynamics. Cambridge University Press, London (1911).
[2]	E. Dieulesaint and D. Royer, Elastic Waves in Solids. Wiley, N.Y. (1980).
[3]	T.C.T. Ting and D.M. Barnett, Classifications of surface waves in anisotropic elastic materials. Wave Motion 26 (1997) 207-218.
[4]	S.V. Kuznetsov, Subsonic Lamb waves in anisotropic plates. Quart. Appl. Math. 60 (2002) 577-587.
[5]	S.V. Kuznetsov, Love waves in stratified monoclinic media. Quart. Appl. Math. 62 (2004) 749-766.
[6]	S.V. Kuznetsov, SH-waves in multilayered plates. Quart. Appl. Math. 64 (2006) 153-165.
[7]	S.V. Kuznetsov, Love waves in non-destructive diagnostics of layered composites, Acoustical Physics, 56 (2010) 877-892.
[8]	M.J.S. Lowe, Matrix techniques for modeling ultrasonic waves in multilayered media. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 42 (1995) 525-542.
[9]	D. Lévesque and L. Piché, A robust transfer matrix formulation for the ultrasonic response of multilayered absorbing media. J. Acoust. Soc. 92 (1992) 452-467.
[10]	M. Castaings and B. Hosten, Transfer matrix of multilayered absorbing and anisotropic media. Measurments and simulations of ultrasonic wave propagation through composite materials. J. Acoust. Soc. Am. 94 (1993) 1488-1495.
[11]	P. Michaels and V. Gottumukkula, Theory of viscoelastic Love waves and their potential application to near-surface sensing to permeability. In: Advances in near-surface seismology and ground-penetrating radar. Geophysical Developments Series. (2010) 263-278.
[12]	D. Restrepo, J.D. Gomez, and J.D. Jaramillo, SH wave number Green’s function for a layered, elastic half-space. Part I: Theory and dynamic canyon response by the discrete wave number boundary element method. Pure Appl. Geophys. (2014) 1-14.
[13]	M. Behm and R. Snieder, Love waves from local traffic noise interferometry. The Leading Edge. 32 (2013) 628-632.
[14]	J. Xia, X. Yin, and Y. Xu, Feasibility of determining Q of near-surface materials from Love waves. J. Appl. Geophysics. 95 (2013) 47-52.