Asymptotic Solutions of Love Wave Propagation in a Covered Half-Space with Inhomogeneous Initial Stresses

Abstract

The dispersive behavior of Love waves in an elastic half-space substratecovered by an elastic layer under the effect of inhomogeneous initial stresses has beeninvestigated. Classical linearized theory of elastic waves in initially stressed bodies forsmall deformations is used and the well-known WKB high-frequency asymptotic technique is applied for the theoretical derivations. Numerical results on the action of theinfluence of the initial stresses on the wave propagation velocity for a geophysical exampleare presented and discussed

Keywords

• Love wave,dispersion,inhomogeneous initial stresses,WKB

References

1. Babich, V.M. and Buldyrev, V.S., (1991), Short-Wavelength Diffraction Theory Asymptotic Methods, Springer, Berlin.
2. Balogun, O. and Achenbach, J.D., (2013), Surface waves generated by a line load on a half-space with depth-dependent properties, Wave Motion, 50, pp. 10631072.
3. Cao, X., Jin, F. and Wang, Z., (2008), On dispersion relations of Rayleigh waves in a functionally graded piezoelectric material (FGPM) half-space, Acta Mechanica, 200, pp. 247261.
4. Cerveny, V., (2001), Seismic Ray Theory, Cambridge University Press, New York.
5. Chapman, C., (2004), Fundamentals of Seismic Wave Propagation, Cambridge University Press, Cam- bridge.
6. Jin, F., Wang, Z. and Kishimoto, K., (2005), Basic properties of Rayleigh surface wave propagation along curved surfaces, International Journal of Engineering Science, 43, pp. 250261.
7. Li, X.Y., Wang, Z.K. and Huang, S.H., (2004), Love waves in functionally graded piezoelectric mate- rials, International Journal of Solids and Structures, 41, pp. 73097328.
8. Liu, H., Yang, J.l. and Liu, K.X., (2007), Love Waves in Layered Graded Composite Structures with Imperfectly Bonded Interface, Chinese Journal of Aeronautics, 20, pp. 210-214.

9. Liu, J., Cao, X.S and Wang, Z.K., (2009), Love waves in a smart functionally graded piezoelectric composite structure, Acta Mechanica, 208, pp. 6380.
10. Qian, Z., Jin F., Wang Z., Lu T. and Hirose H., (2009), Transverse surface waves in a piezoelectric ma- terial carrying a gradient metal layer of Şnite thickness. International Journal of Engineering Science, 47, pp. 10491054.
11. Qian, Z., Jin, F., Lu, T., Kishimoto, K. and Hirose, H., (2010), Effect of initial stress on Love waves in a piezoelectric structure carrying a functionally graded material layer, Ultrasonics, 50, pp. 8490.
12. Zang, A. and Stephansson, O., (2010), Stress Field of the Earth’s Crust, Springer.