Browse > Article
http://dx.doi.org/10.12989/eas.2015.9.2.305

SH-wave propagation in a heterogeneous layer over an inhomogeneous isotropic elastic half-space  

Kakar, Rajneesh (Faculty of Engineering & Technology, GNA University)
Publication Information
Earthquakes and Structures / v.9, no.2, 2015 , pp. 305-320 More about this Journal
Abstract
The present paper is devoted to study SH-wave propagation in heterogeneous layer laying over an inhomogeneous isotropic elastic half-space. The dispersion relation for propagation of said waves is derived with Green's function method and Fourier transform. As a special case when the upper layer and lower half-space are homogeneous, our derived equation is in agreement with the general equation of Love wave. Numerically, it is observed that the velocity of SH-wave increases with the increase of inhomogeneity parameter.
Keywords
non-homogeneity; Fourier transformation; Green's function; Dirac-delta function; isotropic; SH-waves;
Citations & Related Records
Times Cited By KSCI : 6  (Citation Analysis)
연도 인용수 순위
1 Chattopadhyay, A., Gupta, S., Sharma, V.K. and Kumari, P. (2010), "Effect of point source and heterogeneity on the propagation of SH-waves", Int. J. Appl. Math. Mech., 6(9), 76-89.
2 Chattopadhyay, A., Gupta, S., Kumari, P. and Sharma, V.K. (2012), "Effect of point source and heterogeneity on the propagation of SH-waves in a viscoelastic layer over a viscoelastic half-space", Acta Geophysica, 60(1), 119-139.
3 Chen, J., Su, Z. and Cheng, Li (2012), "The medium coupling effect on propagation of guided waves in engineering structures and human bone phantoms", Coupled Syst. Mech., 1(4), 297-309.   DOI
4 Dirac, P. (1958), Principles of quantum mechanics (4th ed.), Oxford at the Clarendon Press, ISBN 978-0-19-852011-5.
5 Ewing, W.M., Jardetzky, W.S. and Press, F. (1957), Elastic waves in layered media, Mcgraw-Hill, New York.
6 Gubbins, D. (1990), Seismology and Plate Tectonics, Cambridge University Press, Cambridge.
7 Gupta, R.R. and Gupta, R.R. (2013), "Analysis of wave motion in an anisotropic initially stressed fiber reinforced thermoelastic medium", Earthq. Struct., 4(1), 1-10.   DOI
8 Jeffreys, H. (1970), The Earth, Cambridge University Press.
9 Jr Soares, D. (2102), "FEM-BEM iterative coupling procedures to analyze interacting wave propagation models: fluid-fluid, solid-solid and fluid-solid analyses", Coupled Syst. Mech., 1(1), 19-37.   DOI
10 Kakar, R. and Gupta, M. (2014), "Love waves in an intermediate heterogeneous layer lying in between homogeneous and inhomogeneous isotropic elastic half-spaces", Electro. J. Geotech. Eng., 19, 7165-7185.
11 Kakar, R. and Kakar, S. (2012), "Propagation of Love waves in non-homogeneous elastic media", J. Academia Industrial Res., 1(6), 61-67.
12 Kristel, C., Fajardo, M. and Papageorgiou, A.S. (2013), "Wave propagation in unbounded elastic domains using the spectral element method: formulation", Earthq. Struct., 4(1), 383-411.   DOI
13 Love, A.E.H. (1911), Some Problems of Geo-Dynamics, London, UK, Cambridge University Press.
14 Selvamani, R. and Ponnusamy, P. (2013), "Wave propagation in a generalized thermo elastic circular plate immersed in fluid", Struct. Eng. Mech., 46(6), 827-842.   DOI
15 Stakgold, I. (1979), Green's Functions and Boundary Value Problems, John Wiley and Sons, New York.
16 Watanabe, K. and Payton, R.G. (2002), "Green's function for SH-waves in a cylindrically monoclinic material", J. Mech. Phys. Solid., 50(11), 2425-2439.   DOI   ScienceOn
17 Xu, G., Hamouda, A.M.S. and Khoo, B.C. (2014), "Wave propagation in a 3D fully nonlinear NWT based on MTF coupled with DZ method for the downstream boundary", Ocean Syst. Eng., 4(2), 083-097.   DOI