Earthquakes and Structures

  • 제9권2호
  • /
  • Pages.305-320
  • /
  • 2015
  • /
  • 2092-7614(pISSN)
  • /
  • 2092-7622(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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

  • 투고 : 2014.07.13
  • 심사 : 2014.11.15
  • 발행 : 2015.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  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. https://doi.org/10.12989/csm.2012.1.4.297
  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. https://doi.org/10.12989/eas.2013.4.1.001
  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. https://doi.org/10.12989/csm.2012.1.1.019
  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. https://doi.org/10.12989/eas.2013.4.4.383
  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. https://doi.org/10.12989/sem.2013.46.6.827
  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. https://doi.org/10.1016/S0022-5096(02)00026-1
  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. https://doi.org/10.12989/ose.2014.4.2.083

피인용 문헌

  1. Influence of microstructure, heterogeneity and internal friction on SH waves propagation in a viscoelastic layer overlying a couple stress substrate vol.57, pp.4, 2016, https://doi.org/10.12989/sem.2016.57.4.703
  2. Reflection and transmission coefficients of the SH0 mode in the adhesive structures with imperfect interface vol.70, 2016, https://doi.org/10.1016/j.ultras.2016.05.010
  3. On Propagation of Love waves in dry sandy medium sandwiched between fiber-reinforced layer and prestressed porous half-space vol.12, pp.6, 2015, https://doi.org/10.12989/eas.2017.12.6.619
  4. Response of anisotropic porous layered media with uncertain soil parameters to shear body-and Love-waves vol.14, pp.4, 2018, https://doi.org/10.12989/eas.2018.14.4.313
  5. Double bonded Cooper-Naghdi micro sandwich cylindrical shells with porous core and CNTRC face sheets: Wave propagation solution vol.24, pp.6, 2015, https://doi.org/10.12989/cac.2019.24.6.499