Dispersion of SH-Wave in a Heterogeneous Orthotropic Layer Sandwiched Between an Inhomogeneous Semi-Infinite Medium and a Heterogeneous Elastic Half-Space

Subject Areas : Mechanics of Solids

R.M Prasad ¹ , S Kundu ²

1 - Department of Mathematics, S. N. Sinha College, Tekari Magadh University, Bodh-Gaya, India
2 - Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, India

Received: 2021-07-15 Accepted : 2021-09-20 Published : 2021-12-30

Keywords:

References:

[1] Shearer P.M., 2009, Introduction to Seismology, Cambridge University Press, Cambridge.
[2] Biot M.A., 1965, Mechanics of Incremental Deformation, John Wiley and Sons, New York.
[3] Gubbins D., 1990, Seismology and Plate Tectonics, Cambridge University Press, Cambridge,New york.
[4] Ewing W.M., Jardetzky W.S., Press F., 1957, Elastic Wave in Layered Media, Mcgraw-Hill Book Company, New York.
[5] Son M.S., Kang Y.J., 2012, Shear wave propagation in a layered poroelastic structure, Wave Motion 49: 490-500.
[6] Kalyani V.K., Sinha A., Pallavika, Chakraborty S.K., Mahanti N.C., 2008, Finite difference modeling of seismic wave propagation in monoclinic media, Acta Geophysica 56(4): 1074-1089.
[7] Pal P.C., Mandal D., 2014, Generation of SH-type waves due to shearing stress discontinuity in a sandy layer overlying an isotropic and inhomogeneous elastic half-space, Acta Geophysica 62(1): 44-58.
[8] Chattopadhyay A., Gupta S., Sharma V.K., Kumari P., 2008, Propagation of SH-waves in an irregular monoclinic crustal layer, Archive of Applied Mechanics 78(12): 989-999.
[9] Chattopadhyay A., Gupta S., Singh A.K., Sahu S.A., 2010, Propagation of SH-waves in an irregular non homogeneous monoclinic crustal layer over a semi-infinite monoclinic medium, Applied Mathematical Sciences 4(44): 2157-2170.
[10] Ding G., Darvinski M., 1998, Scattering of SH-waves in multi-layered media with irregular interfaces, Earthquake Engineering and Structural Dynamics 25(12): 1391-1404.
[11] Kaur J., Tomar S.K., Kaushik V.P., 2005, Reflection and refraction of SH-waves at a corrugated interface between two laterally and vertically heterogeneous viscoelastic solid half-space, International Journal of Solids and Structures 42(13): 3621-3643.
[12] Campillo M., 2006, Modeling of SH-wave propagation in an irregularly layered medium application to seismic profiles near a dome, Geophysical Prospecting 35(3): 236-249.
[13] Chaudhary S, Kaushik V.P., Tomar S.K., 2004, Reflection/transmission of plane SH wave through a self-reinforced elastic layer between two half-spaces, Acta Geophys Polon 52(2): 219-235.
[14] Du J., Jin X., Wang J., Zhou Y., 2007, SH wave propagation in a cylindrically layered piezoelectric structure with initial stress, Acta Mechanica 191(1-2): 59-74.
[15] Weiskopf W.H., 1945, Stresses in Soils Under Foundations, Franklin Inst.
[16] Abd-Alla A.M., Abo-Dahab S.M., Al-Thamali T.A., 2013, Love waves in a non-homogeneous orthotropic magneto-elastic layer under initial stress overlying a semi-infinite medium, Journal of Computational Theoretical Nanosciece 10(1): 10-18.
[17] Singh B., Kumar R., 1998, Reflection and refraction of plane waves at an interface between micropolar elastic solid and viscoelastic solid, International Journal of Engineering Science 36(2): 119-135.
[18] Abd-Alla A.M., Abo-Dahab S.M., Hammadc H.A.H., 2011, Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field, Applied Mathematics and Modelling 35: 2981-3000.
[19] Vardoulakis I., 1984, Torsional surface waves in inhomogeneous elastic media, International Journal for Numerical and Analytical Methods in Geomechanics 8: 287-296.
[20] Tomar S.K., Kaur J., 2007, Reflection and transmission of SH-waves at a corrugated interface between anisotropic elastic and viscoelastic solid half-spaces, Journal of Seismology 3: 235-258.
[21] Chattopadhyay A., Michel V., 2006, A model for spherical SH wave propagation in self-reinforced linearly elastic media, Archive of Applied Mechanics 76: 113-124.
[22] Prasad R.M., Kundu S. 2017, Torsional surface wave dispersion in pre-stressed dry sandy layer over a gravitating anisotropic porous half-space, Zeitschrift für Angewandte Mathematik und Mechanik 97(5): 550-560.
[23] Whittaker E.T., Watson G.N., 1991, A Course of Modern Analysis, Cambridge University Press, Cambridge.