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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 8 | Number 1 | Year 2014 | Article Id. IJMTT-V8P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V8P510

Reflection and Transmission of Elastic Waves at the Loosely Bonded Solid-Solid Interface


Neelam Kumari
Abstract

Reflection and transmission phenomenon of plane waves at a loosely bonded interface between linear isotropic elastic solid half space and fluid saturated incompressible porous solid half space is studied in the present study. Plane wave P or SV- wave incidents on the interface through linear isotropic elastic solid half space. The amplitude ratios of various reflected and transmitted waves to that of incident wave are obtained. These amplitude ratios have been computed numerically for a particular model for different values of bonding parameter. It is observed that these amplitude ratios depend on angle of incidence of the incident wave and material properties of medium and these are affected by the bonding parameter and fluid filled in the pores of fluid saturated incompressible porous half space. A special case is also obtained and discussed from the present study.

Keywords
Porous solid, reflection, transmission, longitudinal wave, transverse wave, amplitude ratios, empty porous solid.
References

[1] Bowen, R.M., Incompressible porous media models by use of the theory of mixtures, International Journal of Engineering Science, 18(9), 1129-1148, 1980.
[2] de Boer, R. and Ehlers, W., The development of the concept of effective stress, Acta Mechanica A 83, 77-92,1990.
[3] de Boer, R. and. Ehlers, W ,Uplift, friction and capillarity-three fundamental effects for liquid- saturated porous solids, Int. J, Solid Structures B, 26,43-57,1990.
[4] Fillunger, P.; Der Auftrieb in Talsperren. Osterr., Wochenschrift fur den offentl. Baudienst, 19, 532 - 556, 1913.
[5] de Boer, R. and Liu, Z., Plane waves in a semi-infinite fluid saturated porous medium, Transport in Porous Media, 16 (2), 147-173, 1994.
[6] de Boer, R. and Liu, Z. , Propagation of acceleration waves in incompressible liquid – saturated porous solid, Transport in porous Media (TIPM), 21, 163-173, 1995.
[7] Kumar, R. and Hundal, B.S., Wave propagation in a fluid saturated incompressible porous medium, Indian J. Pure and Applied Math.4, 51-65,2003.
[8] de Boer, and Didwania, A. K., Two phase flow and capillarity phenomenon in porous solid- A Continuum Thermomechanical Approach, Transport in Porous Media (TIPM), 56, 137-170, 2004.
[9] Tajuddin, M. and Hussaini, S.J., Reflection of plane waves at boundaries of a liquid filled poroelastic half-space, J. Applied Geophysics 58,59-86,2006.
[10] Kumar,R.,Miglani,A. and Kumar,S., Reflection and Transmission of plane waves between two different fluid saturated porous half spaces, Bull. Pol. Ac., Tech., 227-234, 59(2), 2011.
[11] Murty, G.S., Reflection, transmission and attenuation of elastic waves at a loosely bonded interface of two half spaces, Geophys. J.R. Astrom. Soc., 44, 389-404, 1976.
[12] Vashisth, A.K., and Gogna, M.L.,The effect of loose boundaries on wave propagation in a porous solid :reflection and refraction of seismic waves across a plane interface, international Journal of Solid Structure,30,2485-2499,1993.
[13] Kumar,R. and Singh,B., Reflection and transmission of elastic waves at a loosely bonded interface between an elastic and micropolar elastic solid, Indian Journal of Pure and Applied Mathematics,28,1133-1153,1997.
[14] de Boer, R., Ehlers, W. and Liu, Z., One dimensional transient wave propagation in fluid saturated incompressible porous media, Arch. App. Mech. 63, 59-72, 1993.

Citation :

Neelam Kumari, "Reflection and Transmission of Elastic Waves at the Loosely Bonded Solid-Solid Interface," International Journal of Mathematics Trends and Technology (IJMTT), vol. 8, no. 1, pp. 68-73, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V8P510

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