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This paper investigates the propagation of plane waves as well as their reflection and transmission from the plane interface which separates a viscous liquid half space and a magneto elastic solid semi infinite medium containing a distribution of void pores. From the analysis of the propagation of plane waves in a magneto elastic solid medium with voids, it is found that the longitudinal wave in a void solid medium is subject to dispersion of the general wave form. In this case, short wave and long wave approximations have been made. A 'cut of frequency', which depends upon the void parameter, exists below which one of the longitudinal waves cannot propagate at all. Amplitude and energy ratios of various reflected and transmitted waves are presented in each of the four cases when (i) a set of coupled longitudinal waves (ii) a similar set of coupled waves (iii) a transverse wave, propagating through the solid half space (iv) a longitudinal wave propagating through the viscous liquid half space, are made incident at the interface. Numerical computations are made for a specific model and results are presented graphically to highlight the modulations of these ratios due to the variation of incident angle of the incident wave. It is found that the amplitude and energy ratios of various reflected and transmitted waves are functions of angle of incidence and frequency. The effects of viscosity of the liquid, magnetic field as well as void nature of the solid medium on the amplitude and energy ratios have been analyzed from the graphical representations.
Rocznik
Tom
Strony
21--54
Opis fizyczny
Bibliogr. 26 poz., wykr.
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autor
autor
- 109/3, Kailash Roy Chowdhury Road Barrackpore, Kolkata - 120, INDIA, acharyadp_05@rediffmail.com
Bibliografia
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- Ezzat M.A. (1997): State space approach to generalized magneto thermo elasticity with two relaxation times in a medium of perfect conductivity. - Int. J. Eng. Sci., vol.35, No.8, pp.741-752.
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- Pal P.K., Acharya D.P. and Sengupta P.R. (1996): Effect of voids on the propagation of waves in an elastic layer, sadhana. - Vol.21, No.4, pp.477-485.
- Parfitt V.R. and Eringen A.C. (1969): Reflection of plane waves from a flat boundary of a micropolar elastic half space. - Acoust, Soc. Am., vol.45, pp.1258-1272.
- Rakshit M. and Mukhopadhyay B. (2005): An electro-magneto-thermo-visco-elastic problem in an infinite medium with a cylindrical hole. - International Journal of Engineering Science, vol.43, pp.925-936.
- Singh, Jaswant and Tomar S.K. (2007): Plane waves in thermo-elastic material with voids. - Mechanics of Materials, vol.39, pp.932-940.
- Singh B. (2001): Reflection and refraction of plane waves at a liquid / thermo microstretch elastic solid interface. - Int. J. Eng. Sci., vol.39, pp.583-598.
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- Tomar S.K. and Garg M. (2005): Reflection and transmission of waves from a plane interface between two microstretch solid half spaces. - International Journal of Engineering Science, vol.43, pp.139-169.
- Tomar S.K. and Kumar R. (1995): Reflection and refraction of longitudinal displacement wave at a liquid micropolar solid interface. - Internat. J. Eng. Sci., vol.33, No.10, pp.1507-1515.
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- Wilson A.J. (1963): The propagation of magneto thermo elastic plane waves. - Proc. Camb. Philos. Soc., vol.59, pp.483-488.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ2-0040-0020