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The present study investigates the propagation of Love wave in a void layer resting over a sandy half space under the effect of gravitational force. The equations of motion have been gathered separately for different layers, and the boundary conditions have been introduced for two different layers at their interface. The mathematical analysis of the problem has been dealt with the help of Whittaker’s function by expanding it asymptotically up to linear terms. The study reveals that in such a situation there exist two different wave fronts for the two abovementioned layers: one is for the effects of gravity and sandy parameters, whereas other is for the effect of void parameter.
Wydawca
Czasopismo
Rocznik
Tom
Strony
269--274
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
- Department of Mathematics, SDET-Brainware Group of Institutions, Barasat, India
autor
- Department of Physics, Asansol Engineering College, Asansol, India
autor
- Department of Applied Mathematics, Indian School of Mines, Dhanbad, India
Bibliografia
- 1. Achenbach JD (1973) Wave propagation in elastic solids. North Holland, New York
- 2. Anderson DL (1962) Surface wave dispersion in layered anisotropic media. Ph.D. Thesis, California Institute of Technology, Pasadena
- 3. Biot MA (1955) Theory of elasticity and consolidation for a porous anisotropic solid. J Appl Phys 26(2):182–185. doi:10.1063/1.1721956CrossRef
- 4. Biot MA (1962) Mechanics of deformation and acoustic propagation in porous media. J Appl Phys 33(4):1482–1498. doi:10.1063/1.1728759
- 5. Biot MA (1965) Mechanics of incremental deformations. Wiley, New York
- 6. Chapman CH (2004) Fundamentals of seismic wave propagation. Cambridge University Press, Cambridge
- 7. Cowin SC (1985) The viscoelastic behavior of linear elastic materials with voids. J Elast 15(2):185–191. doi:10.1007/BF00041992
- 8. Cowin SC, Nunziato JW (1983) Linear elastic materials with voids. J Elast 13(2):125–147. doi:10.1007/BF00041230
- 9. Dey S, Chandra A (1983) Surface waves in a dry sandy medium under gravity. Acta Geophys Pol 31(4):395–404
- 10. Dey S, Gupta S (1987) Longitudinal and shear waves in an elastic medium with void pores. Proc Indian Natl Sci Acad A 53(4):554–563
- 11. Dey S, Gupta S, Gupta AK (2004) Propagation of Love waves in an elastic layer with void pores. Sadhana 29(4):355–363. doi:10.1007/BF02703687
- 12. Ewing WM, Jardetzky WS, Press F (1957) Elastic waves in layered media. McGraw-Hill Book Co, New York
- 13. Ghorai AP, Samal SK, Mahanti NC (2010) Love waves in a fluid-saturated porous layer under a rigid boundary and lying over an elastic half-space under gravity. Appl Math Model 34(7):1873–1883. doi:10.1016/j.apm.2009.10.004
- 14. Kundu S, Manna S, Gupta S (2014) Love wave dispersion in pre-stressed homogenous medium over a porous half-space with irregular boundary surface. Int J Solids Struct 51(21–22):3689–3697. doi:10.1016/j.ijsolstr.2014.07.002
- 15. Love AEH (1911) Some problems of geodynamics. Cambridge University Press, London
Typ dokumentu
Bibliografia
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