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Abstrakty
A problem of reflection and transmission of an SH-wave through a self-reinforced elastic slab (layer) sandwiched between two transversely isotropic and inhomogeneous elastic solid half-spaces has been investigated. Formulae for reflection and refraction coefficients are obtained in a closed form and it is found that these coefficients are strongly influenced by the anisotropy and inhomogeneity of the half-spaces and on the reinforcement parameters of the sandwiched layer. These coefficients are computed for different values of heterogeneity parameters of the half-spaces and reinforcement parameters of the sandwiched layer. An effect of thickness of sandwiched layer on these coefficients is also noticed.
Rocznik
Tom
Strony
131--146
Opis fizyczny
Bibliogr. 28 poz., wykr.
Twórcy
autor
- Department of Mathematics, Kurukshetra University Kurukshetra - 136 119, INDIA
autor
- Department of Mathematics, Kurukshetra University Kurukshetra - 136 119, INDIA
autor
- Department of Mathematics, Panjab University Chandigarh - 160 014, INDIA
Bibliografia
- [1] Belfield A.J., Rogers T.G. and Spencer A.J.M. (1983): Stress in elastic plate reinforced by fibers lying in concentric circles. - J. Mech. Phys. Solids, vol.31, pp.25-54.
- [2] Buchwald V.T. (1959): Elastic waves in transversely isotropic media. - Proc. Roy. Soc. London, Ser.A, vol.253, pp.563-580.
- [3] Chattopadhyay A. and Venkateswarul R.L.K. (1998): Stresses produced in a fiber-reinforced half-space due to moving load. - Bull. Cal. Math. Soc., vol.90, pp.337-342.
- [4] Crampin S. (1970): The dispersion of surface waves in multilayered anisotropic media. - Geophys. J. Roy. Astr. Soc., vol.21, pp.384-402.
- [5] Crampin S. and Taylor D.B. (1971): The propagation of surface waves in anisotropic media. - Geophys. J. Roy. Astr. Soc., vol.25, pp.71-87.
- [6] Crampin S. and King D.W. (1977): Evidence for anisotropy in the upper mantle beneath Eurasia from the polarization of higher mode seismic surface waves. - Geophys. J. Roy. Astr. Soc., vol.49, pp.59-85.
- [7] Crampin S. (1981): A review of wave motion in anisotropic and cracked elastic media. - Wave Motion, vol.3, pp.343-391.
- [8] Chattopadhyay A. and Choudhary S. (1995): Magneto-elastic shear waves in an infinite self-reinforced plate. - Int. J. Numer. Anal. Methods Geomech., vol. 19, pp.289-304.
- [9] Daley P.F. and Hron F. (1977): Reflection and transmission coefficients for transversely isotropic media. - Bull. Seismol. Soc. Am., vol.67, pp.661-675.
- [10] Giacomo C. and Angelo M. (2002): Wave reflection and transmission from anisotropic layers through Riccati equations. - Q. J. Mech. Appl. Math., vol.55, pp.93-107.
- [11] Gogna M.L. and Chander S. (1985): Reflection and transmission of SH-wave at the interface between anisotropic inhomogeneous elastic and viscoelastic half space. - Acta Geophysica Polonica, vol.33, pp.357-375.
- [12] Henneke E.G. (1972): Reflection-refraction of a stress wave at a plane boundary between anisotropic media. - J. Acoust. Soc. Am., vol.51, pp.210-217.
- [13] Kaushik V.P. and Rana A. (1997): Transmission of SH-waves through a linear viscoelastic layer sandwiched between two anisotropic inhomogeneous elastic half-spaces. - Indian J. Pure. Appl. Math., vol.28, pp.851-863.
- [14] Keith C.M. and Crampin S. (1977a): Seismic body waves in anisotropic media: reflection and refraction at plane interface. - Geophys. J. Roy. Astr. Soc., vol.49, pp.181-208.
- [15] Keith C.M. and Crampin S. (1977b): Seismic body waves in anisotropic media: propagation through a layer. - Geophys. J. Roy. Astr. Soc., vol.49, pp.209-223.
- [16] Kar B.K. and Kalyani V.K. (1986): Reflection and refraction of SH-waves due to the presence of a sandwiched initially stressed sandy layer. - Geophys. Res. Bull., vol.25, pp. 117-124.
- [17] Kraut E. (1963): Advances in the theory of anisotropic elastic wave propagation. - Rev. Geophys, vol.l, pp.401-448.
- [18] Lay T. and Wallace T.C. (1995): Modern Global Seismology. - San Diego: Academic Press.
- [19] Love A.E.H. (1944): A Treatise on the Mathematical Theory of Elasticity. - Cambridge: Cambridge University Press.
- [20] Rokhlin S.I., Bolland T.K. and Adler L. (1986): Reflection and refraction of elastic waves on a plane interface between two generally anisotropic media. - J. Acoust. Soc. Am., vol.79, pp.906-918.
- [21] Shearer P.M. (1999): Introduction to Seismology. - Cambridge: Cambridge University Press.
- [22] Spencer A.J.M. (1972): Deformations of Fiber-reinforced Materials. - London: Oxford University Press.
- [23] Synge J.E. (1957): Elastic waves in anisotropic medium. - J. Math. Phys., vol.35, pp.323-335.
- [24] Saini S.L. and Singh S.J. (1977): Effect of anisotropy on the reflection of SH-waves at an interface. - Geophys. Res. Bull., vol.15, pp.67-73.
- [25] Saini S.L. (1979): Reflection of SH-waves from a multilayered anisotropic crust. - Bull. Indian Society of Earthquake Technology (ISET), vol. 16, pp.43-62.
- [26] Sinha S.B. (1964): Transmission of elastic waves through a homogeneous layer sandwiched in homogeneous media. - J. Phys. Earth, vol. 12, pp. 1-4.
- [27] Thapliyal V. (1974): Reflection of SH-wave from anisotropic transition layer. - Bull. Seismol. Soc. Am., vol.64, pp.1979-1991.
- [28] Udias A. (1999): Principles of Seismology. - Cambridge: Cambridge University Press.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BPZ2-0007-0009