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Tytuł artykułu

Plane SH-wave response from elastic slab interposed between two different self-reinforced elastic solids

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Closed form expressions of reflection and transmission coefficients are obtained when a plane SH-wave becomes incident at a uniform elastic layer interposed between two different self-reinforced elastic solid half-spaces. It is found that the reflection and transmission coefficients are strongly influenced by the reinforcement parameters of the half-spaces. Numerical computations are performed for a specific model to study the effect of reinforcement parameters and angle of incidence of the incident wave on these coefficients. Numerical study reveals that both reflection and transmission coefficients are significantly influenced by the reinforcement parameters in the entire range of angle of incidence, except at normal and grazing incidence where the effect of reinforcement parameters is found minimum. Known results of some earlier workers are reduced from the present formulations.
Rocznik
Strony
787--801
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
autor
autor
  • Department of Mathematics, Kurukshetra University Kurukshetra-136 119, INDIA, sktomar@yahoo.com
Bibliografia
  • Belfield A.J., Rogers T.G. and Spencer A.J.M. (1983): Stress in elastic plates reinforced by fibers lying in concentric circles. - J. Mech. Phys. Solids, vol.31, No.1, pp.25-54.
  • Bullen K.E. and Bolt B.A. (1985): An Introduction to the Theory of Seismology. - London: Cambridge University Press.
  • Cerveny V. (1974): Reflection and transmission coefficients for transition layers. - Studia Geophys. Geodt., vol.17, pp.59-68.
  • 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.
  • Chattopadhyay A. and Choudhury S. (1990): Propagation, reflection and transmission of magnetoelastic shear waves in a self-reinforced medium. - Int. J. Eng. Sci., vol.28, No.6, pp.485-495.
  • Chattopadhyay A. and Choudhury S. (1995): Magnetoelastic shear waves in an infinite self-reinforced plate. - Int. J. Num. Anal. Methods in GeoMech., vol.19, pp.289-304.
  • Caviglia G. and Morro A. (2002): Wave reflection and transmission from anisotropic layers through Riccati equations. - Q. J. Mech. Appl. Math., vol.55, No.1, pp.93-107.
  • Chaudhary S., Tomar S.K. and Kaushik V.P. (2005): Transmission of plane SH-wave through a self-reinforced elastic layer sandwiched between two anisotropic inhomogeneous elastic solid half-spaces. - Int. J. Appl. Mech. Eng., vol.9, No.1, pp.131-146.
  • Chaudhary S., Kaushik V.P. and Tomar S.K. (2004): Reflection/Transmission of plane SH-wave through a selfreinforced elastic layer sandwiched between two homogeneous visco-elastic solid half-spaces. - Acta Geophysica Polonica, vol.52, No.2, pp.219-235.
  • Gupta R.N. (1962): Reflection of elastic waves from a transition layer. - Bull. Seism. Soc. Am., vol.56, pp.511-526.
  • Gupta R.N. (1966): Reflection of plane elastic waves from a transition layers with arbitrary variation of velocity and density. - Bull. Seism. Soc. Am., vol.56, pp.633-642.
  • 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.
  • Malhotra S., Chopra S.D. and Gogna M.L. (1983): Reflection and transmission of SH-waves in a laterally and vertically heterogeneous anisotropic stratum. - Acta Geophysica Polonica, vol.31, pp.267-280.
  • Sengupta P.R. and Nath S. (2001): Surface waves in fibre-reinforced anisotropic elastic media. - Sadhana, vol.26, No.4, pp.363-370.
  • Singh B.M., Singh S.J. and Chopra S.D. (1978): Reflection and refraction of SH-waves at the plane boundary between two laterally and vertically heterogeneous solids. - Acta Geophysica Polonica, vol.26, pp.209-216.
  • Singh V.P. (1977): SH-waves in multilayered laterally heterogeneous media. - Bull. Seism. Soc. Am., vol.67, pp.331-345.
  • Sinha S.B. (1964): Transmission of elastic waves through a homogeneous layer sandwiched in homogeneous media. - J. Phys. Earth., vol.12, pp.1-4.
  • Thapliyal V. (1974): Reflection of SH-waves from anisotropic transition layer. - Bull. Seism. Soc. Am., vol.64, 1979-1991.
  • Verma P.D.S. and Rana O.H. (1983): Rotation of a circular cylindrical tube reinforced by fibers lying along helices. - Mech. Materials, vol.2, pp.353-359.
  • Verma P.D.S. (1986): Magnetoelastic shear waves in self-reinforced bodies. - Int. J. Eng. Sci., vol.24, pp.1067-1073.
  • Verma P.D.S., Rana O.H. and Verma M. (1988): Magnetoelastic transverse surface waves in self-reinforced elastic bodies. - Indian J. Pure Appl. Math., vol.19, No.7, pp.713-716.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0023-0057
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