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Love waves in the fiber-reinforced layer over a gravitating porous half-space

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Języki publikacji
EN
Abstrakty
EN
This paper aims to study the propagation of Love waves in fiber-reinforced layer lying over a gravitating anisotropic porous half-space. The closed form of dispersion equation has been derived for the Love waves in terms of Whittaker function and its derivative, which are further expanded asymptotically, retaining the terms up to second degree. The frequency equation shows that the transverse and longitudinal rigidity of reinforced material, as well as gravity and porosity of the porous halfspace have significant effect on the propagation of Love waves. The study reveals that the increment in width of reinforced layer decreases the phase velocity. For a particular width of the reinforced layer, it is also observed that the phase velocity increases with increasing porosity of the half-space, but it decreases with increasing gravity.
Słowa kluczowe
Czasopismo
Rocznik
Strony
1170--1183
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
  • Department of Applied Mathematics, Birla Institute of Technology, Mesra, India
autor
Bibliografia
  • 1. Achenbach, J.D. (1999), Wave Propagation in Elastic Solids, North-Holland Publishing Co., Amsterdam.
  • 2. Belfield, A.J., T.G. Rogers, and A.J.M. Spencer (1983), Stress in elastic plates reinforced by fibres lying in concentric circles, J. Mech. Phys. Solids 31,1, 25–54, DOI: 10.1016/0022-5096(83)90018-2.
  • 3. Biot, M.A. (1956a), Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range, J. Acoust. Soc. Am. 28,2, 168–178, DOI: 10.1121/1.1908239.
  • 4. Biot, M.A. (1956b), Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range, J. Acoust. Soc. Am. 28,2, 179–191, DOI: 10.1121/1.1908241.
  • 5. Biot, M.A. (1962a), Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys. 33,4, 1482–1498, DOI: 10.1063/1.1728759.
  • 6. Biot, M.A. (1962b), Generalized theory of acoustic propagation in porous dissipative media, J. Acoust. Soc. Am. 34,9A, 1254–1264, DOI: 10.1121/1.1918315.
  • 7. Biot, M.A. (1965), Mechanics of Incremental Deformations, John Wiley & Sons, New York.
  • 8. Chattopadhyay, A., and S. Choudhury (1990), Propagation, reflection and transmission of magnetoelastic shear waves in a self-reinforced medium, Int. J. Eng. Sci. 28,6, 485–495, DOI: 10.1016/0020-7225(90)90051-J.
  • 9. Chattopadhyay, A., S. Gupta, S.A. Sahu, and A.K. Singh (2012), Dispersion of horizontally polarized shear waves in an irregular non-homogeneous selfreinforced crustal layer over a semi-infinite self-reinforced medium, J. Vib. Control, DOI: 10.1177/1077546311430699.
  • 10. Dieulesaint, E., and D. Royer (1980), Elastic Waves in Solids: Applications to Signal Processing, John Wiley and Sons, Chichester, 511 pp.
  • 11. Ewing, W.M., W.S. Jardetzky, and F. Press (1957), Elastic Waves in Layered Media, McGraw Hill Book Co., New York.
  • 12. Ghorai, A.P., S.K. Samal, and N.C. Mahanti (2010), Love waves in a fluid-saturated porous layer under a rigid boundary and lying over an elastic half-space under gravity, Appl. Math. Modell. 34,7, 1873–1883, DOI: 10.1016/j.apm.2009.10.004.
  • 13. Green, W.A. (1991), Reflection and transmission phenomenon for transient stress waves in fiber composite laminates, Rev. Prog. QNED 10,1407-1414.
  • 14. Gupta, S., A. Chattopadhyay, and D.K. Majhi (2010), Effect of initial stress on propagation of Love waves in an anisotropic porous layer, J. Solid Mech. 2,1, 50–62.
  • 15. Love, A.E.H. (1911), Some Problems of Geodynamics, Cambridge Univ. Press, London.
  • 16. Pipkin, A.C., and T.G. Rogers (1971), Plane deformations of incompressible fiberreinforced materials, J. Appl. Mech. 38,3, 634–640, DOI: 10.1115/1.3408866.
  • 17. Samal, S.K., and R. Chattaraj (2011), Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space and uniform liquid layer, Acta Geophys. 59,3, 470–482, DOI: 10.2478/s11600-011-0002-8.
  • 18. Spencer, A.J.M. (1972), Deformations of Fiber-reinforced Materials, Oxford University Press, London.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d933cdc5-8735-4e33-b4ac-67ca2f1ceb26
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