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Analysis of wave motion in an anisotropic initially stressed fiber-reinforced thermoelastic medium

  • Received : 2010.08.22
  • Accepted : 2012.01.06
  • Published : 2013.01.25

Abstract

The present investigation deals with the analysis of wave motion in the layer of an anisotropic, initially stressed, fiber reinforced thermoelastic medium. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for Cobalt and the dispersion curves, amplitudes of displacements and temperature distribution for symmetric and skew-symmetric wave modes are presented to evince the effect of anisotropy. Some particular cases are also deduced.

Keywords

References

  1. Belfield, A.J., Rogers, T.G. and Spencer, A.J.M. (1983), "Stress in elastic plates reinforced by fibres lying in concentric circles", J. Mech. Phys. Solids, 31(1), 25-54. https://doi.org/10.1016/0022-5096(83)90018-2
  2. Biot, M.A. (1965), Mechanics of incremental deformation, John Wiley and Sons, Inc., New York.
  3. Dhaliwal, R.S. and Sherief, H.H. (1980), "Generalized thermoelasticity for anisotropic media", Q Appl. Math., 38, 1-8. https://doi.org/10.1090/qam/575828
  4. Kumar, R. and Gupta, R.R. (2010), "Analysis of wave motion in micropolar trasnversely isotropic thermoelastic half space without energy dissipation", Interact. Multiscale Mech., 3(2), 145-156. https://doi.org/10.12989/imm.2010.3.2.145
  5. Kolsky, H. (1963), Stress waves in solids, Clarendon Press, Oxford; Dover Press, New York.
  6. Liu, X. and Hu, G. (2004), "Inclusion problem of microstretch continuum", Int. J. Eng. Sci., 42(8-9), 849-860. https://doi.org/10.1016/j.ijengsci.2003.07.011
  7. Lord, H.W. and Shulman, Y. (1967), "A generalized dynamical theory of thermoelasticity", J. Mech. Phys. Solids, 15(5), 299-306. https://doi.org/10.1016/0022-5096(67)90024-5
  8. Montanaro, A. (1999), "On singular surface in isotropic linear thermoelasticity with initial stress", J. Acoust. Soc. Am., 106(3), 1586-1588. https://doi.org/10.1121/1.427154
  9. Richter, C.F. (1958), Elementary seismology, San Francisco, London: W.H. Freeman.
  10. Singh, B. (2006), "Wave propagation in thermally conducting linear fibre-reinforced composite materials", Arch. Appl. Mech., 75(8-9), 513-520. https://doi.org/10.1007/s00419-005-0438-x
  11. Slaughter, W.S. (2002), The linearized theory of elasticity, Birkhauser.
  12. Spencer, A.J.M. (1972), Deformation of fibre-reinforced materials, London: Oxford University Press.

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