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Wave propagation in thermally conducting linear fibre-reinforced composite materials

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Abstract

The propagation of plane waves in a fibre-reinforced, anisotropic, generalized thermoelastic media is discussed. The governing equations in xy plane are solved to obtain a cubic equation in phase velocity. Three coupled waves, namely quasi-P, quasi-SV and quasi-thermal waves are shown to exist. The propagation of Rayleigh waves in stress free thermally insulated and transversely isotropic fibre-reinforced thermoelastic solid half-space is also investigated. The frequency equation is obtained for these waves. The velocities of the plane waves are shown graphically with the angle of propagation. The numerical results are also compared to those without thermal disturbances and anisotropy parameters.

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References

  1. Spencer, A.J.M.: Deformation of fibre-reinforced materials. Clarendon, Oxford (1941)

  2. Pipkin, A.C.: Finite deformations of ideal fiber-reinforced composites. In: Sendeckyj, G.P. (ed) Composites materials, 2. Academic, New York, pp 251–308 (1973)

  3. Rogers, T.G.: Finite deformations of strongly anisotropic materials. In: Hutton, J.F., Pearson, J.R.A. Walters, K. (eds) Theoretical rheology. Applied Science Publication, London, pp 141–168 (1975)

  4. Rogers, T.G.: Anisotropic elastic and plastic materials. In: Thoft-Christensen, P. (ed) Continuum mechanics aspects of geodynamics and rock fracture, Mechanics. Reidel, pp 177–200 (1975)

  5. Sengupta, P.R., Nath, S.: Surface waves in fibre-reinforced anisotropic elastic media, Sadhana. Proc Indian Acad Sci 26, 363–370 (2001)

    Google Scholar 

  6. Singh, B., Singh, S.J.: Reflection of plane waves at the free surface of a fibre-reinforced elastic half-space, Sadhana. Proc Indian Acad Sci 29, 249–257 (2004)

    Google Scholar 

  7. Lord, H.W., Shulman, Y.: A generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15, 299–309 (1967)

    Google Scholar 

  8. Dhaliwal, R.S., Sherief, H.H.: Generalized thermoelasticity for anisotropic media. Q Appl Math 33, 1–8 (1980)

    Google Scholar 

  9. Erdem, A.U.: Heat Conduction in fiber-reinforced rigid bodies,``10 Ulusal Ist Bilimi ve Tekmgi Kongrest (ULIBTK), 6–8 Eylul, Ankara (1995)

  10. Chadwick, P., Seet, L.T.C.: Wave propagation in transversely isotropic heat conducting elastic materials. Mathematica 17, 255–274 (1970)

    Google Scholar 

  11. Singh, H., Sharma, J.N.: Generalized thermoelastic waves in transversely isotropic media. J Acoust Soc Am 77, 1046–1053 (1985)

    Google Scholar 

  12. Singh, B.: Wave propagation in anisotropic generalized thermoelastic solid. Indian J Pure Appl Math 34, 1479–1485 (2003)

    Google Scholar 

  13. Chadwick, P.: In: Hill R., Sneddon I.N. (eds) Progress in solid mechanics, vol 1. North-Holland, Amsterdam (1960)

  14. Nayfeh, A., Nasser, S.N.: Thermoelastic waves in solids with thermal relaxation. Acta Mech 12, 53–69 (1971)

    Google Scholar 

  15. Chadwick, P., Windle, D.W.: Propagation of Rayleigh isothermal and insulated boundaries. Proceedings of the Royal Society of America 280, 47–71 (1964)

  16. Sharma, J.N., Singh, H.: Thermoelastic surface waves in a transversely isotropic half-space with thermal relaxation. Indian J Pure Appl Math 16, 1202–1219 (1985)

    Google Scholar 

  17. Singh, S.J.: Comments on ``Surface waves in fibre–reinforced anisotropic elastic media, Sadhana. Proc Indian Acad Sci 27, 1–3 (2002)

    Google Scholar 

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Correspondence to Baljeet Singh.

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Singh, B. Wave propagation in thermally conducting linear fibre-reinforced composite materials. Arch Appl Mech 75, 513–520 (2006). https://doi.org/10.1007/s00419-005-0438-x

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