Study of Wave Motion in an Anisotropic Fiber-Reinforced Thermoelastic Solid

Document Type: Research Paper

Authors

1 Department of Mathematics, Kurukshetra University

2 Department of Mathematics, Maharishi Markandeshwar University

Abstract

The present investigation deals with the propagation of waves in the layer of an anisotropic fibre reinforced thermoelastic solid. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitude of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for Cobalt material and the dispersion curves, amplitude of displacements and temperature distribution for symmetric and skew-symmetric wave modes to examine the effect of anisotropy. Some particular cases are also deduced.

Keywords

 [1] Belfield A.J., Rogers T.G., Spencer A.J.M, 1983, Stress in elastic plates reinforced by fibers lying in concentric circles, Journal of the Mechanics and Physics of Solids 31: 25-54.

[2] Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids 15: 299-306.

[3] Acharya D.P., Roy I., 2008, Propagation of plane waves and their reflection at the free/rigid boundary of a fiber-reinforced magnetoelstic semispace, International Journal of Applied Mathematics and Mechanics 4(4): 39-58.

[4] Sengupta P.R., Nath S, 2001, Surface waves in fibre-reinforced anisotropic elastic half-space, Sadhana 29: 249-257.

[5] Singh B., 2006, Wave propagation in thermally conducting linear fiber-reinforced composite materials, Archive of Applied Mechanics 75: 513-520.

[6] Spencer A.J.M, 1972, Deformation of Fibre-Reinforced Materials, Oxford University Press, London.

[7] Kolsky, H., 1953, Stress Waves in Solids, Clarendon Press, Oxford (Reprinted: 1963, Dover, New York).

[8] Liu X., Hu G., 2004, Inclusion problem of microstretch continuum, International Journal of Engineering Science 42: 849-860.