Wave propagation in thermally conducting linear fibre-reinforced composite materials

Abstract

The propagation of plane waves in a fibre-reinforced, anisotropic, generalized thermoelastic media is discussed. The governing equations in x-y 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.

Two-dimensional problem of a fibre-reinforced anisotropic thermoelastic medium. Comparison with the Green–Naghdi theory

“…The heat equation associated with this theory is hyperbolic and hence eliminates the paradox of infinite speeds of propagation inherent in both coupled and uncoupled theories of thermoelasticity. Singh [6] studied the wave propagation in thermally conducting linear fiberreinforced composite materials with one relaxation time. Verma [7] discussed the problem of magnetoelastic shear waves in self-reinforced bodies.…”

A Study of Generalized Thermoelastic Interaction in an Infinite Fibre-Reinforced Anisotropic Plate Containing a Circular Hole

“…In the context of the LS-theory, the field equations for linear equations governing thermoelastic interactions in a fiber-reinforced linearly thermoelastic anisotropic medium whose preferred direction is that of a unit vector a, in the absence of body forces and heat sources, are as follows [8]:…”

“…To study the effect of reinforcement on wave propagation, we use the following physical constants for generalized fibre-reinforced thermoelastic materials [8]:…”

“…Singh [8] studied the wave propagation in thermally conducting linear fibre-reinforced composite materials with one relaxation time.…”

Effect of Rotation and Initial Magnetic Field in Fibre-Reinforced Anisotropic Elastic Media

“…The propagation of plane waves in a fiber-reinforced media was discussed by Chattopadhyay et al [24]. The problem of wave propagation in thermally conducting linear fiberreinforced composite materials was discussed by Singh [25]. Recently, the effect of rotation on plane waves at the free surface of a fiber-reinforced thermoelastic half-space using the finite element method was studied by Othman and Abbas [26].…”