Thermoelastic waves in coated homogeneous anisotropic materials

Abstract

In this article the effect of anisotropy and temperature on the dispersive wave propagation in composite substrate has been investigated. The propagation of guided waves in coated homogeneous anisotropic thermoelastic media is of interest in electronics and related areas. In recent years, cladded fiber-reinforced composites are being developed for use as aerospace structures. This paper deals with the guided wave propagation in a cladded (or coated) thermoelastic homogeneous anisotropic medium in the context of linear generalized thermoelasticity. The cladding (coating) is assumed to be thin homogeneous isotropic layer, which is bonded to a transversely isotropic substrate with the axis of symmetry parallel to the layer. It is shown that the anisotropy of the substrate affects the dispersion behaviour in a manner that is substantially different than that in case of isotropic substrate. In addition, the effect of variation of temperature on the dispersion curves and attenuation coefficient of thermoelastic waves is also studied. The results in case of classical coupled thermoelasticity (CT) and uncoupled thermoelasticity (UCT) can be obtained as special cases from the present analysis by omitting thermal relaxation time and thermo mechanical coupling effects, respectively. Finally, the numerical solution of the model is obtained by computer simulations for a magnesium material half-space in different situations and the computed dispersion curves and attenuation coefficient profiles have been presented graphically in order to illustrate different phenomenon involved.