Thermoelastic waves in a waveguide

Abstract

The propagation of thermoelastic waves in a waveguide occupying the Cartesian space x 1 ϵ [0, L], x 2 ϵ [− H, + H], x 3 ϵ [− ∞, + ∞] is discussed. The analysis is based on the generalized theory proposed by Lord and Shulman. The solution of the problem is expressed in terms of the Lamé's scalar and vector potentials and the frequency equations are derived. For the special case of very short waves numerical results for the wave motion characteristics are presented and the role of the various parameters entering into the problem is extensively discussed.