Thermoelastic waves in a plate bordered with layers of inviscid liquid

The propagation of thermoelastic waves in a homogeneous isotropic, thermally conducting plate bordered with layers of inviscid liquid or half-space of inviscid liquid on both sides is investigated in the context of coupled thermoelasticity. Secular equations for the plate in closed form and isolated mathematical conditions for symmetric and antisymmetric wave modes in completely separate terms are derived. The results for coupled and uncoupled theories of thermoelasticity have been obtained as particular cases. The different regions of secular equations are obtained; and special cases, such as Lame modes, thin plate waves, and short wavelength waves, of the secular equations are also discussed. The secular equations for leaky Lamb waves are also obtained and deduced. Finally, the numerical solution is carried out for an aluminum-epoxy composite material plate bordered with water. The dispersion curves for symmetric and antisymmetric wave modes are presented in order to illustrate and compare the theoretical results. The theory and numerical computations are found to be in close agreement.