Circular crested waves in thermoelastic plates bordered with viscous liquid

In this paper the propagation of thermoelastic waves in a homogeneous, transversely isotropic, thermally conducting elastic plate bordered with layers (or half-spaces) of a viscous liquid on both sides is investigated in the context of non classical theories of thermoelasticity. Complex secular equations for symmetric and antisymmetric wave motion of the circular plate, in completely separate terms, are derived. The regions of the secular equation, waves of short and long wavelength are also discussed. Finally, in order to illustrate the analytical results, the numerical solution is carried out for a transversely isotropic plate of cobalt material bordered with water by using the functional iteration method. The results are deduced and compared with the existing ones in relevant publications available in the literature at various stages of this work.