Application of Homotopy Perturbation Method to study wave propagation in Transversely Isotropic Thermoelastic Three Dimensional Plate

Wave motion in an infinite transversely isotropic, thermoelastic plate in the context of conventional coupled thermoelasticity (CT), Lord-Shulman (LS) and Green-Lindsay (GL) theories of generalized thermoelasticity has been studied by using Homotopy perturbation method (HPM). The expressions for displacement components and temperature are derived. Finally, the numerical solution is carried out for transversely isotropic plate. The dispersion curves of displacements with thickness and time are presented graphically for coupled and generalized theories of thermoelasticity.