Homotopy perturbation method on wave propagation in a transversely isotropic thermoelastic two-dimensional plate with gravity field

Abstract

In this article, we researched wave propagation in transversely isotropic thermoelastic two-dimensional plates with gravity field in the case of Green Lindsay (GL) model of generalized thermoelasticity. The technique of homotopy perturbation is applied to get the approximate solution of thermoelastic with boundary condition. Numerical results for the displacement distribution and temperature are represented graphically. The results obtained indicate the impact of the new parameters on the phenomenon.

Keywords:

• Generalized thermoelasticity
• gravity field
• homotopy perturbation method
• transversely isotropic