In this paper, a comparison was made between the analytical and numerical solution of a two-dimensional problem
for a transversely isotropic generalized thermoelastic medium. The study is carried out in the context of generalized
thermoelasticity proposed by Green and Naghdi’s theory of type II. The problem has been solved analytically
using the normal mode method with the eigenvalue approach and numerically using a finite element method. The
accuracy of the finite element formulation was validated by comparing the analytical and numerical solutions for
the field quantities.