Evaluation of Wave Propagation in a Transversely Isotropic Monolayer with Finite Thickness by the Potential Functions Method

In this study, wave propagation in a transversely isotropic monolayer is discussed. The purpose of this paper is to find Green’s functions of wave motion to find the stresses and displacements resulting from the wave propagation of harmonic forces applied on the monolayer surface. Wave propagation equations in a transversely isotropic monolayer are quite complicated equations with partial derivatives, in which potential functions are utilized to divide the governing equations into two individual equations. Then, the resulting governing equations are transformed into simpler equations considering the boundary conditions by using Hankel and Fourier series transform in the direction of radial and tangential components, respectively. A comparison-oriented approach is presented to ensure the accuracy of the obtained numerical results. Numerical wave propagation results for transversely isotropic monolayer are investigated under different frequencies, loads, and materials. One of the important results from this study is that the transversely isotropic material Glass/Epoxy has the maximum Green’s functions of stress and displacement and also the ring load causes the maximum frequency angle of the wave motion for Green’s functions of stress and displacement.