## What is/are Isotropic Multilayered?

Isotropic Multilayered - The present method does not require calculations of the displacement solutions of each partial wave in anisotropic multilayered microstructures, but expands the displacement vector of each layer into a Legendre orthogonal polynomial series with the expansion coefficients to be calculated.^{[1]}This paper presents the general solutions of three-dimensional transversely isotropic multilayered media subjected to a vertical or horizontal rectangular dynamic load by utilizing the analytical layer-element method, and the solutions can be used for both time-harmonic loads and moving ones.

^{[2]}The results show great conformity with the reported work and simultaneously prove the ability of our approach for complex and generally anisotropic multilayered structure.

^{[3]}Here, we investigate numerically K2 for third- and fourth-order shear wave modes (SH2 and SH3) in arbitrarily anisotropic multilayered PZT-5H laminates with various orientations.

^{[4]}A transversely isotropic multilayered half-space is considered as a support of a massless circular rigid foundation undergoing forced vibrations.

^{[5]}A new semi-analytical method is developed for solving the coupled horizontal and rocking vibrations of a rigid circular disc on the surface of a transversely isotropic multilayered half-space with imperfect interfaces.

^{[6]}In this paper, we present a fundamental solution to the mixed boundary-value problem of vertical and torsional vibrations of a rigid circular disc embedded in a transversely isotropic multilayered half-space.

^{[7]}

## Transversely Isotropic Multilayered

This paper presents the general solutions of three-dimensional transversely isotropic multilayered media subjected to a vertical or horizontal rectangular dynamic load by utilizing the analytical layer-element method, and the solutions can be used for both time-harmonic loads and moving ones.^{[1]}A transversely isotropic multilayered half-space is considered as a support of a massless circular rigid foundation undergoing forced vibrations.

^{[2]}A new semi-analytical method is developed for solving the coupled horizontal and rocking vibrations of a rigid circular disc on the surface of a transversely isotropic multilayered half-space with imperfect interfaces.

^{[3]}In this paper, we present a fundamental solution to the mixed boundary-value problem of vertical and torsional vibrations of a rigid circular disc embedded in a transversely isotropic multilayered half-space.

^{[4]}

## isotropic multilayered half

A transversely isotropic multilayered half-space is considered as a support of a massless circular rigid foundation undergoing forced vibrations.^{[1]}A new semi-analytical method is developed for solving the coupled horizontal and rocking vibrations of a rigid circular disc on the surface of a transversely isotropic multilayered half-space with imperfect interfaces.

^{[2]}In this paper, we present a fundamental solution to the mixed boundary-value problem of vertical and torsional vibrations of a rigid circular disc embedded in a transversely isotropic multilayered half-space.

^{[3]}