Model of wave propagation in single-layer homogenous anisotropic media

The purpose of this study is to verify the numerical simulation of the finite difference method of the wave propagation in single-layer homogenous anisotropic media and materials with variations in the anisotropy parameters. In this way, the effects of a type of anisotropy, specifically transverse isotropy (system with elastic hexagonal or polar symmetry) can be evaluated in the propagation of waves in elastic media by ultrasonic inspection. The algorithm for the construction of the model applies the finite difference method and was created in FORTRAN language. The evaluated approach is in two-dimensional space. In the simulations with the single-layer homogenous anisotropic model, snapshots of the displacement components were generated in the x and z directions, on which observations were made regarding the effects of the anisotropy parameters on wavefront behavior. The results are in attachment for wide dissemination. This model aims to expose the behavior of wave fronts in relation to variations in anisotropy parameters. The models are formed by a half-plane xz with 2500 x 2500 points. The time frame adopted for this case was 6.5s for each situations. This led to 15 different parameter variations (see data in attachment). The elements present the snapshots of these situations in the single-layer homogenous anisotropic model with horizontal and vertical components of the displacement field, where the source is located at the center of the model. With the images of the displacement field, it is possible to evaluate the profile of the propagated P and S wave fronts for each situation.