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Elastic wave propagation in anisotropic media is of great interest in various branches of engineering and applied sciences. In this study, an anisotropic wave propagation behavior in isotropic material with orthogonal surface perturbation is presented. The conventional method of estimating dispersion equations for isotropic material is to apply Helmholtz decomposition on the potential functions for Rayleigh-Lamb wave and Shear Horizontal (SH) waves. However, the presence of isotropic material with orthogonal surface perturbations in two coordinate directions, which is known as doubly corrugated wave guide, can significantly affect the wave propagation behavior. This is because of the direction dependency of the wave propagation in the doubly corrugated structure, and hence, the Helmholtz decomposition of the potential functions cannot be applied to derive the dispersion equations. To validate the direction dependency of the wave propagation in isotropic material with doubly corrugated geometry, a time domain simulation is performed by the Finite Element Method using a tone burst signal to excite the wave guide. A similar baseline time domain study is also performed for a flat wave guide using the same material property without corrugation in any directions. The displacements of the particles of these two studies are compared at multiple time steps and analyzed for the direction dependency of wave propagation. The preliminary results show that the wave propagation in doubly corrugated structure is highly dependent on the corrugation parameters.
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