Elastic waves in a pre-stressed layered media

This study explores the propagation of S-waves in a layered medium characterized by anisotropy, non-homogeneity, incompressibility, pre-existing stress, and couple stress effects. The frequency equation that determines the phase velocity of shear waves, incorporating linear inhomogeneities, has been derived. Using numerical computations in MATLAB, the effects of varying initial stress, density, anisotropy, rigidity, and couple stress parameters on wave propagation are analysed. The findings are presented graphically, providing insights into how these factors influence phase velocity and improving our understanding of wave behaviour in complex media. These findings are not only instrumental in advancing fundamental understanding but also hold practical significance across diverse applications. For instance, in geotechnical engineering, this knowledge can inform the design of robust infrastructure capable of withstanding seismic events. In material science and manufacturing, they facilitate the development of resilient materials and structures.