Browsing by Author "Nigam, Akshya"

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    The study on S-wave propagation under non-homogeneous anisotropic incompressible initially stressed medium
    (Department of Mathematics, NITS, 2025) Nigam, Akshya
    In this paper, we investigate the propagation of S-waves in a non-homogeneous, anisotropic, incompressible medium subjected to initial stress. The study aims to understand how initial stresses and material anisotropy influence the behavior of shear waves under varying conditions of non-homogeneity. By developing a comprehensive mathematical model and conducting analytical and numerical analysis, we examine the intricate relationship between wave velocity, stress distribution, and material anisotropy. This research provides significant insights into the fundamental dynamics of wave propagation in complex media and has practical implications for geophysical explorations, seismic analysis, and materials science. The findings contribute to a deeper understanding of elastic wave behavior in stressed and anisotropic environments, enhancing predictive capabilities in related engineering and scientific applications. In chapters 2 and 3, we discuss about the Introduction, literature Review. In chapter 4, we describe the mathematical Formulation of the problem . In chapter 5, 6 and 7 Solution of the problem, praticular cases and numerical solution. In chapter 8, we concluded all the outcomes, and discussed the future work.