Scattering and Backscattering Study of Mechanical Plane Wave in Composite Materials Plates (Earth model 1066B and LiNbO3)

Document Type : Research Paper

Authors

1 Department of Mathematics and Computing, IIT(ISM) Dhanbad, 826004, India

2 Department of Mathematics, M S Ramaiah University of Applied Sciences, Bengaluru-560058, India

3 Department of Mathematics, School of Advanced Science, VIT, Vellore-632014, India

4 Lecturer of Economics and Statistics, IFIM Business School, Bengaluru-560100, India

Abstract

Reflection and refraction phenomenon pattern of elastic plane wave at the interface between anisotropic monoclinic elastic half-space and isotropic elastic half-spaces is studied. Closed-form expression for phase velocity is obtained. Reflection and transmission coefficients are obtained using the method of Cramer's rule in determinant form. Also, the energy ratios are calculated in terms of reflection and transmission coefficients. Numerical examples are considered to exhibit all the findings graphically. The energy conservation law is implemented at each angle of incidence to validate the numerical results, and it is found that energy ratios are in good agreement with the energy conservation law.

Keywords

Main Subjects

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