Reflection and Transmission of Plane Waves in Nonlocal Generalized Thermoelastic Solid with Diffusion
Sangeeta Malik, Dinesh C. Gupta, Krishan Kumar, Raj Kumar Sharma, P. Jain
Abstract
Abstract This paper is concerned with the wave propagation at the interface of two distinct nonlocal generalized thermoelastic solids with diffusion. After formulating the mathematical problem, effect of thermoelastic media on wave propagation is demonstrated. Plane wave analysis shows the existence of three coupled waves, namely, P-wave, T-wave, MD-wave and one transverse wave SV-wave. The reflection and transmission phenomenon for the incidence of P-wave, T-wave, MD-wave and SV-wave at the interface of two distinct media have been investigated. The expressions for amplitude ratios of reflected and transmitted P-wave, T-wave, MD-wave, SV-wave are derived. MATLAB software is used to evaluate amplitude ratios of various reflected and transmitted waves. The effect of frequency and nonlocal parameter on amplitude ratios against angle of incidence of incident waves are shown graphically. It is observed that amplitude ratios of various reflected and transmitted waves are function of angle of incidence of incident waves and are greatly affected by nonlocal parameter of thermoelastic solid and frequency of incident waves. The results obtained from the graphs of this model are very useful for scientists working in geophysics and various fields of mechanics like seismic effects, mining, blasting, scanning acoustic microscopy, terminal ballistics, ultrashot lasers, thermoelastic properties of nanomaterials etc.