Plane Wave Propagation and Fundamental Solution for Nonlocal Homogenous Isotropic Thermoelastic Media with Diffusion
In the present problem, we study plane wave propagation and establish fundamental solution in the theory of nonlocal homogenous isotropic thermoelastic media with diffusion. We observe that there exists a set of three coupled waves namely longitudinal wave(P), thermal wave(T) and mass diffusion wave(MD) and one uncoupled transverse wave(SV) with different phase velocities. The effects of nonlocal parameter and diffusion on phase velocity, attenuation coefficient, penetration depth and specific loss have been studied numerically and presented graphically with respect to angular frequency. It is observed that characteristics of all the waves are influenced by the diffusion and nonlocal parameter. Fundamental solution of differential equations of motion in case of steady oscillations has been investigated and basic properties have also been discussed. Particular case of interest is also deduced from the present work and compared with the established result. The analysis of fundamental solution is very useful to investigate various problems of nonlocal thermoelastic solid with diffusion. The graphical analysis of current study is also very beneficial in order to investigate the different fields of geophysics, aerospace and electronics like seismology, manufacturing of aircrafts, volcanology, telecommunication etc.
