Rayleigh waves at the boundary surface of modified couple stress generalized thermoelastic with mass diffusion

Abstract

In this problem, we have studied propagation of Rayleigh waves in an homogeneous isotropic modified couple stress generalized thermoelastic with mass diffusion solid half space in the context of Lord–Shulman (L-S), Green–Lindsay (G-L) theories of thermoelasticity. Secular equations are derived mathematically by using appropriate boundary conditions. The values of determinant of secular equation, Rayleigh wave velocity and attenuation coefficient with respect to angular velocity for different values of wave number and relaxation times in the absence and presence of mass diffusion, are computed numerically. The numerical simulated results are depicted graphically for copper material.

Keywords:

• Rayleigh waves
• modified couple stress theory
• thermoelastic diffusion
• Rayleigh wave velocity
• attenuation coefficient