Thermomechanical response of generalized thermoelastic diffusion with one relaxation time due to time harmonic sources

A general solution to the field equations of generalized thermodiffusion in an elastic solid has been obtained, in the transformed form, using the Fourier transform. Assuming the disturbances to be harmonically time dependent, the transformed solution is obtained in the frequency domain. As an application, concentrated and distributed sources have taken to illustrate the utility of the approach. The transformed solutions are inverted numerically, using a numerical inversion technique to invert the Fourier transform. The variations of concentration distribution, chemical potential distribution and effect of diffusion on the normal stress and temperature distribution have been depicted graphically for Lord and Shulman (L–S) and coupled thermoelastic (C-T) theories of thermoelasticity.