Generalized Thermoelastic Diffusion Using the Eigenvalue Technique Due to Pulse Heat Flux

Abstract

In this study, the thermoelastic interaction problem in half-space is analyzed within the framework of generalized thermodiffusion theory. An exponentially decaying pulse boundary heat flux loads the surface. The governing equations of generalized thermodiffusion incorporating one relaxation time are formulated and transformed into the Laplace domain. Utilizing the eigenvalue approach, analytical solutions in the transformed space are derived. Numerical computations are performed to evaluate concentration, displacement, temperature, stress, and chemical potential, with the results illustrated graphically.