Analytical Investigation of Thermoelastic Diffusion with Non-Local and Dual-Phase-Lag Effects

This study explores the mechanical behaviour of a thermoelastic diffusive half-space subjected to non-local and dual-phase-lag (DPL) effects. Analytical investigation is carried out using Laplace and Fourier transforms in the temporal and spatial domains respectively. To model real-world scenarios, ramp-type tangential forces are considered. The physical field variables such as displacement, stress, temperature variation and chemical potential are obtained in the transformed domain. These results are then converted into the physical domain through numerical inversion techniques, and the corresponding behaviours are illustrated graphically. Several special cases are also explored to understand limiting behaviours under specific conditions. The problem discussed in this paper finds real-life application in microelectronic device design, geomechanical modelling and biomedical heat and mass transfer analysis.