Response of memory to the imperfect fluid–double porous non–local thermoelastic solid interface

This manuscript delves into the study of plane wave behavior in a half-space denoted as M1, representing a double porous nonlocal thermoelastic solid. This solid encompasses dual-phase-lag (DPL) effects with memory, interacting with an inviscid fluid half-space referred to as M2. The model is solved using the eigenmode method after converting the dimensionless governing equations into a two-dimensional format. Through this investigation, it has been discerned that the medium M1 exhibits five distinct types of waves: four longitudinal waves, one transverse wave, and one mechanical wave in M2. By imposing boundary conditions at the interface, the corresponding secular equations are derived. The components of various physical fields are then obtained in closed form. Numerical simulations are employed to visualize the impact of nonlocal, memory, and stiffness on the fundamental properties of waves. Graphical representations effectively convey the outcomes of these simulations, providing insights into how these parameters influence wave characteristics.