Numerical Analysis of Thermoelastic Wave Behavior in a Micropolar Medium with Dual-Phase-Lag, Nonlocality, and Pre-Stress under Gravitational Influence

Abstract

his study investigates the transient wave propagation in a micropolar thermoelastic half-space
under the influence of gravity, initial stress, and nonlocal effects, within the framework of two-temperature
generalized thermoelasticity incorporating the dual-phase lag (DPL) model. The governing equations are for-
mulated considering a quiescent medium subjected to an inclined mechanical load and a gravitational field.
An analytical solution is derived using normal-mode analysis to obtain exact expressions for the thermome-
chanical field variables. Numerical simulations are performed for a magnesium crystal-like material to evaluate
the distributions of displacement, stress, and temperature. The results are presented graphically to illustrate
the influences of initial stress, non-locality, the two-temperature parameter, and the angle of loading inclina-
tion. Comparative analyses are also conducted to highlight the role of these factors on wave behavior, with
particular cases discussed as subsets of the generalized model.