Coupled thermoelastic effects of gravity and internal heat source in a medium with modified stress dynamics via moore-gibson-thompson theory

• Incorporating gravity and internal heat source enhances the accuracy of predicting material behavior under the combined influence of thermal, mechanical forces. • The interaction between the gravity, thermal effects, and mechanical stress offers valuable insights into wave propagation. • All physical quantities satisfy the boundary conditions. • All functions are continuous. • The values of all physical quantities converge to zero as the distance increases. This study uses the Moore-Gibson-Thompson (MGT) theory of modified coupled stress to examine the combined effects of gravity and an internal heat source on a thermoelastic medium. The model integrates gravity as a body force and an internal heat source to account for microscale stress interactions and finite-speed thermal wave propagation, factors often missing in standard models. The governing equations are solved using the normal mode approach, and MATLAB is used for analysis. Results are compared across different scenarios in both the MGT and Green-Naghdi III (GN III) frameworks, considering variations with and without gravity, internal heat sources, and couple stress parameter. These findings enhance predictive modeling for high-temperature applications, such as aerospace and geophysics, by offering insights into the durability and performance of thermoelastic materials in complex conditions.