Impact of internal heat source and rotation on a nonlocal thermoelastic solid with pores via the moore-gibson-thompson framework

Abstract

This study explores the combined effects of an internal heat source and rotation on a porous solid within the framework of nonlocal thermoelasticity as described by the Moore-Gibson-Thompson theory. By employing a non-dimensional approach, the governing equations were reformulated to highlight the underlying parameters and facilitate a more general analysis of the system. The resulting system of equations was subsequently solved using the normal mode method, yielding analytical expressions that describe the material's displacement, temperature, and stress components. These solutions were further analyzed numerically using MATLAB, and graphical representations were generated to illustrate the effects of internal heating and rotation on the thermoelastic behavior of the porous medium. The findings reveal significant interactions between thermal and mechanical fields, offering deep insights into the performance and stability of advanced materials under complex loading conditions. This work not only advances the theoretical understanding of nonlocal thermoelasticity in porous solids but also provides practical implications for the design and optimization of engineering systems exposed to similar environmental influences.