Nonlocal Thermoelastic Analysis of a Porous Solid Subjected to a Moving Internal Heat Source: A Comparative Study Using Coupled, Lord-Shulman, and Green-Lindsay Theories
DOI:
https://doi.org/10.65405/2ypscy25Abstract
This study presents a comparative thermoelastic analysis of a nonlocal porous solid subjected to a moving internal heat source. The mathematical model is developed based on three generalized thermoelastic theories: Coupled Dynamics, Lord-Shulman, and Green-Lindsay. Eringen's nonlocal elasticity theory is incorporated to account for small-scale effects. The governing equations of motion, heat conduction, and void distribution are derived and solved analytically using Helmholtz decomposition and normal mode technique. Numerical simulations are performed to examine the influence of the nonlocal parameter, thermal relaxation times, porosity, and heat source velocity on the distributions of displacement, temperature, volume fraction, and stresses. The results demonstrate that nonlocal effects and thermal relaxation times significantly modify the physical fields. The findings provide valuable insights for the design of micro-structured materials and sustainable infrastructure subjected to dynamic thermal loading.
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