Effect of a moving thermal load in a modified couple stress medium with double porosity and hyperbolic two-temperature theory

In this study, a two-dimensional thermoelastic problem is investigated within the framework of Modified Couple Stress Theory (MCST) incorporating double porosity and governed by the Hyperbolic Two-Temperature (HTT) model under the influence of a moving thermal source. The governing equations are reformulated in non-dimensional form and potential function techniques are employed to simplify the analysis. By applying normal mode analysis, closed-form analytical expressions are derived for key physical fields including displacement components, stress distributions, equilibrated stress tensors and temperature profiles. Numerical computations are carried out using MATLAB and the effects of the HTT model and the moving thermal load on the thermoelastic response are illustrated through graphical representations. Several particular cases of interest are examined to validate and interpret the model’s behaviour under different physical conditions. The problem finds practical significance in areas such as microelectronics, civil engineering and biomedical devicedesign particularly in areas involving thermal shock.