Thermoelastic Response of a Half-Space under Time-Harmonic Mechanical Loading in Moore-Gibson-Thompson Theory with Non-Local and Hyperbolic Two-Temperature Effects

Abstract

The present study investigates the influence of non-local and hyperbolic two-temperature (HTT) parameter on a Moore-Gibson-Thompson (MGT) thermoelastic model, focusing on the deformation behaviour under time-harmonic. The governing equations of the model are simplified to two dimensions and solved using dimensionless quantities and a potential function approach. By using the time-harmonic nature of the equations and applying Fourier transform, analytical expressions for the components of displacement, stress fields, conductive temperature and thermodynamic temperature are derived. To demonstrate the practical applicability of the model, uniformly distributed force (UDF) and linearly distributed force (LDF) are considered. The study graphically illustrates the effects of non-local parameters, angular frequency, and the HTT parameter on stresses, conductive temperature and thermodynamic temperature. These results provide valuable insights into how these factors influence the thermoelastic behaviour of materials under dynamic loading conditions. The findings are particularly relevant for researchers in geophysics, material sciences, and engineering, especially those working in the field related to material vibration and deformation. Some particular cases from this study have also been deduced.