The present paper is aimed at studying the effect of initial stress and the magnetic field on thermoelastic interactions in an isotropic, thermally and electrically conducting half-space whose surface is subjected to mechanical and thermal loads. The formulation is applied under the thermoelasticity theory with three-phase-lag, proposed by Choudhuri ( 2007 Choudhuri, S. K. R. (2007). On a thermoelastic three-phase-lag model. Journal of Thermal Stresses 30:231–238. doi:10.1080/01495730601130919 [Taylor & Francis Online], [Web of Science ®] , [Google Scholar] ). The normal mode analysis is used to obtain the expressions for the variables considered. Numerical and computations are performed for a specific material and the results obtained are represented graphically. Comparisons are made with the results predicted by different theories Lord–Shulman theory (L–S), the theory of thermoelasticity type III (G-N III) and the three-phase-lag model (3PHL) in the absence and presence of the initial stress and magnetic field.

The model of the equations of generalized thermoelasticity based on the Lord–Shulman theory with one relaxation time is used to study the photothermal waves in a semiconducting medium. The exact expressions for the displacement components, temperature, carrier density, and stress components are obtained using normal mode analysis. Numerically simulated results are obtained and presented graphically for silicon to depict the effect of time parameter on the different physical quantities.

Purpose: The aim of this work is to study porous thermo-elastic behavior in a half-space elastic micro-stretch media enveloped in an unbounded inviscid liquid with a magnetic field, utilizing three-phase lag model (3PHL) and Green–Naghdi theory of type III (G–N III). Methods: The analytical technique used to obtain the ordinary differential equations was normal mode analysis. The Gauthier composite element is employed in an implementation to start comparing the observations—magnetic field on thermo-micro-stretch elastic porous medium completely covered in the endless fluid of G–N III theory with those for the model of 3PHL. Results: The magnetic field has been observed to make a significant impact over all physical quantities. Also, comparisons have been made for four various frequency values which explained that the frequency has an important role on the physical quantities. Conclusion: Overall, the research on the magnetic field effect on thermo-micro-stretch porous media immersed in a liquid has several potential practical implications and engineering applications in various fields, such as biomedical, environmental, chemical, and energy engineering.

Objective: This study investigates the influence of the Thomson effect on the behavior of a diffusive magneto-thermoelastic medium with initial stress and the dual-phase-lag (DPL) model. Methods: The normal mode analysis is utilized for solving the problem. The copper material was chosen for numerical assessments. The results are presented graphically for various physical quantities. Results: A comparison is made between the DPL model and the Lord and Shulman (L-S) theory, both in the absence and presence of the Thomson effect parameter as well as at two different values for the phase lag of heat flux. Conclusions: The findings provide insights into the impact of the Thomson effect on the behavior of the magneto thermoelastic medium, highlighting the differences between the DPL model and the L-S theory in different scenarios. This type of work has many applications in rock mechanics, geophysics, and petroleum industries. This work may be helpful for those researchers who are working in material science, smart materials, and new material designers.