Thermo-mechanical interaction in two-temperature time-differential dual-phase-lagging materials under gravitational field influence

This study investigates the thermo-mechanical behavior of generalized thermoelastic mediums under the influence of gravitational fields, incorporating two-temperature effects through the Lord–Shulman and dual-phase-lag models. Focusing on a plane surface subjected to an arbitrary normal force and maintained at isothermal conditions, analytical expressions for conductive temperature, thermodynamic temperature, displacement components, and force stresses are derived using normal mode analysis. Numerical results, presented graphically, consider the application of thermal force. Comparative analyses between the dual-phase-lag and Lord-Shulman models are conducted, examining the impact of gravity and the two-temperature effect. Engineering applications of these findings can enhance the understanding of thermal management in materials subjected to varying gravitational environments, such as aerospace structures and thermal barrier coatings.