Investigation of Thermoelastic behavior in a Three-Dimensional Homogeneous Half-Space with Reference Temperature-Dependent Material Properties

This research investigates the thermoelastic behavior of a three-dimensional homogeneous half-space with temperature-dependent material properties. The study aims to address the limitations of previous analysis that primarily focused on materials with temperature-independent properties, which may not accurately represent real-world scenarios, particularly in high-temperature environments. By incorporating the Lord–Shulman model and employing analytical techniques such as normal mode analysis and eigenvalue approach, analytical solutions are derived for temperature, stress, strain, displacement, and thermal stresses. The effects of temperature-dependent modulus of elasticity and Poisson’s ratio on these physical quantities are explored. Numerical examples illustrate the variations of physical quantities under different material properties, highlighting the significant influences of temperature dependency and Poisson’s ratio on stress, strain, displacement, and thermal stresses. Additionally, three-dimensional distributions of physical quantities with respect to distance and time provide comprehensive insights into their spatiotemporal behavior. This research contributes to a deeper understanding of thermoelastic phenomena in materials with temperature-dependent properties.