Analytical wave solutions in thermoelastic media with temperature-dependent properties via IMETF method

Area of Science:

• Solid Mechanics
• Continuum Mechanics
• Mathematical Physics

Background:

• Generalized thermoelasticity models describe heat conduction and mechanical deformation.
• The Three-Phase-Lag (3PHL) model refines these descriptions by incorporating multiple time delays.
• Temperature dependence of material properties significantly influences thermoelastic behavior.

Purpose of the Study:

• To analytically investigate exact wave solutions within the 3PHL thermoelasticity model.
• To incorporate temperature-dependent material properties into the analysis.
• To explore diverse wave phenomena using an advanced analytical method.

Main Methods:

• Application of the Improved Modified Extended Tanh Function (IMETF) method.
• Derivation of exact analytical solutions for coupled thermal and mechanical fields.
• Analysis of temperature-sensitive material parameters' influence on wave propagation.

Main Results:

• The IMETF method yields diverse exact solutions, including hyperbolic, singular hyperbolic, exponential, Weierstrass elliptic, and bell-shaped solitary waves.
• Temperature-dependent material properties significantly modify thermoelastic wave dynamics.
• Detailed graphical visualizations illustrate the impact of temperature sensitivity on stress, displacement, and temperature fields.

Conclusions:

• The study provides deep theoretical insights into wave propagation in temperature-dependent thermoelastic media under the 3PHL model.
• The findings highlight critical aspects of wave interaction, dispersion, and attenuation.
• The research underscores the importance of considering temperature sensitivity in thermoelastic analyses.