The effect of laser pulse on nonlinear thermoelasticity using an advanced analytical method

Area of Science:

• Solid Mechanics
• Thermodynamics
• Wave Propagation

Background:

• Thermoelasticity describes coupled thermal and mechanical responses in materials.
• Green-Naghdi type II theory models heat transfer without violating causality.
• Understanding wave propagation is crucial for material design and performance analysis.

Purpose of the Study:

• To derive exact wave solutions for Green-Naghdi type II thermoelasticity under laser pulse interaction.
• To investigate the influence of temperature-dependent material properties on thermoelastic wave behavior.
• To analyze the effects of laser pulse parameters on stress and thermal distributions.

Main Methods:

• Utilized the Modified Extended Direct Algebraic (MEDA) method for analytical solutions.
• Derived closed-form solutions for governing thermo-mechanical equations.
• Employed graphical representations and parametric investigations to analyze results.

Main Results:

• Obtained exact closed-form wave solutions incorporating arbitrary constants for diverse physical scenarios.
• Demonstrated significant influence of laser pulse interactions and temperature-sensitive properties on wave propagation.
• Quantified the impact of laser parameters (intensity, duration) and material properties on stress and temperature fields.

Conclusions:

• The MEDA method is effective for generating comprehensive thermoelastic wave solutions.
• Laser pulses and temperature-dependent material properties critically alter thermoelastic wave dynamics.
• The study provides a deeper understanding of wave behavior in advanced materials under thermal loading.