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

Abstract This study presents a detailed analytical exploration of exact wave solutions under the Green-Naghdi type II (G-N II) thermoelastic theory, emphasizing the role of laser pulse interactions and temperature-sensitive material properties. By employing the Modified Extended Direct Algebraic (MEDA) method, the work derives precise closed-form solutions for the governing thermo-mechanical equations, elucidating the coupled thermal and elastic wave propagation in deformable solids. The central theme of the investigation revolves around how the presence of laser pulse phenomena and the variation of material parameters with temperature significantly influence the response of thermoelastic media. These factors are shown to be critical in dictating the behavior of stress and thermal distributions under varying mechanical and thermal loading conditions. The MEDA approach proves to be a powerful and adaptable mathematical tool, as it facilitates the construction of broad families of wave solutions, each containing arbitrary constants that allow for modeling a diverse array of physical scenarios. By incorporating these free parameters into the solution structures, the study greatly expands the set of exact solutions available, enabling a more comprehensive analysis of wave behavior under distinct environmental and loading circumstances. The derived solutions provide meaningful insights into how wave propagation is affected in thermoelastic systems, particularly in terms of variations in wave velocity, attenuation, and energy transport mechanisms when subject to laser-induced thermal excitation and non-constant material characteristics. In addition to the analytical development, the research supports its theoretical predictions through graphical depictions of various important physical quantities, including stress, displacement, and temperature profiles. A comprehensive parametric investigation is conducted to rigorously examine the influence of multiple key parameters, including laser pulse duration, material properties, and exposure time, in addition to pulse intensity. These visualizations clearly reveal the complex and dynamic interplay between thermal and mechanical influences, especially when external sources such as laser pulses are introduced. This study enhances the comprehension of thermoelastic wave propagation in modern materials exhibiting temperature-dependent behavior.