Exploration of exact wave solutions for the Lord-Shulman thermo-elasticity theory with temperature dependence using advanced techniques

This study sought to improve the comprehension of wave propagation in thermo-elastic materials according to Lord-Shulman (L-S) theory by developing precise wave solutions for the governing equations that take into consideration temperature-dependent material features. The research utilized the improved simple equation method (ISEM) to analyze the interrelated thermal and mechanical properties of these materials, allowing the creation of analytical solutions that exactly characterize intricate wave processes. The ISEM facilitates the development of various wave shapes. These solutions, defined by configurable free parameters, offer a flexible framework for examining diverse physical circumstances in thermo-elasticity. The work includes detailed graphical representations of crucial discoveries such as temperature distributions, stress tensors, and displacement which provide amazing visual insights into the complex interactions that occur within thermo-elastic systems.