Construction of exact wave solutions for coupled thermoelasticity theory with temperature dependence using improved modified extended tanh-function method
Mohamed F. Ismail, Hamdy M. Ahmed, Wafaa B. Rabie
Abstract
Abstract This paper presents a comprehensive study of exact wave solutions within the framework of coupled theory (CT) thermoelasticity, incorporating temperature dependence. We employ tauthorhe method of improved modified extended tanh-function (IMETF) to derive analytical solutions for the governing equations that account for the interaction between thermal and mechanical fields in materials. The temperature-dependent characteristics of materials are considered, which significantly influence the thermoelastic behavior under various loading conditions. The proposed method enhances the conventional tanh-function approach by allowing for more complex wave structures, thereby we obtained of a broader range of exact solutions featuring distinct free parameters, involving hyperbolic,exponential, Jacobi elliptic, dark soliton, compice dark-singular soliton, rational, and polynomial solutions. The results reveal valuable insights into the propagation of waves in thermoelastic materials. In addition, some of the results for stress tensor components, displacement components, and temperature are shown as graphical visualizations.