Nonlinear analysis of generalized thermoelastic interaction in unbounded thermoelastic media

Abstract The transient response of thermoelastic materials subjected to a time-decaying thermal field is presented in this article using a nonlinear analysis. The basic equations provided are based on a generalized thermoelastic model under changing thermal conductivity, which is incorporated into the formulations. This problem is solved using the finite-element techniques instead of the Kirchhoff transforms since solving non-linear equations is quite difficult. Laplace transformation and the eigenvalue approaches are used to solve the problems in the linear context of the Kirchhoff transforms. The study investigates and compares the impact of varying thermal conductivity both with and without employing Kirchhoff’s transform. The numerical outputs are graphically shown to display the displacement, temperature, and stress variations.