Analytical Solutions of Generalized Thermoelastic Interactions in a Semi-Infinite Medium

In this study, we aim to compare the optimal homotopy analysis solution with the exact solution of thermoelastic interactions problem in isotropic media. The thermoelastic interactions in a semi-infinite medium in the context of the theory of generalized thermoelasticity with one relaxation time (Lord and Shulman's theory) is considered. The mathematical model solved by analytical method and optimal homotopy analysis method (OHAM). In addition, the convergence of the obtained HAM solution is discussed explicitly. Numerical results for the temperature distribution, displacement and thermal stress represented graphically. The accuracy of the OHAM validated by comparing between the analytical and exact solutions for the field quantities.