A Generalized Thermoelastic Problem of Functionally Graded Spherical Cavity

In the context of G–L theory, a generalized thermoelastic problem is considered for an infinite functionally graded and temperature-dependent isotropic spherical cavity. The surface of the sphere is subjected to (i) a ramp-type compression and (ii) maintain at a constant temperature. The Laplace transform for time variable is used on the basic equations and then solved by the potential function approach. The inversion of Laplace transform is carried out numerically by the Zakian method. Finally, numerical computations of the displacement and stress components as well as temperature distribution have been made and are presented graphically.