Abstract
The thermoelastic problem of an infinite functionally graded body with a cylindrical cavity whose surface suffers time-dependent thermal shock in the context of type II and type III of Green-Naghdi theories is studied by using finite element method in time domain directly. The thermal and mechanical properties of functionally graded solid under consideration are assumed to vary as the power of the radial coordinate. The results, including temperature, stresses, and displacements are presented graphically and the results are also analyzed. The effects of functionally graded parameter and the damping coefficient (C K ) in type III of Green–Naghdi theories are also studied.
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