Abstract
In this paper, a problem of thermoelastic interactions in a homogenous isotropic thermoelastic infinite medium with a cylindrical cavity. The bounding surface of the cavity is thermally shocked and connected to a rigid body to prevent any deformation. The governing equations are taken in the context of generalized thermoelasticity with fractional order strain theory. The analytical solutions with the direct approach in the Laplace transform domain have been obtained. The numerical results for the temperatures increment, the strain, the displacement, and the stress are represented graphically with the various value of the fractional-order parameter to stand on its effect on all the studied state functions. The fractional-order parameter has significant effects on the strain, the displacement, and the stress distribution, while its effect on the temperature distribution is minimal. (C) 2020 The Authors. Published by IASE.