M. K. Ghosh

TL;DR: In this paper, the authors investigated the effects of generalized thermoelastic displacements and stresses in a functionally graded spherically isotropic hollow sphere due to prescribed temperature.

TL;DR: In this paper, the authors derived the displacement, stress, and temperature of a spherically isotropic infinite elastic medium having a spherical cavity, in the context of the linear theory of generalized thermoelasticity with two relaxation time parameters (Green and Lindsay theory).

TL;DR: In this article, the authors investigated the thermodynamic properties of a functionally graded spherically isotropic hollow sphere in which the thermophysical properties are temperature dependent in the context of the linear theory of generalized thermoelasticity.

TL;DR: In this paper, a spherically isotropic infinite elastic medium having a spherical cavity was considered in the context of the linear theory of generalized thermoelasticity with two relaxation time parameters (Green and Lindsay theory).

Abstract: This paper deals with the determination of the thermo-elastic displacements and stresses in a multi-layered body set up in different layers of different thickness having different elastic properties due to the application of heat and a concentrated load in the uppermost surface of the medium. Each layer is assumed to be made of homogeneous and isotropic elastic material. The relevant displacement components for each layer are taken to be axisymmetric about a line, which is perpendicular to the plane surfaces of all layers. The stress function for each layer, therefore, satisfies a single equation in absence of any body forces. The equation is then solved by integral transform technique. Analytical expressions for thermo-elastic displacements and stresses in the underlying mass and the corresponding numerical codes are constructed for any number of layers. However, the numerical comparison is made for three and four layers.