Dynamic response of an orthotropic hollow cylinder under thermal shock based on Green–Lindsay theory

Abstract

This research deals with the thermoelastic response of an orthotropic hollow cylinder under thermal shock, based on generalized thermoelasticity. In order to consider both Lord–Shulman and Green–Lindsay theories of generalized thermoelasticity, a unified formulation is considered for governing equations. The heat conduction equation and the equation of motion for the orthotropic cylinder are derived based on this unified formulation, and an analytical solution using Finite Hankel transformation is presented. A thermal shock in the form of heat flux is applied on the inner surface of the orthotropic cylinder, and then the temperature distribution and the history of stress components are plotted for the classical dynamic, Lord–Shulman and Green–Lindsay theories. The effects of considering different values for the relaxation times in the Green–Lindsay theory and considering orthotropic material properties for the cylinder are shown in the figures. The results are validated by comparing with the known data in the literature, which show good agreement.