Transient thermoelastic analysis of pressurized thick spheres subjected to arbitrary boundary and initial conditions

Abstract

The current study considers the theoretical transient treatment of pressurized thick-walled hollow spheres while they are subjected to arbitrary boundary and initial conditions. Under generalized assumptions and using the basic thermoelasticity theory, the thermoelastic problem is solved. By utilizing the Eigen function method, generalized Bessel function and separation of variables, an attempt is made to analyze the transient temperature in the one-dimensional state. In this paper, the resultant relations of the present study are capable of being applied to any arbitrary boundary and initial conditions. Temperature, displacement and thermal stresses are plotted in some figures. In this study, the values are arbitrarily chosen.