Transient thermal stresses and displacements in a transversely isotropic, heat-generating circular cylinder

Abstract The transient thermal stress field in a traction-free, transversely isotropic, heat-generating circular cylinder is studied by means of a set of stress functions developed by Singh. The purpose of this paper is to present the results of theoretical analysis which consider the effects of the thermo-elastic anisotropies of the material on the thermal stress field in the transversely isotropic, circular cylinder due to an abrupt axial change in the internal heat-generation rate. A detailed qualitative picture of the thermal stress state for two values of the Biot number and various values of the ratio of the thermal conductivity coefficients in the axial and radial directions is given and it is demonstrated that the magnitude of the maximum thermal stress is significantly sensitive to the anisotropies of the thermal conductivity coefficient and the Young's modulus.