Thermal stresses computation under toroidal symmetry conditions

The present study deals with the elastic plastic boundary value problems statements in toroidal coordinates. The basic model relations of the temperature stresses theory are furnished in a toroidal coordinate system. The computation problem of the stress-strain state of a hollow elastic-plastic torus subjected to uneven radial heating is considered. Analytical solutions are obtained for the stress and displacement fields in the thermoelastic deformation and plastic flow domains within the framework of the generalized plane stress state hypothesis. The possibility of applying the solutions obtained for the stress-strain state of a torus of arbitrary sizes under conditions of an axisymmetric thermal action is discussed.