Stress state of an elastic space with a toroidal-shaped cavity

Solutions are obtained for the stress state problem for an elastic space with an internal toroidal-shaped cavity that can be expanded in a trigonometric series in the angle in cylindrical coordinates. Displacements and stresses are specified on the boundary. An analytic solution of the problem is found using generalized analytic functions. Stresses and displacements of points in the elastic space are calculated.