Three-Dimensional Axisymmetric Elastic Stresses in Hollow Pressurized Torus with Varied Thickness

抄録

The three-dimensional elastic axisymmetric boundary value problem of the torus of a closed hollow circular cross section with varied thickness under uniform internal pressure is analyzed by the indirect fictitious-boundary integral method. The configuration parameters are the mean radius of the torus, the mean meridional radius of the hollow circular cross section, the thickness, and the eccentricity between the outer and the inner circles of the cross section. For uniform thickness, the applicability of Novozhilov's thin shell theory is investigated, and for varied thickness, the leveling of the stresses in the hollow torus with the eccentricity is examined.