On the stress-strain state of toroidal shells of elliptical cross section formed from nonlinear elastic orthotropic materials

Problems of the statics of toroidal shells with elliptical cross sections, which are formed from nonlinear elastic orthotropic materials, were examined. Investigations were carried out in accordance with a procedure based on the method of successive approximations, the variational-difference method, and the method of Lagrangian multipliers. Calculations were performed by varying the ellipticities of the cross section of the torus and the radii of the circular axis of the torus over a broad range. Numerical and analytical results are presented in tables and graphs. Attention was focused on the accuracy of the computational results obtained, and agreement between the internal and external forces in the cross section was adopted as an integral criterion.