Axisymmetric numerical solutions of a thin-walled pressurized torus of incompressible nonlinear elastic materials

Numerical solutions limited to the zero-order equilibrium equations of a thin-walled pressurized torus made of a homogeneous incompressible nonlinear elastic material are examined. The obtained solutions are based on the assumption that the ratio of the radius of the circle, which generates the torus to its overall radius is small. A computer program has been developed to find numerical solutions of the governing nonlinear equations of the problem, i.e., the pressure inside the torus, the corresponding principal stretches and the successive deformed shape of the torus during the inflation. Various types of nonlinear elastic materials have been investigated. The results are thoroughly discussed, and some of them compared against the results of others.