Stress distribution in orthotropic shells of revolution with allowance for nonlinear factors

Basic relations and resolvent equations of a theory of orthotropic shells of revolution are presented with allowance for both geometric and physical nonlinearity. The approach to solve nonlinear problems is based on the methods of successive approximation and finite differences. A numerical study is made of the stress state of a spherical glass-plastic segment subjected to internal pressure. Solutions of problems are presented for linear and nonlinear (with allowance for one or two nonlinearities) formulations. The results obtained are analyzed.Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 18, pp. 76–78, 1987.