ANALYSIS OF ELASTIC-PLASTIC SHELLS OF REVOLUTION CONTAINING DISCONTINUITIES

The common junction of three dissimilar general shells of revolution is analyzed. Axisymmetric loading may be in the form of surface forces, concentrated forces and moments at the junction, and arbitrary thermal gradients. Basic differential equations available for elastic shells are extended for application in the elastic-plastic regime. The von Mises-Hencky yield criterion, deformation theory of plasticity, and successive approximations are used to determine plastic strains. Postyield material behavior is arbitrary. Linearized finite-difference equations are solved directly using coefficient matrices that incorporate conditions of equilibrium and compatibility at the junction discontinuity. The solution to a sample problem is given.