Load-Deformation Behavior of Shells of Revolution

A boundary value problem for the rates of stress, velocities, and rates of surface tractions that takes geometry changes into account is formulated for the study of quasi-static deformations of shells of revolution. Attention is directed to the use of rate equations in investigating buckling problems and to an integral relation in investigating the effect of geometry changes on load-deformation behavior. As illustrations of the theory, two simply-supported circular plates problems are considered. One is concerned with the classical buckling of a compressed plate and the other with determining the effect of geometry changes on the post-yield behavior of a plate composed of a rigid, perfectly plastic material obeying the Tresca yield condition.