Large displacement analysis of elasto-plastic ring under external pressure

Abstract

A co-rotational finite element formulation elasto-plastic curved Euler beam element is presented for the large displacement analysis of elasto-plastic circular ring subjected to external fluid pressure The Euler-Bernoulli hypothesis and the initial curvature are properly considered for the kinematics of curved beam. The element internal nodal forces and the element external nodal forces corresponding to the uniform pressure are systematically derived by virtual work principle and consistent linearization of the fully geometrically nonlinear beam theory in element coordinates which are constructed at the current configuration of the corresponding beam element An incremental-iterative method based on the Newton-Raphson method combined with constant are length method is employed here for the solution of the nonlinear equilibrium equations Numerical examples are presented to investigate the limit and collapse pressure of the elasto-plastic circular ring with initial imperfection.