Elastic-plastic collapse of 3-D damaged cylindrical shells subjected to uniform external pressure

Hoo Fatt’s model was modified to obtain analytical solutions of plastic collapse for 3-D damaged cylindrical shells. To assess the effective wall thickness of a damaged pipeline, we used ASME B31G and its burst test results with Hauch and Bai’s approach. The effective thickness represents the corroded region of a pipe; it helps to transfer the response of the undamaged area near the damaged area. We propose solutions for the buckling of a damaged shell subjected to uniform external pressure. In these solutions, we extended Timoshenko’s solutions for the elastic-plastic buckle of linear elastic in a perfectly plastic cylindrical shell. The plastic collapse of a damaged shell is based on a modification of the interaction formula of the fully plastic membrane forces and bending moments in the nonuniform cylinder.