Link-beam model for dynamic buckle propagation in pipelines

A model for dynamic buckle propagation is proposed The cornerstone of the model is the equilibrium of a collapsing elastoplastic ring under constant pressure and concentrated forces. The pipeline is idealized as individually collapsing rings linked by a couple of longitudinal beams. The force interaction between the link-beams and the rings is described by closed form equations. This approach allows the longitudinal bending work to be calculated separately from the cross section work Approximations of the pipe kinetic energy and the energy dissipated through the medium during dynamic buckle propagation are proposed Predictions of the propagation pressure vs. the velocity of propagation for pipes in vacuum and water are within engineering agreement to experimental results. Therefore, a navel description of buckle propagation is developed, leading to an improved understanding of the problem.