A Stationary Streamline Integration Algorithm for Elastic-Plastic Bending of an Axially Moving Beam

Abstract

The efficient numerical treatment of the advection problem for the plastic variables is an important issue concerning the development of arbitrary Lagrangian Eulerian finite element schemes for the simulation of steady-state continuous metal forming processes. Structural finite elements for bending dominant applications such as sheet metal roll forming usually employ a kind of streamline integration procedure to address these advection problems. A novel scheme is devised as a modification of the corrector phase of a standard return-mapping algorithm that accomplishes a streamline integration in space for stationary processes. The algorithm is developed for an elastic-plastic bending problem of an axially moving beam and its capabalities are demonstrated in comparison to an established time stepping alternative.