Numerical Modeling of Aluminum Extrusion Processes for Complex Hollow Pro-Files based on a Spatial Flow Formulation

The contribution presents a new finite element approach in which the common updated Lagrangian formulation is replaced by a spatial flow formulation applying a special arbitrary Lagrangian-Eulerian for-mulation (ALE). The description separates spatially the process in a die inside zone and in a profile zone. For the description of the inside zone, where the filling process occurs, a special Euler time independent mesh is applied. By this formulation the mesh has to be generated only once, which simplifies the generation of spatially optimized meshes. For mapping of the material flow during the filling process the method uses a flow surface traction method as applied in casting simulations. A further strength of the new method is the computational efficiency which allows the modelling of extrusion process with the highest complexity with a response time of 12 hours, which is important for the industrial optimization process.