Numerical Simulation of Forming Processes, Using an Arbitrary Lagrangian Eulerian Finite Element Method

Abstract

In this contribution, an Arbitrary Lagrangian Eulerian finite element method is discussed that can be regarded as a continuous remeshing procedure. In the ALE method, the nodal displacements and material displacements are not coupled. This enables the user to keep the mesh regular while the material deforms heavily. The method is well suited for the simulation of processes with very large deformations of solids and path dependent material properties. In the extreme, a steady state process can be simulated, with an Eulerian description in stream direction and at the same time a Lagrangian description perpendicular to the stream direction following the free boundary. The method is demonstrated with an example in the field of roll forming.