A velocity based approach including acceleration to the finite element computation of viscoplastic problems
Résumé
We present a velocity based approach including acceleration to the finite element computation of metal forming problems, based on the viscoplastic Norton–Hoff law. In order to reduce computational cost, we suggest substituting the classical solution procedure based on standard Newton–Raphson method for solving the set of non-linear equations, with a new one which needs only one computation inside a time step and which is based on the linearization of the non-linear equations over time. The new procedure was introduced as an option in the existing computer code FORGE2©. Some examples are used for comparison between the classical procedure and the new one. They show that the new procedure is stable and accurate, and in comparison to the classical one it reduces the total number of resolutions of linear systems. Therefore, significant computer time reduction can be expected for 3-D problems.