An Efficient Axi-symmetric Element Based on Inverse Approach for Cold Forging Modeling

This paper presents an efficient axi-symmetric finite element based on the "Inverse Approach" for the numerical modeling of cold forging process. In contrast to the classical incremental methods, the Inverse Approach exploits the known shape of the final part and executes the calculation from the final part to the initial billet. The assumptions of the proportional loading and the simplified tool actions make the I.A. calculation very fast. The formulation of an axi-symmetric element based on the I. A. is presented. The metalʹs incompressibility is ensured by the penalty method. The comparison with the simulation by Abaqus® shows the efficiency and limitations of the I.A. This kind of modeling will be a good tool for the preliminary preform design.