This contribution deals with the process-machine interaction while forming parts by sheet-bulk metal forming. The goal of this process is to form complex functional elements, such as gearing and carrier elements, by means of controlled thickening of the metal sheet. The high process forces in vertical as well as in horizontal direction to form these elements, cause displacements of the tool and press components, which lead to parts defects retroactively. This work demonstrates these challenges with regard to manufacturing of asymmetrical parts and introduces a suitable approach to represent the process-machine interaction by modelling.