One focus of the Priority Program 1180 is the prediction of process machine interactions. The investigated manufacturing processes as well as the machine tool behavior and the physical phenomena vary within the projects of this program. So depending on the issues that were investigated, the modeling approach that is best suitable for the specific problem has to be applied. To predict the interactions these models have to be coupled and simulated. Besides the modeling approaches different simulation techniques have also been applied. This chapter gives an overview of the applied models of the structural machine behavior and the manufacturing processes, the coupling of these models as well as the simulation techniques that were used.