A numerical simulation of thermodynamic processes for cryogenic metal forming of aluminum sheets and comparison with experimental results

•Thermodynamic processes for cryogenic sheet metal forming tools were examined.•Static and transient temperature field simulations are evaluated on a Nakajima tool.•Differently arranged cooling loops lead to homogeneous temperature distribution.•Scaling of the geometry leads to significantly increased heat transfer times.•The temperature management of complex forming tools can be developed numerically. Forming at cryogenic temperatures provides a significant improvement in formability of aluminum sheets. This offers the potential for light, complex and highly integrated one-piece components to be produced out of aluminum alloys at sub-zero temperatures. This would allow weight reduction, environmental conservation and cost reduction of a car body to give one example in the automotive industry. For temperature supported processes special forming tools and cooling strategies are required to be able to reach and maintain process stability. Time dependent numerical simulations of the thermodynamic processes of cryogenic sheet metal forming covering all aspects of heat transfer through conduction, convection and radiation play a vital role in the design and development of future tools and are presented for several geometries. Cooling (and heating) strategies (including selection of the number of cooling loops and their relative positioning) in a Nakajima testing tool were evaluated using computational fluid dynamics. These simulations were performed with static and transient solvers to demonstrate the extraction of tool surface temperature distributions on different forming tool geometries. Comparisons of predicted temperature characteristics of an aluminum sheet and experimentally determined temperature distributions were made. The temperature distribution of the surface of an aluminum sheet could be predicted with high accuracy. Further, the influence of the tool size on the parameters temperature transfer times and temperature homogeneity was examined by introducing a scaling factor of the forming tool. It became evident, that the size ratio between the aluminum sheet thickness and the tool contact area has a major influence on these parameters. Finally, further simulations were carried out using a forming tool for representative shaped car body components to show the effects of multiple cooling loops and different cooling strategies.