Calculix for deep drawing analysis

Well, that’s an unexpected set of options! Ansys is one of the most complete commercial software available for many types of engineering fields, therefore is very expensive. CalculiX (and some of its pre/post processors such as PrePoMax) is open-source and limited in many analysis types… so it depends on what you want to achieve in your analysis, how much money you want to spend and how much time you have to set the problem.

I’m not familiar with your part (maybe you could share it?), but I know some analyses regarding stamping processes were discussed in this forum, such as this:

And some interesting forming analysis in Martin Kraska examples

Look at OpenRadioss as well, it has interesting capabilities for such analysis and is now open source.