I came up with this idea. I moved the die close to the fox so that the contact closes. Then he made a calculation for 0.5s and pressed the pressure for a fraction of a second for 0.001s. I created an impulse to hit the sheet with a die, thereby checking the sheet for penetration. Of course, the impact force from a flying die would be less. But I do not have time, so I applied this method.

What do colleagues say?

I did not use the stabilization damping factor and specified the IMPACT in the solver.