Deforming part under pressure simulation without any fixed surfaces on the specific body.

I want to simulate the deformation of a more flexible part attached to a more rigid part. the top is a polymer and the bottom is a metal. I am only interested in the deformation of the softer top part but I want to know the deformation of all surfaces. Ideally no surface of the softer part is completely fixed. The pressure could be applied as indicated with red arrows and the deformation would probably be shaped something like the yellow line but much less noticeable in reality.

How do i set the constraints up in the simulation environnement?

 

 

These are cut down the middle.