Contact Between Spherical Surface and Flat Surface

Hello,

Could anyone tell me if there is any way that I could simulate a spherical object made of

rubber (or whatever else) pressing against a flat plate to view the contact patch that is created?

I think the main problem that I am having regards defining the initial point contact that exists

between the sphere and the plate; the program doesn't seem to automatically detect it which

leads me to believe that this might not be possible.

I would create a small flat surface on the sphere to allow easier mating between that

area and the plate, but the point of this study is to view the contact patch that is

created, and I feel that this would damage the results. Any help would be appreciated.
Thank you very much!

Respectfully,

Austin Allen