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Metal Working/Forming using punches

Metal Working/Forming using punches

Metal Working/Forming using punches

(OP)
I have a standard rivet (NAS-1198-3-6) with a .045 inch diameter drilled .055 inches deep in the end (leaving a wall thickness of .0245 inches).

I plan on using a formed punch on a pneumatic cylinder to "roll" the wall material outward to form what is essentially a domed end, thus staking the rivet.

Can anyone refer me to a resource that will aid me in determining the force (size of cylinder) required to form the end of the rivet?  I have looked through Roark's and several cases seem to apply, but are innaccurate due to aspect ratios and other assumptions that do not apply to this scenario.  A reference for metal working/metal forming seems to be the direction I need to go, since this will be a plastic deformation.

TIA,
--Scott

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