ok, I'd analysis as a complete annulus (I think your part was the /12, and you were representing my suggestion of a complete annulus with two 1/2s). then analyze a pie sector slice, say 30deg, to see if the results are similar. if not the easy complete annulus is the least represetnative, and expand the pie to a semi-circle (by integration).
you could FEA a couple of bounding designs.
FEA on this should be really simple ... you're drafting this, right? import the solid model (I'm assuming), tet-mesh, load one surface with pressure, constrain the perimeter, run ...
or 2D model it with plate elements.
if you're clever you can build the FEM using parameters (OD, ID, t) and so quickly generate the model (without a solid drafting model).
how big is this ? how much pressure ?
another day in paradise, or is paradise one day closer ?