I'm going to give you some blunt, yet hopefully productive, comments and advice:
- your mesh is crap. The fluctuations that you show in your stress plot ought not to be there, and are as a result of a very poor mesh. You have likely used tetrahedral elements - I truly hope that you have used quadratic tetrahedrals, because linear tets are all kinds of bad. I would take
prex's advice and use shell elements, but if you are bound and determined to use solid elements, please use hexahedral elements. Ensure that you have a minimum of 3 quadratic bricks in the through-thickness direction, and at least 96 in the circumferential direction.
- do not model any sort of fine fillet radius at the corner. The methodology will sort out the peak stresses.
- cone-to-cylinder junctions often result in compressive stresses, which lead to a different failure mode that is less dependent on the magnitude of the stress: buckling.
- follow the methodology presented in ASME Section VIII, Division2, Part 5. You will need to satisfy ALL of the failure modes: Plastic Collapse, Local Failure, Collapse From Buckling, and Failure From Cyclic Loading: Ratcheting. And you will also need to consider possibly fatigue if you will be in cyclic service. You are performing calculations for an ASME Section VIII, Division 1 vessel, utilizing the statement U-2(g). Although there is not (yet) guidance on how to use FEA to accomplish this, I have written a post that addresses what I believe to be industry best practice in this regard -
My recommendation to you is that if you have never done this before, either get a good mentor or hire an expert. I would estimate that a design like this would probably take me a day to do, and then another day or two to write up the report, suitable for submission to the most challenging jurisdictions in the world.