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Can anyone recommend a set of governing equations for the design of a simple elastomeric balloon that will expand to a "hotdog" shape when inflated to a certain pressure? I have the stress-strain curve for the material, I know what pressure I need to inflate it to, I just can't figure out how to determine what the "empty" geometry needs to be to get me to the inflated shape and wall thickness with a polyisoprene. I'd like to stay within the elastic range of the material so that it deflates with a constant pressure for a specific length of time. Any thoughts?

John