Building a Submarine-Like Structure: Materials & Thickness for a Given Volume

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I´m trying to find approx. numbers or formulas for a submarine like structure to mantain a constant volume. For a given volume, which materials and to what thickness should the container be?
 
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No material can [passively] maintain a constant volume under pressure. You'll have to either design an active structural integrity system or decide how much deformation is allowable.
 


Even when talking about 3-6atm´s? Understandable that everything has it´s limits. I´m looking at for example: a steal structure and trying to find a formula to estimate the wall thickness, considering there would be let´s say 6 atm´s of pressure or let´s say five to make the math easier. Thanks for your reply! Oh, and the gas inside would be air at 1atm.