For a submarine-like structure to maintain a constant volume under pressure, it's crucial to select appropriate materials and determine their thickness. No material can inherently maintain a constant volume under pressure without deformation, so an active structural integrity system may be necessary. The discussion highlights the importance of calculating wall thickness based on the expected pressure, with examples given for steel structures under 5 to 6 atmospheres. Understanding the limits of materials and allowable deformation is essential for design. Accurate formulas and calculations are needed to ensure safety and functionality in high-pressure environments.