Volumetric strain in thin-walled pressure vessels quantifies the fractional change in enclosed volume (ΔV/V) resulting from the biaxial stress state induced by internal pressure, and is derived from the normal strains in the principal stress directions using Hooke's law with Poisson's ratio. For a cylindrical vessel, volumetric strain equals (2ε₁ + ε₂), where ε₁ and ε₂ are the circumferential and longitudinal strains; for a spherical vessel, it equals three times the (equal, biaxial) surface strain. This belongs to the theory of thin-walled pressure vessels within mechanics of materials (strength of materials), extending the prior derivation of circumferential (hoop) and longitudinal stresses to deformation and volume-change behavior.
Volumetric strain in thin-walled pressure vessels quantifies the fractional change in enclosed volume (ΔV/V) resulting from the biaxial stress state induced by internal pressure, and is derived from …