Articles in the Shell theory category

Finding the stress resultant and stress couple in a spherical pressure vessel seems easy enough. Well, this apparently simple problem allows us to highlight subtle thickness effects within shells. It should be emphasized again that these thickness effects have nothing to do with shear corrections. Indeed, shear stresses are null …

In the previous instalment of this series, we analysed a spherical pressure vessel by means of Koiter's linear theory of thin shells. We found the somewhat unexpected result that the stress couple was not null. Besides, we also found that the stress resultant was slightly different from the well-known value …

In structural analysis, thick beams (resp. plates) usually refer to shear deformability, and the Timoshenko beam theory (resp. Mindlin–Reissner plate theory). With curved elements however (e.g. curved beams or shells), the situation is more subtle, as thickness corrections may be necessary even in shells where the shear stress …