Table 1 Description of the three modelling scenarios analysed in this study
Scenario | \({\mathbf{F}}_{{\mathrm{residual}},k}\) | Description |
|---|---|---|
1 | \({\mathbf{F}}_{1}{\mathbf{G}}^{k}\) | Layer-specific residual stresses in the unloaded cylindrical vessel (\({\kappa }_{\mathrm{unloaded}}\)) arise from two subsequent deformations of the isolated layers (\({\kappa }_{\mathrm{isolated}}\)): (1) into a tri-layered flat wall (\({\kappa }_{\mathrm{composite}}\)) that is (2) then bent into \({\kappa }_{\mathrm{unloaded}}\) |
2 | \({\mathbf{I}}\) | Residual stresses in \({\kappa }_{\mathrm{unloaded}}\) are completely neglected as no deformation occurs from \({\kappa }_{\mathrm{isolated}}\) to \({\kappa }_{\mathrm{unloaded}}\) |
3 | \({\mathbf{G}}^{k}\) | Layer-specific residual stresses in \({\kappa }_{\mathrm{unloaded}}\) arise solely from the deformation of the isolated layers (\({\kappa }_{\mathrm{isolated}}\)) into \({\kappa }_{\mathrm{composite}}\). Hence, \({\kappa }_{\mathrm{composite}}\) is used as an approximation of \({\kappa }_{\mathrm{unloaded}}\) |