Effect of residual stresses on buckling localization in a cylindrical panel

Localization, in the sense of a more or less abrupt change from a smoothly varying deformation pattern to a pattern involving one or more regions of h ighly localized deformation, occurs in a wide variety of circumstances, inc luding shear band localizations in structural metals, rocks, and concrete a nd localized tearing in sheet forming operations. The onset of necking in t he round bar tensile test is a classic example of this type of localization . A similar observation in structural buckling is that the final buckled co nfiguration is a localized mode in contrast to the periodic mode associated with the critical buckling load. In buckling, as in tensile necking, the b asic mechanism of localization is associated with a bifurcation in the vici nity of the maximum load point. In particular narrow cylindrical panels occ ur in stiffened cylindrical shells and, depending on their curvature, may o r may not have a load maximum associated with deformation in the periodic b uckling mode. previously we analyzed the development of buckling pattern lo calization in elastic-plastic cylindrical panels subject to axial compressi on, The effect of residual stresses on buckling: localization in cylindrica l panels is nos explored.