“…Examples of this type include necking of a polymeric strip under stretching [6,7], Lüders band formation in steel strips [8,9], localized bulging in inflated membrane tubes [10][11][12], kink band formation in fibre-reinforced composites [13][14][15][16][17][18][19] and layered structures [20,21], and stress-induced phase transformations [22][23][24]. For each of these problems, the actual load deformation diagram typically contains four distinctive sections: a section of uniform deformation that is terminated when the load reaches a maximum, a snap-back section, growth of the localized deformation as the load decreases, and propagation of the localized deformation at a constant value of the load.…”