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Previous linear bifurcation analyses have evidenced that an axially stretchedsoft cylindrical tube may develop an infinite-wavelength (localised)instability when one or both of its lateral surfaces are under sufficientsurface tension. Phase transition interpretations have also highlighted thatthe tube admits a final evolved "two-phase" state. How the localisedinstability initiates and evolves into the final "two-phase" state is still amatter of contention, and this is the focus of the current study. Through aweakly non-linear analysis conducted for a general material model, the initialsub-critical bifurcation solution is found to be localised bulging or neckingdepending on whether the axial stretch is greater or less than a certainthreshold value. At this threshold value, an exceptionally super-criticalkink-wave solution arises in place of localisation. A thorough interpretationof the anticipated post-bifurcation behaviour based on our theoretical resultsis also given, and this is supported by Finite Element Method (FEM)simulations.

Post-bifurcation behaviour of elasto-capillary necking and bulging in soft tubes