A Universal Localized Failure Mechanism for Real Cylindrical Shells

Abstract

From cell development to space rockets, the mechanical stability of thin shells is crucial across many industrial and natural processes. However, predicting shells' failure properties remains an open challenge, owing to their sensitivity to imperfections inevitably present in real structures. Existing predictive methods are informed by classical stability analyses of idealized shells, which associate shell buckling with a spontaneously emerging delocalized buckling mode. Here, we show through experimental and numerical observations how realistic geometric imperfections instead result in a universal localized buckling mode. The profile of this mode is robust across shells despite their differing underlying defect structures. Further contrasting with classical predictions, a real shell's equilibrium surface deformations grow in the shape of this universal localized mode even at stable loads well before failure. Our findings show that these complex nonlinear dynamics for loads below buckling are described by a 1-D relationship for structures buckling from a saddle-node bifurcation instability. This breakthrough provides a simplified yet general understanding of buckling mechanisms, leading to improved non-destructive predictive methods. To showcase these applications, we experimentally implement a lateral-probing technique that predicts the buckling loads of several unmodified shells to within 1% of the correct value.