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The complexity and unpredictability of postbuckling responses in even simplethin shells have raised great challenges to emerging technologies exploitingbuckling transitions. Here we comprehensively survey the buckling landscapes toshow the full complexity of the stable buckling states and the transitionmechanisms between each of them. This is achieved by combining a simple andversatile triangulated lattice model for modelling the shell morphologies withefficient high-dimensional free-energy minimisation and transition path findingalgorithms. We show how the simple free energy landscapes of short, lightlycompressed cylinders become vastly more complex at high compressive strains oraspect ratios. We then exploit these landscapes to introduce an effectivemethod for targeted design - landscape biasing. This is used to informthickness modifications enabling landscape redesign, and the development ofstructures which are highly resistant to lateral perturbations. Our methods aregeneral, and can be extended to studying postbuckling responses of othergeometries.

Harnessing energy landscape exploration to control the buckling of cylindrical shells