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Figure 1 - Nonlinear buckling behaviour of spherical shells: Barriers & symmetry-breaking dimples

Relation between the pressure and pole buckling deflection for axisymmetric buckling of a perfect spherical shell. The dimple buckle is localized at the poles. The limit of moderate rotation theory as R/t becomes large is f (ξ ), and the results of moderate rotation theory are well approximated by f (ξ ) if ξ < 0.2R/t.
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