Self-weight buckling of thin elastic shells: the case of a spherical equatorial segment

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Abstract

Buckling of an equatorial shallow shell segment under its own weight is reconsidered here from a novel point of view involving singular perturbation techniques. A number of different asymptotic approximations for the critical buckling load are proposed and discussed in detail, while comparisons with direct numerical simulations of the associated boundary-value problem confirm the excellent accuracy of the results obtained.

Original languageEnglish
Article number228
Number of pages24
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume73
Issue number6
Early online date16 Oct 2022
DOIs
Publication statusE-pub ahead of print - 16 Oct 2022

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