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 language | English |
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Article number | 228 |
Number of pages | 24 |
Journal | Zeitschrift fur Angewandte Mathematik und Physik |
Volume | 73 |
Issue number | 6 |
Early online date | 16 Oct 2022 |
DOIs | |
Publication status | Published - 1 Dec 2022 |