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

Ciprian D. Coman

doi:10.1007/s00033-022-01858-x

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

Ciprian D. Coman

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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
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	https://doi.org/10.1007/s00033-022-01858-x
Publication status	Published - 1 Dec 2022

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equatorial2Accepted author manuscript, 667 KBLicence: Other

Cite this

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title = "Self-weight buckling of thin elastic shells: the case of a spherical equatorial segment",

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.",

keywords = "Boundary layers, Eigenvalue problems, Localised deformations, Shallow shells, WKB approximations",

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AU - Coman, Ciprian D.

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N2 - 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.

AB - 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.

KW - Boundary layers

KW - Eigenvalue problems

KW - Localised deformations

KW - Shallow shells

KW - WKB approximations

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JF - Zeitschrift fur Angewandte Mathematik und Physik

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ER -

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

Abstract

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