Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending

Ciprian D. Coman, Andrew P. Bassom

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Singular perturbation techniques are used to investigate the linear eigenvalue problem that describes the partial wrinkling of a pre-stressed rectangular thin elastic plate under in-plane bending. The dependence of the critical load and the wavelength of the localised oscillatory pattern on the non-dimensional bending rigidity of the plate is captured with a higher-order boundary-layer analysis. Comparisons with direct numerical simulations of the original eigenproblem confirm the accuracy and versatility of the asymptotic technique explored in this work.

Original languageEnglish
Pages (from-to)327-338
Number of pages12
JournalJournal of Engineering Mathematics
Volume63
Issue number2-4
Early online date27 Sep 2007
DOIs
Publication statusPublished - Apr 2009
Externally publishedYes

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Higher-order Asymptotics
Perturbation techniques
Direct numerical simulation
Thin Plate
Buckling
Rigidity
Boundary layers
Wrinkling
Wavelength
Critical Load
Eigenproblem
Elastic Plate
Perturbation Technique
Singular Perturbation
Eigenvalue Problem
Boundary Layer
Higher Order
Partial
Direct numerical Simulation

Cite this

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Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending. / Coman, Ciprian D.; Bassom, Andrew P.

In: Journal of Engineering Mathematics, Vol. 63, No. 2-4, 04.2009, p. 327-338.

Research output: Contribution to journalArticle

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AU - Coman, Ciprian D.

AU - Bassom, Andrew P.

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