Elastic buckling of circular plates allowing for prebuckling deformation

Hong, G. M., Wang, C. M. and Kanok-Nukulchai, W. (1993) Elastic buckling of circular plates allowing for prebuckling deformation. Journal of Engineering Mechanics, 119 5: 905-916. doi:10.1061/(ASCE)0733-9399(1993)119:5(905)

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Author Hong, G. M.
Wang, C. M.
Kanok-Nukulchai, W.
Title Elastic buckling of circular plates allowing for prebuckling deformation
Journal name Journal of Engineering Mechanics   Check publisher's open access policy
ISSN 0733-9399
Publication date 1993-05-05
Sub-type Article (original research)
DOI 10.1061/(ASCE)0733-9399(1993)119:5(905)
Open Access Status Not Open Access
Volume 119
Issue 5
Start page 905
End page 916
Total pages 12
Place of publication Reston, VA, United States
Publisher American Society of Civil Engineers
Language eng
Abstract The effect of prebuckling deformation on the elastic buckling of circular plates is studied. Based on Trefftz's initial stress theory, the energy functional is obtained from which the governing differential equation for equilibrium can be derived via calculus of variations. Exact and simple approximate closed-form critical- load expressions are obtained after solving the two-point boundary value problem. The effect of the nonlinear terms involving in-plane displacements in the Green-Lagrange strain expressions on the solutions is also investigated. For circular plates with relatively large thickness-to-radius ratios, the allowance for prebuckling deformation affects the critical load of clamped plates more than simply supported plates. This occurs because the prebuckling deformation is greater in clamped plates, since they undergo higher loads before buckling.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mechanical & Mining Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 2 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 11 Jan 2017, 19:42:19 EST by Clare Nelson on behalf of School of Mechanical and Mining Engineering