Closed-Form Solutions for Buckling of Long Anisotropic Plates with Various Boundary Conditions under Axial Compression

J. Enrique Herencia, Paul M. Weaver, Michael I. Friswell

Research output: Contribution to journalArticle (Academic Journal)peer-review

18 Citations (Scopus)


Closed-form solutions for buckling of long plates with flexural/twist anisotropy with the short edges simply supported and with the longitudinal edges simply supported, clamped, or elastically restrained in rotation under axial compression are presented. An energy method (Rayleigh-Ritz) is employed to obtain the critical buckling loads. The critical buckling loads are expressed in terms of minimum nondimensional buckling coefficients and stiffness parameters. The new closed-form solutions show an excellent agreement when compared to existing solutions and finite-element analysis. Due to their simplicity and accuracy, the new closed-form solutions can be confidently used as an alternative to computationally expensive structural analysis to assess buckling in the preliminary design phase of composite structures.

Original languageEnglish
Pages (from-to)1105-1114
Number of pages10
JournalJournal of Engineering Mechanics
Issue number9
Publication statusPublished - Sep 2010

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