Remarks on elastic buckling for sectorial plates

Coman, C.D. (2009) Remarks on elastic buckling for sectorial plates. International Journal of Engineering Science, 47(10), pp. 1002-1013. (doi: 10.1016/j.ijengsci.2009.04.004)

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This work investigates the edge-buckling experienced by a sectorial plate in a uniform bi-axial state of stress and subject to in-plane bending. Since the governing differential equations have variable coefficients, it turns out that the neutrally stable eigenfunctions can be qualitatively quite different as the mode number varies. Our interactive boundary-layer analysis succeeds in capturing the most dangerous mode associated with the global minimum of the marginal stability curve, while a complementary WKB route supplies an explanation for the morphological transitions experienced by the eigenmodes. The validity of our analysis is confirmed by direct numerical simulations of the full fourth-order buckling equation, which are in excellent agreement with the theoretical considerations.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Coman, Dr Ciprian
Authors: Coman, C.D.
Subjects:Q Science > QC Physics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Journal of Engineering Science
Published Online:19 May 2009

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
469221Multiscale asymptotics for partial wrinkling of thin films in tension and related problems.Ciprian ComanEngineering & Physical Sciences Research Council (EPSRC)EP/F035136/1Mathematics