Localized elastic buckling: non-linearities versus inhomogeneities

Coman, C. D. (2010) Localized elastic buckling: non-linearities versus inhomogeneities. IMA Journal of Applied Mathematics, 75(3), pp. 461-474. (doi: 10.1093/imamat/hxq006)

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Publisher's URL: http://dx.doi.org/10.1093/imamat/hxq006


Buckling of an elastic beam column resting on an inhomogeneous Winkler foundation is revisited from the standpoint of multiscale asymptotic analysis. Despite the complexity posed by the presence of nonlinearity and variable coefficients in the governing eigenproblems, our analytical strategy is shown to capture successfully both the linear and the incipient post-buckling regimes. In particular, the present investigation produces a non-linear amplitude equation with variable coefficients that accounts for the spatial inhomogeneity in the normal restoring force of the foundation. Localization is here due to the spectral properties of the corresponding linearized buckling operator, whereas the role of the non-linearities remains confined to that of amplifying such behaviour.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Coman, Dr Ciprian
Authors: Coman, C. D.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:IMA Journal of Applied Mathematics

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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