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Unfolding of homoclinic and heteroclinic behaviour in a multiply-symmetric strut buckling problem

journal contribution
posted on 2023-05-18, 15:53 authored by Wadee, MK, Andrew BassomAndrew Bassom
A structure exhibiting localized buckle patterns is analysed asymptotically to reveal how such solutions are limited by a restabilizing non-linearity. The calculation reveals the fashion in which solutions become periodic (heteroclinic) in the vicinity of a critical coefficient by way of the propagation of a front, which is found to be a boundary layer linking the two distinct regions (flat and periodic). The predictions are compared against direct numerical solutions and excellent agreement between the two independent methods is found.

History

Publication title

Quarterly Journal of Mechanics and Applied Mathematics

Volume

65

Pagination

141-160

ISSN

0033-5614

Department/School

School of Natural Sciences

Publisher

Oxford Univ Press

Place of publication

Great Clarendon St, Oxford, England, Ox2 6Dp

Rights statement

Copyright The author 2011. Published by Oxford University Press; all rights reserved.

Repository Status

  • Restricted

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Expanding knowledge in the mathematical sciences

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