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On the interaction of uni-directional and bi-directional buckling of a plate supported by an elastic foundation
journal contribution
posted on 2023-05-18, 18:42 authored by Wadee, MK, Lloyd, DJB, Andrew BassomAndrew BassomA thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become unstable. Here, the post-buckling of such a structure is investigated and several important phenomena are identified, including the transition of patterns from stripes to spots and back again. The interaction between these forms is of importance for understanding the possible post-buckling behaviours of this structural system. In addition, both periodic and some localized responses are found to exist as the dimensions of the plate are increased and this becomes relevant when the characteristic wavelengths of the buckle pattern are small compared with the size of the plate. Potential applications of the model range from macroscopic industrial manufacturing of structural elements to the understanding of micro- and nanoscale deformations in materials.
History
Publication title
Proceedings of the Royal Society AVolume
472Issue
2188Article number
20150873Number
20150873Pagination
1-20ISSN
1364-5021Department/School
School of Natural SciencesPublisher
Royal Soc LondonPlace of publication
6 Carlton House Terrace, London, England, Sw1Y 5AgRights statement
Copyright 2016 The Author(s)Repository Status
- Restricted