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Delayed bifurcation in elastic snap-through instabilities

Abstract:

We study elastic snap-through induced by a control parameter that evolves dynamically. In particular, we study an elastic arch subject to an end-shortening that evolves linearly with time, i.e. at a constant rate. For large end-shortening the arch is bistable but, below a critical end-shortening, the arch becomes monostable. We study when and how the arch transitions between states and show that the end-shortening at which the fast ‘snap’ happens depends on the rate at which the end-shortenin...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jmps.2021.104386

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Elsevier Publisher's website
Journal:
Journal of the Mechanics and Physics of Solids Journal website
Volume:
151
Article number:
104386
Publication date:
2021-03-02
Acceptance date:
2021-02-26
DOI:
ISSN:
0022-5096
Language:
English
Keywords:
Pubs id:
1165717
Local pid:
pubs:1165717
Deposit date:
2021-03-03

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