Dominic Emery
Post-bifurcation behaviour of elasto-capillary necking and bulging in soft tubes
Emery, Dominic; Fu, Yibin
Abstract
Previous linear bifurcation analyses have evidenced that an axially stretched soft cylindrical tube may develop an infinite-wavelength (localized) instability when one or both of its lateral surfaces are under sufficient surface tension. Phase transition interpretations have also highlighted that the tube admits a final evolved 'two-phase' state. How the localized instability initiates and evolves into the final 'two-phase' state is still a matter of contention, and this is the focus of the current study. Through a weakly nonlinear analysis conducted for a general material model, the initial sub-critical bifurcation solution is found to be localized bulging or necking depending on whether the axial stretch is greater or less than a certain threshold value. At this threshold value, an exceptionally super-critical kink-wave solution arises in place of localization. A thorough interpretation of the anticipated post-bifurcation behaviour based on our theoretical results is also given, and this is supported by finite-element method simulations.
Citation
Emery, D., & Fu, Y. (2021). Post-bifurcation behaviour of elasto-capillary necking and bulging in soft tubes. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477(2254), 1-21. https://doi.org/10.1098/rspa.2021.0311
Journal Article Type | Article |
---|---|
Acceptance Date | Sep 9, 2021 |
Online Publication Date | Oct 27, 2021 |
Publication Date | Oct 27, 2021 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Print ISSN | 1364-5021 |
Electronic ISSN | 1471-2946 |
Publisher | The Royal Society |
Peer Reviewed | Peer Reviewed |
Volume | 477 |
Issue | 2254 |
Pages | 1-21 |
DOI | https://doi.org/10.1098/rspa.2021.0311 |
Public URL | https://keele-repository.worktribe.com/output/421349 |
Publisher URL | https://royalsocietypublishing.org/doi/10.1098/rspa.2021.0311 |
Files
PRSA-Emery-Fu-2021-revised-v2.pdf
(1 Mb)
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Publisher Licence URL
https://creativecommons.org/licenses/by/4.0/
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