Emery, DR and 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). pp. 1-21. ISSN 1471-2946

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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.

Item Type: Article
Additional Information: The final version of this article and all relevant information related to it, including copyrights, can be found on the publisher website at; https://royalsocietypublishing.org/doi/10.1098/rspa.2021.0311
Subjects: Q Science > QA Mathematics
T Technology > T Technology (General)
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 02 Nov 2021 15:09
Last Modified: 10 Feb 2022 14:13
URI: https://eprints.keele.ac.uk/id/eprint/10181

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