Emery, DR ORCID: https://orcid.org/0000-0001-7747-0279 and Fu, Y ORCID: https://orcid.org/0000-0002-9617-0420 (2021) Localised bifurcation in soft cylindrical tubes under axial stretching and surface tension. International Journal of Solids and Structures, 219-20. 23- 33.

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Abstract

We investigate localised bulging or necking in an incompressible, hyperelastic cylindrical tube under axial stretching and surface tension. Three cases are considered in which the tube is subjected to different constraints. In case 1 the inner and outer surfaces are traction-free and under surface tension, whilst in cases 2 and 3 the inner and outer surfaces (respectively) are fixed to prevent radial displacement and surface tension. However, each free surface in these latter two cases is still under surface tension. We first state the analytical bifurcation conditions for localisation and then validate them numerically whilst determining whether localisation is preferred over bifurcation into periodic modes. It is shown that bifurcation into a localised solution is unattainable in case 1 but possible and favourable in cases 2 and 3. In contrast, in case 1 any bifurcation must necessarily take the form of a periodic mode with a non-zero wave number. Our results are validated using Finite Element Method (FEM) simulations.

Item Type: Article
Additional Information: © 2021 Elsevier Ltd. All rights reserved. The final version of this accepted manuscript and all relevant information related to it, including copyrights, can be found online at; https://www.sciencedirect.com/science/article/pii/S0020768321000615?via%3Dihub#f0005
Uncontrolled Keywords: Soft tube; Non-linear elasticity; Surface tension; Bifurcation; Localisation
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
T Technology > T Technology (General)
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 10 May 2021 15:11
Last Modified: 09 Jun 2021 12:50
URI: https://eprints.keele.ac.uk/id/eprint/9534

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