Emery, DR and Fu, Y (2021) Elasto-capillary circumferential buckling of soft tubes under axial loading: existence and competition with localised beading and periodic axial modes. Mechanics of Soft Materials, 3 (1). ISSN 2524-5600

[thumbnail of Emery-Fu-Circumferential-2020-v2.pdf]
Emery-Fu-Circumferential-2020-v2.pdf - Accepted Version

Download (984kB) | Preview
[thumbnail of Emery-Fu2021_Article_Elasto-capillaryCircumferentia.pdf]
Emery-Fu2021_Article_Elasto-capillaryCircumferentia.pdf - Published Version

Download (720kB) | Preview


<jats:title>Abstract</jats:title><jats:p>We provide an extension to previous analysis of the localised beading instability of soft slender tubes under surface tension and axial stretching. The primary questions pondered here are as follows: under what loading conditions, if any, can bifurcation into <jats:italic>circumferential</jats:italic> buckling modes occur, and do such solutions dominate localisation and periodic axial modes? Three distinct boundary conditions are considered: in case 1 the tube’s curved 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. A linear bifurcation analysis is conducted to determine numerically the existence of circumferential mode solutions. In case 1 we focus on the tensile stress regime given the preference of slender compressed tubes towards <jats:italic>Euler buckling</jats:italic> over axisymmetric periodic wrinkling. We show that tubes under several loading paths are highly sensitive to circumferential modes; in contrast, localised and periodic axial modes are absent, suggesting that the circumferential buckling is dominant by default. In case 2, circumferential mode solutions are associated with negative surface tension values and thus are physically implausible. Circumferential buckling solutions are shown to exist in case 3 for tensile <jats:italic>and</jats:italic> compressive axial loads, and we demonstrate for multiple loading scenarios their dominance over localisation and periodic axial modes within specific parameter regimes.</jats:p>

Item Type: Article
Additional Information: This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
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: 11 May 2021 13:14
Last Modified: 11 May 2021 13:14
URI: https://eprints.keele.ac.uk/id/eprint/9537

Actions (login required)

View Item
View Item