Ye, Y, Liu, Y and Fu, Y (2020) Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness. Journal of the Mechanics and Physics of Solids, 135. 103804 - 103804. ISSN 0022-5096

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A weakly nonlinear analysis is conducted for localized bulging of an inflated hyperelastic cylindrical tube of arbitrary wall thickness. Analytical expressions are obtained for the coefficients in the amplitude equation despite the fact that the primary deformation is inhomogeneous and the incremental governing equations have variable coefficients. It is shown that for each value of wall thickness a localized bulging solution does indeed bifurcate sub-critically from the primary solution for almost all values of fixed axial force or fixed axial stretch for which the bifurcation condition is satisfied, as reported in all previous experimental studies, but there also exist extreme cases of fixed axial stretch for which localized bulging gives way to localized necking. Validation is carried out by comparing with results obtained under the membrane assumption and with fully numerical simulations based on Abaqus. It is shown that even for thin-walled tubes the membrane approximation becomes poorer and poorer as the tube is subjected to increasingly larger and larger axial stretch or force prior to inflation.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Elsevier at - please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: localized bulging, Rubber tubes, Necking, Bifurcation, Nonlinear elasticity
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
T Technology > TJ Mechanical engineering and machinery
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 02 Dec 2019 11:54
Last Modified: 25 Nov 2020 01:30

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