Fu, YB and Wang, J (2017) Effect of double-fibre reinforcement on localized bulging of an inflated cylindrical tube of arbitrary thickness. Journal of Engineering Mathematics. ISSN 0022-0833

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Abstract

We consider localized bulging of an inflated cylindrical hyperelastic tube of arbitrary thickness that is helically reinforced by two families of fibres. It is shown that localized bulging may become impossible, irrespective of the end conditions, when the tube wall becomes thick enough. This is in sharp contrast with an isotropic hyperelastic tube without fibre reinforcement for which localized bulging has previously been shown to be possible no matter how thick the tube wall is and for which the membrane theory provides a very good approximation for the ratio of wall-thickness/radius as large as 0.67. Our findings provide a feasible explanation on why aneurysms cannot occur in healthy arteries but become possible following pathological changes. They can also be used to guide the design of tubular structures where localized bulging should be prevented.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Kluwer Academic Publishers at http://dx.doi.org/10.1007/s10665-017-9899-5 - please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: Localized bulging, rubber tubes, aneurysm, fibre-reinforcement, nonlinear elasticity
Subjects: Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Faculty of Natural Sciences > School of Computing and Maths
Depositing User: Symplectic
Date Deposited: 09 May 2017 13:41
Last Modified: 09 May 2017 13:52
URI: http://eprints.keele.ac.uk/id/eprint/3355

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