Prevention of localized bulging in an inflated bilayer tube

Yang, Lo; Yang, Ye; Althobaiti, Ali; Xie, Yuxin

doi:10.1016/j.ijmecsci.2019.01.028

Cited by 28 publications

(23 citation statements)

References 51 publications

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“…It was shown in Fu et al (2016) that the bifurcation condition for localized bulging of inflated tubes of arbitrary wall thickness takes a very simple form, namely that the Jacobian determinant of the internal pressure and resultant axial force as functions of two principal stretches is zero. This result makes it possible to examine the effect of rotation (Wang et al, 2017b), fibre-reinforcement (Wang & Fu, 2018), and multi-layering (Liu et al, 2019;Ye et al, 2019) in a systematic manner. An experimental study guided by these newly emerged theoretical results has also been conducted (Wang et al, 2019).…”

Section: Introductionmentioning

confidence: 97%

Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness

Yang

2020

Journal of the Mechanics and Physics of Solids

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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 subcritically 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.

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Section: Introductionmentioning

confidence: 97%

Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness

Yang

2020

Journal of the Mechanics and Physics of Solids

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“…Following these works, a form of bifurcation condition based on the Jacobian function of the internal pressure and axial force, which in turn are expressed in terms of the axial and circumferential stretches, is obtained [27]. Using this method, the effects of multi-layering [28,29] and fibre reinforcement [30] have been examined. In all of these studies, the footprint of BCs is evident.…”

Section: Introductionmentioning

confidence: 99%

Fate of a bulge in an inflated hyperelastic tube: theory and experiment

2021

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Mechanical instability in a pre-tensioned finite hyperelastic tube subjected to a slowly increasing internal pressure produces a spatially localized bulge at a critical pressure. This instability is studied in controlled experiments on inflated latex rubber tubes, from the perspective of buckling observed in aneurysms and their rupture risk. The fate of the bulge under continued inflation is governed by the end-conditions and the initial tension in the tube. In a tube with one end fixed and a weight attached to the other freely moving end, the bulge propagates axially at low initial tension, growing in length, and the tube relaxes by extension without buckling. Rupture occurs when the tension is high. By contrast, the bulge formed in an initially stretched tube held fixed at both its ends can buckle or rupture, depending on the amount of initial tension. Experiments are reported for different initial tensions and boundary conditions (BCs). Failure maps in the stretch parameter space and in stretch–tension space are constructed by extending existing theories for bulge formation and buckling analyses to the experimentally relevant BCs. Failure maps deduced from the theory are compared against experiments, and the underlying assumptions are critically assessed. Experiments reveal that buckling provides an alternative route to relieve the stress built up during inflation. Hence, buckling, when it occurs, can be a protective fail-safe mechanism against the rupture of a bulge in an inflated elastic tube.

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“…The mathematical model is based on an elastic inclusion problem to investigate the growth of plant root and its surrounding medium. In fact, the field of mechanics seems to have a prominent role to investigate and explain biomechanical mechanisms ( [33][34][35][36]). In particular, the theory of linear elasticity can offer a possible J o u r n a l P r e -p r o o f way to describe complex processes by translating into mechanical problems, such as the brain deformation due to a decompressive craniectomy ( [35]) and the mechanical relationship between the tumor growth and its environment ( [33,34]).…”

Section: Introductionmentioning

confidence: 99%

Plant root penetration and growth as a mechanical inclusion problem

Calusi

Tramacere

Gualtieri

et al. 2020

International Journal of Non-Linear Mechanics

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This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

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Prevention of localized bulging in an inflated bilayer tube

Cited by 28 publications

References 51 publications

Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness

Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness

Fate of a bulge in an inflated hyperelastic tube: theory and experiment

Plant root penetration and growth as a mechanical inclusion problem

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