2022
DOI: 10.1007/s00033-022-01743-7
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Effect of torsion on the initiation of localized bulging in a hyperelastic tube of arbitrary thickness

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Cited by 7 publications
(2 citation statements)
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“…Fu et al (2016) showed that the associated bifurcation condition for localized bulging corresponds to the vanishing of the Jacobian determinant of the internal pressure and resultant axial force as functions of the azimuthal stretch and the axial stretch; see also Yu & Fu (2022) for an alternative derivation. This provides a framework under which additional effects such as rotation (Wang et al, 2017), double-fiber-reinforcement (Wang & Fu, 2018), bi-laying (Liu et al, 2019;Ye et al, 2019), torsion (Althobaiti, 2022), and surface tension (Emery & Fu, 2021a,b,c;Emery, 2023) can be assessed in a systematic manner. Ye et al (2020) conducted a weakly non-linear analysis and derived the bulging solution explicitly.…”
Section: Introductionmentioning
confidence: 99%
“…Fu et al (2016) showed that the associated bifurcation condition for localized bulging corresponds to the vanishing of the Jacobian determinant of the internal pressure and resultant axial force as functions of the azimuthal stretch and the axial stretch; see also Yu & Fu (2022) for an alternative derivation. This provides a framework under which additional effects such as rotation (Wang et al, 2017), double-fiber-reinforcement (Wang & Fu, 2018), bi-laying (Liu et al, 2019;Ye et al, 2019), torsion (Althobaiti, 2022), and surface tension (Emery & Fu, 2021a,b,c;Emery, 2023) can be assessed in a systematic manner. Ye et al (2020) conducted a weakly non-linear analysis and derived the bulging solution explicitly.…”
Section: Introductionmentioning
confidence: 99%
“…Previous linear bifurcation analyses (Haughton and Ogden, 1979a,b) had focussed on periodic axi-symmetric modes, and the zero wavenumber mode was incorrectly thought to correspond to an alternate uniformally inflated state. Since the revelation of Fu et al (2016), many additional effects such as rotation (Wang et al, 2017), double fibre-reinforcement (Wang and Fu, 2018), bi-layering (Liu et al, 2019) and torsion (Althobaiti, 2022) have been incorporated into the analysis.…”
Section: Introductionmentioning
confidence: 99%