Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 47, Issue 2, Pages 179-184Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2011.05.001
Keywords
Aneurysms; Membrane tubes; Localization; Bifurcation; Stability
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Funding
- EPSRC [EP/F033125/1, EP/G051704/1]
- Engineering and Physical Sciences Research Council [EP/F033125/1, EP/G051704/1] Funding Source: researchfish
- EPSRC [EP/F033125/1, EP/G051704/1] Funding Source: UKRI
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Recent studies on localized bulging in inflated membrane tubes have shown that the initiation pressure for the onset of localization is determined through a bifurcation condition. This kind of localization has also been shown to be much more sensitive to geometrical and material imperfections than classical sub-critical bifurcation into periodic patterns. We use these results to show that the initial formation of aneurysms in human arteries may also be modeled as a bifurcation phenomenon. This bifurcation interpretation could provide a theoretical framework under which different mechanisms leading to, or reducing the risk of, aneurysm formation can be assessed in a systematic manner. In particular, this could potentially help in assessing the integrity of aneurysm repairs. (C) 2011 Elsevier Ltd. All rights reserved.
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