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Initiation of aneurysms as a mechanical bifurcation phenomenon

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Abstract

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.

Publication Date Jan 1, 2012
Journal International Journal of Non-Linear Mechanics
Print ISSN 0020-7462
Publisher Elsevier
Pages 179 - 184 (6)
DOI https://doi.org/10.1016/j.ijnonlinmec.2011.05.001
Keywords Aneurysms, Membrane tubes, Localization, Bifurcation, Stability

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