Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms

A. Samuelson and P. Seshaiyer

Journal of Applied Mathematics, 2011, vol. 2011, issue 1

Abstract: The enlargement and rupture of intracranial and abdominal aortic aneurysms constitutes a major medical problem. It has been suggested that enlargement and rupture are due to mechanical instabilities of the associated complex fluid‐solid interaction in the lesions. In this paper, we examine a coupled fluid‐structure mathematical model for a cylindrical geometry representing an idealized aneurysm using both analytical and numerical techniques. A stability analysis for this subclass of aneurysms is presented. It is shown that this subclass of aneurysms is dynamically stable both with and without a viscoelastic contribution to the arterial wall.

Date: 2011
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https://doi.org/10.1155/2011/906475

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2011:y:2011:i:1:n:906475

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