Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms

A. Samuelson and P. Seshaiyer

Journal of Applied Mathematics, 2011, vol. 2011, 1-24

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:906475

DOI: 10.1155/2011/906475

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