Open Access
2011 Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms
A. Samuelson, P. Seshaiyer
J. Appl. Math. 2011: 1-24 (2011). DOI: 10.1155/2011/906475


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.


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A. Samuelson. P. Seshaiyer. "Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms." J. Appl. Math. 2011 1 - 24, 2011.


Published: 2011
First available in Project Euclid: 15 March 2012

zbMATH: 1330.74101
MathSciNet: MR2835688
Digital Object Identifier: 10.1155/2011/906475

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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