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Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms
- Source :
- Journal of Applied Mathematics, Vol 2011 (2011)
- Publication Year :
- 2011
- Publisher :
- Wiley, 2011.
-
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.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 1110757X and 16870042
- Volume :
- 2011
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.6ec71e815074097979bf7e8b7125cc8
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2011/906475