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Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms

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  • A. Samuelson
  • P. Seshaiyer

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.

Suggested Citation

  • A. Samuelson & P. Seshaiyer, 2011. "Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-24, September.
    • Handle: RePEc:hin:jnljam:906475
    DOI: 10.1155/2011/906475
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