Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms | Zendy

A. G. Samuelson | Zendy; Padmanabhan Seshaiyer | Zendy

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Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms

Author(s) -

A. G. Samuelson,

Padmanabhan Seshaiyer

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/906475

Subject(s) - subclass , viscoelasticity , stability (learning theory) , aneurysm , mathematics , mechanics , materials science , physics , radiology , medicine , computer science , composite material , machine learning , antibody , immunology

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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