Stability of membrane elastodynamics with applications to cylindrical aneurysms

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. copyright © 2011 a. samuelson and p. seshaiyer.