Mathematical model of aortic dissection

Beibei Li

Friday 25th February, 2011 16:00-17:00 Mathematics Building, room 516


Aortic dissection occurs when a tear in the wall of the aorta causes blood to flow between the layers of the wall of the aorta and force the layers apart. Aortic dissection is a medical emergency and can quickly lead to death. We focus on the dissection on the media layer of the aorta, and use the physiological free-energy function given by Holzapfel et al.(2000). Residual stress exists in the artery. We take the stress-free artery with an open angle as the reference configuration, and the closed artery with residual stress as the current configuration. The dissection of the artery is idealised as the incremental elastic deformation on the configuration with residual stress. The linear axisymmetric crack on a solid elastic cylinder was introduced by Demir et al.(1990). Our aim is to model the incremental dissection on the elastic cylindrical artery based on the free-energy function given by Hozapfel et al.(2000).

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