The Mathematical Institute, University of Oxford, Eprints Archive

On the mechanical stability of growing arteries

Goriely, A. and Vandiver, R. (2010) On the mechanical stability of growing arteries. On the mechanical stability of growing arteries . (Submitted)



Arteries are modeled, within the framework of nonlinear elasticity, as incompressible two-layer cylindrical structures that are residually stressed through differential growth. These structures are loaded by an axial force, internal pressure and have nonlinear, anisotropic, hyperelastic response to stresses. Parameters for this model are directly related to experimental observations. The possible role of axial residual stress in regulating stress in arteries and preventing buckling instabilities is investigated. It is shown that axial residual stress lowers the critical internal pressure leading to buckling and that a reduction of axial loading may lead to a buckling instability which may eventually lead to arterial tortuosity.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:963
Deposited By: Ruby Hawkins
Deposited On:02 Sep 2010 09:40
Last Modified:29 May 2015 18:39

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